Problem 18-10 (Algo) Two operators handle adjustments for a group of 10 machines. Adjustment time is exponentially distributed and has a mean of 16 minutes per machine. The machines operate for an average of 84 minutes between adjustments. While running, each machine can turn out 54 pieces per hour. Use Table 1. Table 2 and Table 3. a. Find the probability that a machine will have to wait for an adjustment. (Round your answer to 3 decimal places.) Probability b. Find the average number of machines walting for adjustment (Round your answer to 2 decimal places.) Average number of machines waiting machines c. Find the average number of machines being serviced. (Round your answer to 2 decimal places.) c. Find the average number of machines being serviced. (Round your answer to 2 decimal places.) Average number of machines machines d. The expected hourly output of each machine, taking adjustments into account (Round your answer to 2 decimal places.) Expected hourly output pieces e. Machine downtime represents a cost of $68 per hour operator cost (including salary and fringe benefits) is $15 per hour. What is the optimum number of operators? 1 operator 2 operators marks Window Help erta-ct-media.meducation.com ery F PACE in Bome XMOIM DEMOKYMO TABLET Thigate 1 + 41 1 1 MacBook Air . $ 4 % 5 IN & 7 00+ 6 8 9 E R T Y U 1 o D F G G H J K C V B N M 1 - - 2 1 3 2 , 1 3 2 1 3 019 3 907 702 066 2 995 470 900 4 656 871068 3 957 566 2 998 .444 950 4 815 838 070 3 989 631 Population 10 016 1 144 997 075 1 170 996 021 1 188 995 023 1 206 994.080 025 1 224 993 028 232 992 028 250 991085 268 990 032 2 3 999 1 285 988 090 034 2 999 301 986 036 2 041 999 095 1 320 984 038 2 999 1 337 382 .100 040 2 999 1 354 980 TA2 2 055 999 105 1 371 978 44 2 080 998 1 388975 -110 046 2 THE 998 1 404 973 048 2 071 998 115 1 421 370 050 2 .076 396 1 437 967 .120 052 2 997 1 454 563 054 2 089 997 1 470 560 125 056 2 054 997 1 23 956 2 1 353 130 000 2 106 1 57 945 F 2 113 996 1 345 135 054 2 119 95 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 .126 1 907 699 4 124 990 962 $36.140 4 078 999 3 366.954 020 999 3 132991 2 .761 815 .133 2 137 947 1 993453 577 1 919 680 230 5 037 998 .022 999.145 4 032 999 4 .142958 140 3 990 3 400 947 591 926 2 480941 2 791 794 026 1 929662 1 995 434 158 992 .150 4 036998240 5 044 997 627 913 .156 989 4 .162996 031 999 2 483936 3 434 938 .177 990 1 339 644 2 819 774 .860 899.155 4 040998 1 996 416 007 999 3 .169.987.250 6 010 999 195 588 2 505928 5 052 997 892883 1 627 4 .183 983 043 998.160 4 044 998 3 469 929 216 996 3 .182 986 2 844 753 722 867 2 528 921 1 997 400 049 998 1 954 610260 013989 237 9841654 149 997 5 080 996 .750 850 3 195 984 4 205 980 056 998 2 590 914 3 503 919 258 981 1 961 594 2 856 732 776 832 170 4 054 997 1 998 384 084 997 3 209 982 270 6 015 999 279 978 571 306 5 070 985 AUT 814 1 986 579 4 228 975 072 997 180 013999 3 537 908 301 $74 086 956 2 7 822 795 238978 1 999 370 081 996 2 514 590 280 6 018998 324 571 1 975 009 343 776 190 5 015999 4 252972 1999 5 078 985 3 571 090 995 3 2 346 967 1 999 357 756 1 522 290 022 999 019 999 200 020 999 5 100 994 4 032 994 4 27860 389 562 3 300 53 3 :44 578737 2 692854 2 918 672 022 999 1 567 497 1 999 345 .110 994210 035 900 3.0 026988 390 958 4 105 91 ANG 718 3 4 304 363 999 2 7. 3 535 872 121 1 -474 050 3 2 1 1 3 2 1 4 016 3 2 1 4 3 2 1 100 501 4 2 1 4 3 D F X M D F X M D FX MDF 300 400 GON to 310 6 5 4 3 2 7 6 5 3 2 8 7 6 5 1420 320 341 4 997 440 2 1 6 5 4 3 2 6 5 4 3 2 6 5 4 3 2 7 6 5 4 3 2 7 6 5 4 Un on Na 3 2 7 6 5 4 330 4 3 2 8 7 6 5 4 3 8 7 340 932 693 999 3