MAT 212 Excel Problem Riemann Sums Shelly's Roadside Fruit has found that the marginal cost of producing x pints of fresh-squeezed orange juice is given by () = 0.000008 2 0.004 + 2, 350 Where C is the cost in dollars. Approximate the total cost of producing 270 pints, using: 2 subintervals 100 subintervals 500 subintervals Over [0 to 270] and the left endpoint of each subinterval. What subinterval gives you the most accurate answer and why? Does it make a huge difference to increase the subinterval? For full credit clearly label your excel spreadsheet. The excel sheet must have your name in the saved title. Drop the excel sheet in the dropbox in D2L. This assignment will not be accepted on paper, or emailed to the professor. ( ) = 0.000008 ^2 0.004 +2, Multiplier 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 (delta x1) (delta x2) for (delta x3) for 2 sub- 100 sub- for 500 subintervals intervals intervals 135 2.7 0.54 x1 x2 0 0 135 2.7 5.4 8.1 10.8 13.5 16.2 18.9 21.6 24.3 27 29.7 32.4 35.1 37.8 40.5 43.2 45.9 48.6 51.3 54 56.7 59.4 62.1 64.8 67.5 70.2 72.9 75.6 78.3 81 83.7 86.4 89.1 91.8 94.5 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 97.2 99.9 102.6 105.3 108 110.7 113.4 116.1 118.8 121.5 124.2 126.9 129.6 132.3 135 137.7 140.4 143.1 145.8 148.5 151.2 153.9 156.6 159.3 162 164.7 167.4 170.1 172.8 175.5 178.2 180.9 183.6 186.3 189 191.7 194.4 197.1 199.8 202.5 205.2 207.9 210.6 213.3 216 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 218.7 221.4 224.1 226.8 229.5 232.2 234.9 237.6 240.3 243 245.7 248.4 251.1 253.8 256.5 259.2 261.9 264.6 267.3 270 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 4 +2, 350 x3 Cx1 Cx2 Cx3 Cx1*delta x1 Cx1*delta x1 Cx1*delta x1 0 2 2 2 270 0.54 1.08 1.62 2.16 2.7 3.24 3.78 4.32 4.86 5.4 5.94 6.48 7.02 7.56 8.1 8.64 9.18 9.72 10.26 10.8 11.34 11.88 12.42 12.96 13.5 14.04 14.58 15.12 15.66 16.2 16.74 17.28 17.82 18.36 18.9 1.6058 1.9892583 1.9786333 1.9681249 1.9577331 1.947458 1.9372995 1.9272577 1.9173325 1.9075239 1.897832 1.8882567 1.8787981 1.8694561 1.8602307 1.851122 1.8421299 1.8332545 1.8244957 1.8158535 1.807328 1.7989191 1.7906269 1.7824513 1.7743923 1.76645 1.7586243 1.7509153 1.7433229 1.7358471 1.728488 1.7212455 1.7141197 1.7071105 1.7002179 1.693442 1.9978423 1.9956893 1.993541 1.9913973 1.9892583 1.987124 1.9849943 1.9828693 1.980749 1.9786333 1.9765223 1.9744159 1.9723142 1.9702172 1.9681249 1.9660372 1.9639542 1.9618758 1.9598021 1.9577331 1.9556688 1.9536091 1.9515541 1.9495037 1.947458 1.945417 1.9433806 1.9413489 1.9393219 1.9372995 1.9352818 1.9332688 1.9312604 1.9292567 1.9272577 216.783 5.4 5.370997464 5.342309856 5.313937176 5.285879424 5.2581366 5.230708704 5.203595736 5.176797696 5.150314584 5.1241464 5.098293144 5.072754816 5.047531416 5.022622944 4.9980294 4.973750784 4.949787096 4.926138336 4.902804504 4.8797856 4.857081624 4.834692576 4.812618456 4.790859264 4.769415 4.748285664 4.727471256 4.706971776 4.686787224 4.6669176 4.647362904 4.628123136 4.609198296 4.590588384 4.5722934 1.08 1.0788348597 1.0776722388 1.0765121374 1.0753545554 1.0741994928 1.0730469496 1.0718969259 1.0707494216 1.0696044367 1.0684619712 1.0673220252 1.0661845985 1.0650496913 1.0639173036 1.0627874352 1.0616600863 1.0605352568 1.0594129467 1.058293156 1.0571758848 1.056061133 1.0549489006 1.0538391876 1.0527319941 1.05162732 1.0505251653 1.04942553 1.0483284142 1.0472338178 1.0461417408 1.0450521832 1.0439651451 1.0428806264 1.0417986271 1.0407191472 19.44 19.98 20.52 21.06 21.6 22.14 22.68 23.22 23.76 24.3 24.84 25.38 25.92 26.46 27 27.54 28.08 28.62 29.16 29.7 30.24 30.78 31.32 31.86 32.4 32.94 33.48 34.02 34.56 35.1 35.64 36.18 36.72 37.26 37.8 38.34 38.88 39.42 39.96 40.5 41.04 41.58 42.12 42.66 43.2 1.6867827 1.6802401 1.6738141 1.6675047 1.661312 1.6552359 1.6492765 1.6434337 1.6377075 1.632098 1.6266051 1.6212289 1.6159693 1.6108263 1.6058 1.6008903 1.5960973 1.5914209 1.5868611 1.582418 1.5780915 1.5738817 1.5697885 1.5658119 1.561952 1.5582087 1.5545821 1.5510721 1.5476787 1.544402 1.5412419 1.5381985 1.5352717 1.5324615 1.529768 1.5271911 1.5247309 1.5223873 1.5201603 1.51805 1.5160563 1.5141793 1.5124189 1.5107751 1.509248 1.9252633 1.9232736 1.9212886 1.9193082 1.9173325 1.9153614 1.9133951 1.9114333 1.9094763 1.9075239 1.9055762 1.9036332 1.9016948 1.8997611 1.897832 1.8959076 1.8939879 1.8920728 1.8901624 1.8882567 1.8863557 1.8844593 1.8825675 1.8806805 1.8787981 1.8769203 1.8750473 1.8731789 1.8713151 1.8694561 1.8676017 1.8657519 1.8639069 1.8620665 1.8602307 1.8583996 1.8565732 1.8547515 1.8529344 1.851122 1.8493143 1.8475112 1.8457128 1.843919 1.8421299 4.554313344 4.536648216 4.519298016 4.502262744 4.4855424 4.469136984 4.453046496 4.437270936 4.421810304 4.4066646 4.391833824 4.377317976 4.363117056 4.349231064 4.33566 4.322403864 4.309462656 4.296836376 4.284525024 4.2725286 4.260847104 4.249480536 4.238428896 4.227692184 4.2172704 4.207163544 4.197371616 4.187894616 4.178732544 4.1698854 4.161353184 4.153135896 4.145233536 4.137646104 4.1303736 4.123416024 4.116773376 4.110445656 4.104432864 4.098735 4.093352064 4.088284056 4.083530976 4.079092824 4.0749696 1.0396421868 1.0385677457 1.0374958241 1.036426422 1.0353595392 1.0342951759 1.033233332 1.0321740075 1.0311172024 1.0300629168 1.0290111506 1.0279619038 1.0269151764 1.0258709685 1.02482928 1.0237901109 1.0227534612 1.021719331 1.0206877202 1.0196586288 1.0186320568 1.0176080043 1.0165864712 1.0155674575 1.0145509632 1.0135369884 1.0125255329 1.0115165969 1.0105101804 1.0095062832 1.0085049055 1.0075060472 1.0065097083 1.0055158888 1.0045245888 1.0035358082 1.002549547 1.0015658052 1.0005845829 0.99960588 0.9986296965 0.9976560324 0.9966848878 0.9957162626 0.9947501568 43.74 44.28 44.82 45.36 45.9 46.44 46.98 47.52 48.06 48.6 49.14 49.68 50.22 50.76 51.3 51.84 52.38 52.92 53.46 54 54.54 55.08 55.62 56.16 56.7 57.24 57.78 58.32 58.86 59.4 59.94 60.48 61.02 61.56 62.1 62.64 63.18 63.72 64.26 64.8 65.34 65.88 66.42 66.96 67.5 1.5078375 1.5065437 1.5053665 1.5043059 1.503362 1.5025347 1.5018241 1.5012301 1.5007527 1.500392 1.5001479 1.5000205 1.5000097 1.5001155 1.500338 1.5006771 1.5011329 1.5017053 1.5023943 1.5032 1.8403455 1.8385657 1.8367907 1.8350202 1.8332545 1.8314934 1.829737 1.8279852 1.8262381 1.8244957 1.8227579 1.8210248 1.8192964 1.8175726 1.8158535 1.8141391 1.8124293 1.8107242 1.8090238 1.807328 1.8056369 1.8039505 1.8022687 1.8005916 1.7989191 1.7972513 1.7955882 1.7939298 1.792276 1.7906269 1.7889824 1.7873426 1.7857075 1.7840771 1.7824513 1.7808302 1.7792137 1.7776019 1.7759948 1.7743923 1.7727945 1.7712014 1.7696129 1.7680291 1.76645 4.071161304 4.067667936 4.064489496 4.061625984 4.0590774 4.056843744 4.054925016 4.053321216 4.052032344 4.0510584 4.050399384 4.050055296 4.050026136 4.050311904 4.0509126 4.051828224 4.053058776 4.054604256 4.056464664 4.05864 0.9937865704 0.9928255035 0.991866956 0.9909109279 0.9899574192 0.98900643 0.9880579601 0.9871120097 0.9861685788 0.9852276672 0.9842892751 0.9833534024 0.9824200491 0.9814892152 0.9805609008 0.9796351058 0.9787118302 0.977791074 0.9768728373 0.97595712 0.9750439221 0.9741332436 0.9732250846 0.972319445 0.9714163248 0.970515724 0.9696176427 0.9687220808 0.9678290383 0.9669385152 0.9660505116 0.9651650273 0.9642820625 0.9634016172 0.9625236912 0.9616482847 0.9607753976 0.9599050299 0.9590371816 0.9581718528 0.9573090434 0.9564487534 0.9555909828 0.9547357317 0.953883 68.04 68.58 69.12 69.66 70.2 70.74 71.28 71.82 72.36 72.9 73.44 73.98 74.52 75.06 75.6 76.14 76.68 77.22 77.76 78.3 78.84 79.38 79.92 80.46 81 81.54 82.08 82.62 83.16 83.7 84.24 84.78 85.32 85.86 86.4 86.94 87.48 88.02 88.56 89.1 89.64 90.18 90.72 91.26 91.8 1.7648755 1.7633057 1.7617406 1.7601801 1.7586243 1.7570732 1.7555267 1.7539849 1.7524478 1.7509153 1.7493875 1.7478643 1.7463458 1.744832 1.7433229 1.7418184 1.7403186 1.7388234 1.7373329 1.7358471 1.734366 1.7328895 1.7314177 1.7299505 1.728488 1.7270302 1.725577 1.7241285 1.7226847 1.7212455 1.719811 1.7183812 1.716956 1.7155355 1.7141197 1.7127085 1.711302 1.7099002 1.708503 1.7071105 1.7057226 1.7043395 1.7029609 1.7015871 1.7002179 0.9530327877 0.9521850948 0.9513399214 0.9504972674 0.9496571328 0.9488195176 0.9479844219 0.9471518456 0.9463217887 0.9454942512 0.9446692332 0.9438467345 0.9430267553 0.9422092956 0.9413943552 0.9405819343 0.9397720328 0.9389646507 0.938159788 0.9373574448 0.936557621 0.9357603166 0.9349655316 0.9341732661 0.93338352 0.9325962933 0.931811586 0.9310293982 0.9302497298 0.9294725808 0.9286979512 0.9279258411 0.9271562504 0.9263891791 0.9256246272 0.9248625948 0.9241030817 0.9233460881 0.922591614 0.9218396592 0.9210902239 0.920343308 0.9195989115 0.9188570344 0.9181176768 92.34 92.88 93.42 93.96 94.5 95.04 95.58 96.12 96.66 97.2 97.74 98.28 98.82 99.36 99.9 100.44 100.98 101.52 102.06 102.6 103.14 103.68 104.22 104.76 105.3 105.84 106.38 106.92 107.46 108 108.54 109.08 109.62 110.16 110.7 111.24 111.78 112.32 112.86 113.4 113.94 114.48 115.02 115.56 116.1 1.6988534 1.6974936 1.6961384 1.6947879 1.693442 1.6921008 1.6907643 1.6894324 1.6881052 1.6867827 1.6854649 1.6841517 1.6828431 1.6815393 1.6802401 1.6789455 1.6776557 1.6763705 1.6750899 1.6738141 1.6725429 1.6712763 1.6700145 1.6687573 1.6675047 1.6662568 1.6650136 1.6637751 1.6625412 1.661312 1.6600875 1.6588676 1.6576524 1.6564418 1.6552359 1.6540347 1.6528381 1.6516463 1.650459 1.6492765 1.6480986 1.6469254 1.6457568 1.6445929 1.6434337 0.9173808386 0.9166465198 0.9159147204 0.9151854405 0.91445868 0.9137344389 0.9130127172 0.912293515 0.9115768322 0.9108626688 0.9101510248 0.9094419003 0.9087352952 0.9080312095 0.9073296432 0.9066305964 0.9059340689 0.9052400609 0.9045485724 0.9038596032 0.9031731535 0.9024892232 0.9018078123 0.9011289208 0.9004525488 0.8997786962 0.899107363 0.8984385492 0.8977722549 0.89710848 0.8964472245 0.8957884884 0.8951322718 0.8944785746 0.8938273968 0.8931787384 0.8925325995 0.89188898 0.8912478799 0.8906092992 0.889973238 0.8893396961 0.8887086737 0.8880801708 0.8874541872 116.64 117.18 117.72 118.26 118.8 119.34 119.88 120.42 120.96 121.5 122.04 122.58 123.12 123.66 124.2 124.74 125.28 125.82 126.36 126.9 127.44 127.98 128.52 129.06 129.6 130.14 130.68 131.22 131.76 132.3 132.84 133.38 133.92 134.46 135 135.54 136.08 136.62 137.16 137.7 138.24 138.78 139.32 139.86 140.4 1.6422791 1.6411292 1.639984 1.6388434 1.6377075 1.6365763 1.6354497 1.6343278 1.6332106 1.632098 1.6309901 1.6298869 1.6287883 1.6276944 1.6266051 1.6255205 1.6244406 1.6233654 1.6222948 1.6212289 1.6201676 1.619111 1.6180591 1.6170119 1.6159693 1.6149314 1.6138981 1.6128695 1.6118456 1.6108263 1.6098117 1.6088018 1.6077965 1.6067959 1.6058 1.6048087 1.6038221 1.6028402 1.6018629 1.6008903 1.5999224 1.5989591 1.5980005 1.5970466 1.5960973 0.8868307231 0.8862097784 0.8855913531 0.8849754472 0.8843620608 0.8837511938 0.8831428462 0.882537018 0.8819337093 0.88133292 0.8807346501 0.8801388996 0.8795456686 0.878954957 0.8783667648 0.877781092 0.8771979387 0.8766173048 0.8760391903 0.8754635952 0.8748905196 0.8743199633 0.8737519265 0.8731864092 0.8726234112 0.8720629327 0.8715049736 0.8709495339 0.8703966136 0.8698462128 0.8692983314 0.8687529694 0.8682101268 0.8676698037 0.867132 0.8665967157 0.8660639508 0.8655337054 0.8650059794 0.8644807728 0.8639580856 0.8634379179 0.8629202696 0.8624051407 0.8618925312 140.94 141.48 142.02 142.56 143.1 143.64 144.18 144.72 145.26 145.8 146.34 146.88 147.42 147.96 148.5 149.04 149.58 150.12 150.66 151.2 151.74 152.28 152.82 153.36 153.9 154.44 154.98 155.52 156.06 156.6 157.14 157.68 158.22 158.76 159.3 159.84 160.38 160.92 161.46 162 162.54 163.08 163.62 164.16 164.7 1.5951527 1.5942127 1.5932774 1.5923468 1.5914209 1.5904996 1.589583 1.588671 1.5877637 1.5868611 1.5859632 1.5850699 1.5841813 1.5832973 1.582418 1.5815434 1.5806734 1.5798081 1.5789475 1.5780915 1.5772402 1.5763936 1.5755516 1.5747143 1.5738817 1.5730537 1.5722304 1.5714118 1.5705978 1.5697885 1.5689838 1.5681839 1.5673885 1.5665979 1.5658119 1.5650306 1.564254 1.563482 1.5627147 1.561952 1.561194 1.5604407 1.559692 1.558948 1.5582087 0.8613824412 0.8608748705 0.8603698193 0.8598672876 0.8593672752 0.8588697823 0.8583748088 0.8578823547 0.85739242 0.8569050048 0.856420109 0.8559377326 0.8554578756 0.8549805381 0.85450572 0.8540334213 0.853563642 0.8530963822 0.8526316418 0.8521694208 0.8517097192 0.8512525371 0.8507978744 0.8503457311 0.8498961072 0.8494490028 0.8490044177 0.8485623521 0.848122806 0.8476857792 0.8472512719 0.846819284 0.8463898155 0.8459628664 0.8455384368 0.8451165266 0.8446971358 0.8442802644 0.8438659125 0.84345408 0.8430447669 0.8426379732 0.842233699 0.8418319442 0.8414327088 165.24 165.78 166.32 166.86 167.4 167.94 168.48 169.02 169.56 170.1 170.64 171.18 171.72 172.26 172.8 173.34 173.88 174.42 174.96 175.5 176.04 176.58 177.12 177.66 178.2 178.74 179.28 179.82 180.36 180.9 181.44 181.98 182.52 183.06 183.6 184.14 184.68 185.22 185.76 186.3 186.84 187.38 187.92 188.46 189 1.5574741 1.5567441 1.5560187 1.5552981 1.5545821 1.5538707 1.5531641 1.5524621 1.5517647 1.5510721 1.5503841 1.5497007 1.5490221 1.5483481 1.5476787 1.547014 1.546354 1.5456987 1.545048 1.544402 1.5437607 1.543124 1.542492 1.5418646 1.5412419 1.5406239 1.5400105 1.5394019 1.5387978 1.5381985 1.5376038 1.5370138 1.5364284 1.5358477 1.5352717 1.5347003 1.5341336 1.5335716 1.5330142 1.5324615 1.5319135 1.5313701 1.5308314 1.5302974 1.529768 0.8410359928 0.8406417963 0.8402501192 0.8398609615 0.8394743232 0.8390902044 0.8387086049 0.8383295249 0.8379529644 0.8375789232 0.8372074015 0.8368383992 0.8364719163 0.8361079528 0.8357465088 0.8353875842 0.835031179 0.8346772932 0.8343259269 0.83397708 0.8336307525 0.8332869444 0.8329456558 0.8326068866 0.8322706368 0.8319369064 0.8316056955 0.831277004 0.8309508319 0.8306271792 0.830306046 0.8299874321 0.8296713377 0.8293577628 0.8290467072 0.8287381711 0.8284321544 0.8281286571 0.8278276792 0.8275292208 0.8272332818 0.8269398622 0.826648962 0.8263605813 0.82607472 189.54 190.08 190.62 191.16 191.7 192.24 192.78 193.32 193.86 194.4 194.94 195.48 196.02 196.56 197.1 197.64 198.18 198.72 199.26 199.8 200.34 200.88 201.42 201.96 202.5 203.04 203.58 204.12 204.66 205.2 205.74 206.28 206.82 207.36 207.9 208.44 208.98 209.52 210.06 210.6 211.14 211.68 212.22 212.76 213.3 1.5292433 1.5287233 1.5282079 1.5276972 1.5271911 1.5266897 1.526193 1.525701 1.5252136 1.5247309 1.5242528 1.5237794 1.5233107 1.5228467 1.5223873 1.5219326 1.5214825 1.5210371 1.5205964 1.5201603 1.5197289 1.5193022 1.5188801 1.5184627 1.51805 1.5176419 1.5172385 1.5168398 1.5164457 1.5160563 1.5156716 1.5152915 1.5149161 1.5145454 1.5141793 1.5138179 1.5134611 1.513109 1.5127616 1.5124189 1.5120808 1.5117474 1.5114186 1.5110945 1.5107751 0.8257913781 0.8255105556 0.8252322526 0.824956469 0.8246832048 0.82441246 0.8241442347 0.8238785288 0.8236153423 0.8233546752 0.8230965276 0.8228408993 0.8225877905 0.8223372012 0.8220891312 0.8218435807 0.8216005496 0.8213600379 0.8211220456 0.8208865728 0.8206536194 0.8204231854 0.8201952708 0.8199698757 0.819747 0.8195266437 0.8193088068 0.8190934894 0.8188806914 0.8186704128 0.8184626536 0.8182574139 0.8180546936 0.8178544927 0.8176568112 0.8174616492 0.8172690065 0.8170788833 0.8168912796 0.8167061952 0.8165236303 0.8163435848 0.8161660587 0.815991052 0.8158185648 213.84 214.38 214.92 215.46 216 216.54 217.08 217.62 218.16 218.7 219.24 219.78 220.32 220.86 221.4 221.94 222.48 223.02 223.56 224.1 224.64 225.18 225.72 226.26 226.8 227.34 227.88 228.42 228.96 229.5 230.04 230.58 231.12 231.66 232.2 232.74 233.28 233.82 234.36 234.9 235.44 235.98 236.52 237.06 237.6 1.5104604 1.5101503 1.5098449 1.5095441 1.509248 1.5089566 1.5086698 1.5083877 1.5081103 1.5078375 1.5075694 1.507306 1.5070472 1.5067931 1.5065437 1.5062989 1.5060588 1.5058234 1.5055926 1.5053665 1.505145 1.5049283 1.5047161 1.5045087 1.5043059 1.5041078 1.5039144 1.5037256 1.5035415 1.503362 1.5031872 1.5030171 1.5028516 1.5026908 1.5025347 1.5023833 1.5022365 1.5020943 1.5019569 1.5018241 1.5016959 1.5015725 1.5014537 1.5013395 1.5012301 0.815648597 0.8154811486 0.8153162196 0.8151538101 0.81499392 0.8148365493 0.814681698 0.8145293662 0.8143795538 0.8142322608 0.8140874872 0.8139452331 0.8138054984 0.8136682831 0.8135335872 0.8134014108 0.8132717537 0.8131446161 0.813019998 0.8128978992 0.8127783199 0.81266126 0.8125467195 0.8124346984 0.8123251968 0.8122182146 0.8121137518 0.8120118084 0.8119123845 0.81181548 0.8117210949 0.8116292292 0.811539883 0.8114530562 0.8113687488 0.8112869608 0.8112076923 0.8111309432 0.8110567135 0.8109850032 0.8109158124 0.8108491409 0.8107849889 0.8107233564 0.8106642432 238.14 238.68 239.22 239.76 240.3 240.84 241.38 241.92 242.46 243 243.54 244.08 244.62 245.16 245.7 246.24 246.78 247.32 247.86 248.4 248.94 249.48 250.02 250.56 251.1 251.64 252.18 252.72 253.26 253.8 254.34 254.88 255.42 255.96 256.5 257.04 257.58 258.12 258.66 259.2 259.74 260.28 260.82 261.36 261.9 1.5011253 1.5010251 1.5009297 1.5008389 1.5007527 1.5006712 1.5005944 1.5005223 1.5004548 1.500392 1.5003339 1.5002804 1.5002316 1.5001874 1.5001479 1.5001131 1.5000829 1.5000575 1.5000366 1.5000205 1.500009 1.5000022 1.5 1.5000025 1.5000097 1.5000215 1.500038 1.5000592 1.500085 1.5001155 1.5001507 1.5001905 1.500235 1.5002842 1.500338 1.5003965 1.5004597 1.5005275 1.5006 1.5006771 1.5007589 1.5008454 1.5009366 1.5010324 1.5011329 0.8106076495 0.8105535752 0.8105020203 0.8104529848 0.8104064688 0.8103624722 0.810320995 0.8102820372 0.8102455989 0.81021168 0.8101802805 0.8101514004 0.8101250398 0.8101011986 0.8100798768 0.8100610744 0.8100447915 0.810031028 0.8100197839 0.8100110592 0.810004854 0.8100011681 0.8100000017 0.8100013548 0.8100052272 0.8100116191 0.8100205304 0.8100319611 0.8100459112 0.8100623808 0.8100813698 0.8101028782 0.810126906 0.8101534533 0.81018252 0.8102141061 0.8102482116 0.8102848366 0.810323981 0.8103656448 0.810409828 0.8104565307 0.8105057528 0.8105574943 0.8106117552 262.44 262.98 263.52 264.06 264.6 265.14 265.68 266.22 266.76 267.3 267.84 268.38 268.92 269.46 270 1.501238 1.5013478 1.5014623 1.5015815 1.5017053 1.5018338 1.5019669 1.5021047 1.5022472 1.5023943 1.5025461 1.5027026 1.5028637 1.5030295 1.5032 0.8106685356 0.8107278353 0.8107896545 0.8108539932 0.8109208512 0.8109902287 0.8110621256 0.8111365419 0.8112134776 0.8112929328 0.8113749074 0.8114594014 0.8115464148 0.8116359477 0.811728 Total cost (in Total cost (in Total cost (in case of 2 case of 100 case of 500 intervals) intervals) intervals) 486.783 451.4199444 447.63396898 Formulas Used Since we have 3 kind of intervals (named as delta x 1,delta x 2,delta x of total delta x = 270-0/intervals size C(x) = 0.000008 x^2 - 0.004 x + 2 ed delta x 1,delta x 2,delta x 1), 3 kinds of x's (named as x1,x2,x3) therefore we calculate 3 kinds of total costs. Total Cost = C(x)*deltax Sheet1 Interval No of intervals 2 x 135 x x f(x) 1 0 135 2 135 135 Total Cost of production Interval 2 1.6058 486.783 No of IntervalsCost 2 486.783 100 447.3613044 500 446.822241 Page 1 No of intervals x x 1 0 2 2.7 3 5.4 4 8.1 5 10.8 6 13.5 7 16.2 8 18.9 9 21.6 10 24.3 11 27 12 29.7 13 32.4 14 35.1 15 37.8 16 40.5 17 43.2 18 45.9 19 48.6 20 51.3 21 54 22 56.7 23 59.4 24 62.1 25 64.8 26 67.5 27 70.2 28 72.9 29 75.6 30 78.3 31 81 32 83.7 33 86.4 34 89.1 35 91.8 36 94.5 37 97.2 38 99.9 39 102.6 40 105.3 41 108 42 110.7 43 113.4 44 116.1 45 118.8 46 121.5 47 124.2 48 126.9 49 129.6 Sheet1 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Page 2 132.3 135 137.7 140.4 143.1 145.8 148.5 151.2 153.9 156.6 159.3 162 164.7 167.4 170.1 172.8 175.5 178.2 180.9 183.6 186.3 189 191.7 194.4 197.1 199.8 202.5 205.2 207.9 210.6 213.3 216 218.7 221.4 224.1 226.8 229.5 232.2 234.9 237.6 240.3 243 245.7 248.4 251.1 253.8 256.5 259.2 261.9 264.6 267.3 Total Cost of production Sheet1 Page 3 Sheet1 Page 4 Sheet1 Page 5 Sheet1 Page 6 Sheet1 Page 7 Sheet1 Page 8 Sheet1 Page 9 Sheet1 Page 10 Sheet1 100 2.7 x f(x) 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2 1.98925832 1.97863328 1.96812488 1.95773312 1.947458 1.93729952 1.92725768 1.91733248 1.90752392 1.897832 1.88825672 1.87879808 1.86945608 1.86023072 1.851122 1.84212992 1.83325448 1.82449568 1.81585352 1.807328 1.79891912 1.79062688 1.78245128 1.77439232 1.76645 1.75862432 1.75091528 1.74332288 1.73584712 1.728488 1.72124552 1.71411968 1.70711048 1.70021792 1.693442 1.68678272 1.68024008 1.67381408 1.66750472 1.661312 1.65523592 1.64927648 1.64343368 1.63770752 1.632098 1.62660512 1.62122888 1.61596928 Interval No of intervals x x x 1 0 2 0.54 3 1.08 4 1.62 5 2.16 6 2.7 7 3.24 8 3.78 9 4.32 10 4.86 11 5.4 12 5.94 13 6.48 14 7.02 15 7.56 16 8.1 17 8.64 18 9.18 19 9.72 20 10.26 21 10.8 22 11.34 23 11.88 24 12.42 25 12.96 26 13.5 27 14.04 28 14.58 29 15.12 30 15.66 31 16.2 32 16.74 33 17.28 34 17.82 35 18.36 36 18.9 37 19.44 38 19.98 39 20.52 40 21.06 41 21.6 42 22.14 43 22.68 44 23.22 45 23.76 46 24.3 47 24.84 48 25.38 49 25.92 Page 11 500 0.54 f(x) 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 2 1.997842333 1.995689331 1.993540995 1.991397325 1.98925832 1.987123981 1.984994307 1.982869299 1.980748957 1.97863328 1.976522269 1.974415923 1.972314243 1.970217229 1.96812488 1.966037197 1.963954179 1.961875827 1.959802141 1.95773312 1.955668765 1.953609075 1.951554051 1.949503693 1.947458 1.945416973 1.943380611 1.941348915 1.939321885 1.93729952 1.935281821 1.933268787 1.931260419 1.929256717 1.92725768 1.925263309 1.923273603 1.921288563 1.919308189 1.91733248 1.915361437 1.913395059 1.911433347 1.909476301 1.90752392 1.905576205 1.903633155 1.901694771 otal Cost of production Sheet1 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 2.7 1.61082632 1.6058 1.60089032 1.59609728 1.59142088 1.58686112 1.582418 1.57809152 1.57388168 1.56978848 1.56581192 1.561952 1.55820872 1.55458208 1.55107208 1.54767872 1.544402 1.54124192 1.53819848 1.53527168 1.53246152 1.529768 1.52719112 1.52473088 1.52238728 1.52016032 1.51805 1.51605632 1.51417928 1.51241888 1.51077512 1.509248 1.50783752 1.50654368 1.50536648 1.50430592 1.503362 1.50253472 1.50182408 1.50123008 1.50075272 1.500392 1.50014792 1.50002048 1.50000968 1.50011552 1.500338 1.50067712 1.50113288 1.50170528 1.50239432 447.3613044 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 Page 12 26.46 27 27.54 28.08 28.62 29.16 29.7 30.24 30.78 31.32 31.86 32.4 32.94 33.48 34.02 34.56 35.1 35.64 36.18 36.72 37.26 37.8 38.34 38.88 39.42 39.96 40.5 41.04 41.58 42.12 42.66 43.2 43.74 44.28 44.82 45.36 45.9 46.44 46.98 47.52 48.06 48.6 49.14 49.68 50.22 50.76 51.3 51.84 52.38 52.92 53.46 54 54.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.899761053 1.897832 1.895907613 1.893987891 1.892072835 1.890162445 1.88825672 1.886355661 1.884459267 1.882567539 1.880680477 1.87879808 1.876920349 1.875047283 1.873178883 1.871315149 1.86945608 1.867601677 1.865751939 1.863906867 1.862066461 1.86023072 1.858399645 1.856573235 1.854751491 1.852934413 1.851122 1.849314253 1.847511171 1.845712755 1.843919005 1.84212992 1.840345501 1.838565747 1.836790659 1.835020237 1.83325448 1.831493389 1.829736963 1.827985203 1.826238109 1.82449568 1.822757917 1.821024819 1.819296387 1.817572621 1.81585352 1.814139085 1.812429315 1.810724211 1.809023773 1.807328 1.805636893 Sheet1 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 Page 13 55.08 55.62 56.16 56.7 57.24 57.78 58.32 58.86 59.4 59.94 60.48 61.02 61.56 62.1 62.64 63.18 63.72 64.26 64.8 65.34 65.88 66.42 66.96 67.5 68.04 68.58 69.12 69.66 70.2 70.74 71.28 71.82 72.36 72.9 73.44 73.98 74.52 75.06 75.6 76.14 76.68 77.22 77.76 78.3 78.84 79.38 79.92 80.46 81 81.54 82.08 82.62 83.16 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.803950451 1.802268675 1.800591565 1.79891912 1.797251341 1.795588227 1.793929779 1.792275997 1.79062688 1.788982429 1.787342643 1.785707523 1.784077069 1.78245128 1.780830157 1.779213699 1.777601907 1.775994781 1.77439232 1.772794525 1.771201395 1.769612931 1.768029133 1.76645 1.764875533 1.763305731 1.761740595 1.760180125 1.75862432 1.757073181 1.755526707 1.753984899 1.752447757 1.75091528 1.749387469 1.747864323 1.746345843 1.744832029 1.74332288 1.741818397 1.740318579 1.738823427 1.737332941 1.73584712 1.734365965 1.732889475 1.731417651 1.729950493 1.728488 1.727030173 1.725577011 1.724128515 1.722684685 Sheet1 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 Page 14 83.7 84.24 84.78 85.32 85.86 86.4 86.94 87.48 88.02 88.56 89.1 89.64 90.18 90.72 91.26 91.8 92.34 92.88 93.42 93.96 94.5 95.04 95.58 96.12 96.66 97.2 97.74 98.28 98.82 99.36 99.9 100.44 100.98 101.52 102.06 102.6 103.14 103.68 104.22 104.76 105.3 105.84 106.38 106.92 107.46 108 108.54 109.08 109.62 110.16 110.7 111.24 111.78 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.72124552 1.719811021 1.718381187 1.716956019 1.715535517 1.71411968 1.712708509 1.711302003 1.709900163 1.708502989 1.70711048 1.705722637 1.704339459 1.702960947 1.701587101 1.70021792 1.698853405 1.697493555 1.696138371 1.694787853 1.693442 1.692100813 1.690764291 1.689432435 1.688105245 1.68678272 1.685464861 1.684151667 1.682843139 1.681539277 1.68024008 1.678945549 1.677655683 1.676370483 1.675089949 1.67381408 1.672542877 1.671276339 1.670014467 1.668757261 1.66750472 1.666256845 1.665013635 1.663775091 1.662541213 1.661312 1.660087453 1.658867571 1.657652355 1.656441805 1.65523592 1.654034701 1.652838147 Sheet1 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 Page 15 112.32 112.86 113.4 113.94 114.48 115.02 115.56 116.1 116.64 117.18 117.72 118.26 118.8 119.34 119.88 120.42 120.96 121.5 122.04 122.58 123.12 123.66 124.2 124.74 125.28 125.82 126.36 126.9 127.44 127.98 128.52 129.06 129.6 130.14 130.68 131.22 131.76 132.3 132.84 133.38 133.92 134.46 135 135.54 136.08 136.62 137.16 137.7 138.24 138.78 139.32 139.86 140.4 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.651646259 1.650459037 1.64927648 1.648098589 1.646925363 1.645756803 1.644592909 1.64343368 1.642279117 1.641129219 1.639983987 1.638843421 1.63770752 1.636576285 1.635449715 1.634327811 1.633210573 1.632098 1.630990093 1.629886851 1.628788275 1.627694365 1.62660512 1.625520541 1.624440627 1.623365379 1.622294797 1.62122888 1.620167629 1.619111043 1.618059123 1.617011869 1.61596928 1.614931357 1.613898099 1.612869507 1.611845581 1.61082632 1.609811725 1.608801795 1.607796531 1.606795933 1.6058 1.604808733 1.603822131 1.602840195 1.601862925 1.60089032 1.599922381 1.598959107 1.598000499 1.597046557 1.59609728 Sheet1 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 Page 16 140.94 141.48 142.02 142.56 143.1 143.64 144.18 144.72 145.26 145.8 146.34 146.88 147.42 147.96 148.5 149.04 149.58 150.12 150.66 151.2 151.74 152.28 152.82 153.36 153.9 154.44 154.98 155.52 156.06 156.6 157.14 157.68 158.22 158.76 159.3 159.84 160.38 160.92 161.46 162 162.54 163.08 163.62 164.16 164.7 165.24 165.78 166.32 166.86 167.4 167.94 168.48 169.02 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.595152669 1.594212723 1.593277443 1.592346829 1.59142088 1.590499597 1.589582979 1.588671027 1.587763741 1.58686112 1.585963165 1.585069875 1.584181251 1.583297293 1.582418 1.581543373 1.580673411 1.579808115 1.578947485 1.57809152 1.577240221 1.576393587 1.575551619 1.574714317 1.57388168 1.573053709 1.572230403 1.571411763 1.570597789 1.56978848 1.568983837 1.568183859 1.567388547 1.566597901 1.56581192 1.565030605 1.564253955 1.563481971 1.562714653 1.561952 1.561194013 1.560440691 1.559692035 1.558948045 1.55820872 1.557474061 1.556744067 1.556018739 1.555298077 1.55458208 1.553870749 1.553164083 1.552462083 Sheet1 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 Page 17 169.56 170.1 170.64 171.18 171.72 172.26 172.8 173.34 173.88 174.42 174.96 175.5 176.04 176.58 177.12 177.66 178.2 178.74 179.28 179.82 180.36 180.9 181.44 181.98 182.52 183.06 183.6 184.14 184.68 185.22 185.76 186.3 186.84 187.38 187.92 188.46 189 189.54 190.08 190.62 191.16 191.7 192.24 192.78 193.32 193.86 194.4 194.94 195.48 196.02 196.56 197.1 197.64 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.551764749 1.55107208 1.550384077 1.549700739 1.549022067 1.548348061 1.54767872 1.547014045 1.546354035 1.545698691 1.545048013 1.544402 1.543760653 1.543123971 1.542491955 1.541864605 1.54124192 1.540623901 1.540010547 1.539401859 1.538797837 1.53819848 1.537603789 1.537013763 1.536428403 1.535847709 1.53527168 1.534700317 1.534133619 1.533571587 1.533014221 1.53246152 1.531913485 1.531370115 1.530831411 1.530297373 1.529768 1.529243293 1.528723251 1.528207875 1.527697165 1.52719112 1.526689741 1.526193027 1.525700979 1.525213597 1.52473088 1.524252829 1.523779443 1.523310723 1.522846669 1.52238728 1.521932557 Sheet1 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 Page 18 198.18 198.72 199.26 199.8 200.34 200.88 201.42 201.96 202.5 203.04 203.58 204.12 204.66 205.2 205.74 206.28 206.82 207.36 207.9 208.44 208.98 209.52 210.06 210.6 211.14 211.68 212.22 212.76 213.3 213.84 214.38 214.92 215.46 216 216.54 217.08 217.62 218.16 218.7 219.24 219.78 220.32 220.86 221.4 221.94 222.48 223.02 223.56 224.1 224.64 225.18 225.72 226.26 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.521482499 1.521037107 1.520596381 1.52016032 1.519728925 1.519302195 1.518880131 1.518462733 1.51805 1.517641933 1.517238531 1.516839795 1.516445725 1.51605632 1.515671581 1.515291507 1.514916099 1.514545357 1.51417928 1.513817869 1.513461123 1.513109043 1.512761629 1.51241888 1.512080797 1.511747379 1.511418627 1.511094541 1.51077512 1.510460365 1.510150275 1.509844851 1.509544093 1.509248 1.508956573 1.508669811 1.508387715 1.508110285 1.50783752 1.507569421 1.507305987 1.507047219 1.506793117 1.50654368 1.506298909 1.506058803 1.505823363 1.505592589 1.50536648 1.505145037 1.504928259 1.504716147 1.504508701 Sheet1 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 Page 19 226.8 227.34 227.88 228.42 228.96 229.5 230.04 230.58 231.12 231.66 232.2 232.74 233.28 233.82 234.36 234.9 235.44 235.98 236.52 237.06 237.6 238.14 238.68 239.22 239.76 240.3 240.84 241.38 241.92 242.46 243 243.54 244.08 244.62 245.16 245.7 246.24 246.78 247.32 247.86 248.4 248.94 249.48 250.02 250.56 251.1 251.64 252.18 252.72 253.26 253.8 254.34 254.88 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.50430592 1.504107805 1.503914355 1.503725571 1.503541453 1.503362 1.503187213 1.503017091 1.502851635 1.502690845 1.50253472 1.502383261 1.502236467 1.502094339 1.501956877 1.50182408 1.501695949 1.501572483 1.501453683 1.501339549 1.50123008 1.501125277 1.501025139 1.500929667 1.500838861 1.50075272 1.500671245 1.500594435 1.500522291 1.500454813 1.500392 1.500333853 1.500280371 1.500231555 1.500187405 1.50014792 1.500113101 1.500082947 1.500057459 1.500036637 1.50002048 1.500008989 1.500002163 1.500000003 1.500002509 1.50000968 1.500021517 1.500038019 1.500059187 1.500085021 1.50011552 1.500150685 1.500190515 Sheet1 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 255.42 0.54 255.96 0.54 256.5 0.54 257.04 0.54 257.58 0.54 258.12 0.54 258.66 0.54 259.2 0.54 259.74 0.54 260.28 0.54 260.82 0.54 261.36 0.54 261.9 0.54 262.44 0.54 262.98 0.54 263.52 0.54 264.06 0.54 264.6 0.54 265.14 0.54 265.68 0.54 266.22 0.54 266.76 0.54 267.3 0.54 267.84 0.54 268.38 0.54 268.92 0.54 269.46 0.54 Total Cost of production Page 20 1.500235011 1.500284173 1.500338 1.500396493 1.500459651 1.500527475 1.500599965 1.50067712 1.500758941 1.500845427 1.500936579 1.501032397 1.50113288 1.501238029 1.501347843 1.501462323 1.501581469 1.50170528 1.501833757 1.501966899 1.502104707 1.502247181 1.50239432 1.502546125 1.502702595 1.502863731 1.503029533 446.822241 / WolframIAlpha Wk X \\@ La] 6 C' l G) www.wolframalpha.com/widgets/view.jsp?id=8ab?0731b1553f1?c'i1a3bbc87e0b605 1} l 6 55! Apps (g) Optimize health. <29 improve health, health care - co: balsamiq d mobius * hdvidmusic 0.000003%): 0.004): + 2 x =0 io denite imegra]: 10 f {8.x 10-6 xx 0.004\" 2) dx =446.688 need a step by slep solution [at [his pmhlem?>> Visual represenlaon 01 the irma-gral: E} 100 ISO 200 250 300 Indenite integral: 4