Question: Matheson Electronics has just developed a new electronic device that it believes will have broad market appeal. The company has performed marketing and cost studies

Matheson Electronics has just developed a new electronic device that it believes will have broad market appeal. The company has performed marketing and cost studies that revealed the following information:

  1. New equipment would have to be acquired to produce the device. The equipment would cost $198,000 and have a six-year useful life. After six years, it would have a salvage value of about $24,000.
  2. Sales in units over the next six years are projected to be as follows:
Year Sales in Units
1 10,000
2 15,000
3 17,000
46 19,000
  1. Production and sales of the device would require working capital of $52,000 to finance accounts receivable, inventories, and day-to-day cash needs. This working capital would be released at the end of the projects life.
  2. The devices would sell for $50 each; variable costs for production, administration, and sales would be $35 per unit.
  3. Fixed costs for salaries, maintenance, property taxes, insurance, and straight-line depreciation on the equipment would total $140,000 per year. (Depreciation is based on cost less salvage value.)
  4. To gain rapid entry into the market, the company would have to advertise heavily. The advertising costs would be:
Year Amount of Yearly Advertising
12 $ 55,000
3 $ 61,000
46 $ 51,000
  1. The companys required rate of return is 12%.

Here are Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables:

Matheson Electronics has just developed a new electronic device that it believes

will have broad market appeal. The company has performed marketing and cost

Required:

1. Compute the net cash inflow (incremental contribution margin minus incremental fixed expenses) anticipated from sale of the device for each year over the next six years.

2-a. Using the data computed in (1) above and other data provided in the problem, determine the net present value of the proposed investment.

2-b. Would you recommend that Matheson accept the device as a new product?

EXHIBIT 13B-1 23 962 0.952 0.943 0.935 0.926 0.917 0.909 0.9 893 0.885 0.877 0.870 0.862 0.855 0.847 0 0.833 0.826 0.820 907 0.890 0.873 0.857 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 499 0.482 0.467 0.451 0.437 0.423 0.410 855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 636 0.613 0.592 0.572 0.552 0.534 0.516 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.51 76 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.3 790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 10 0.390 0.370 0.352 0.335 0 0.303 0.289 0.275 0 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 0.249 0.233 0.218 0.204 0.191 0.179 0.168 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 52 0.425 0.400 0.376 0.354 0 677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0 460 0.424 0.391 0.361 0.333 0 45 0.592 0.544 0.50 50 0.585 0.527 0.475 0.429 0.388 0.350 0 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.14 12 0.103 0.094 0.08 92 0.083 0.076 0.06 625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.2 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.16 168 0.152 0.137 0.124 0.112 0.102 145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 14 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 183 0.160 0.140 0.123 0.108 0.095 0.084 078 0.069 0.062 17 0.362 0.315 0.275 0.239 0.209 065 0.057 0.051 0.045 0.040 0.035 163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 052 0.045 0.039 0.034 0.030 0.026 0.023 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 0.394 0.339 0.292 0.252 0.218 0.1 13 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0.277 0.232 0.194 0.164 0.138 0.116 0.098 o.083 0.070 0.060 0.051 0.043 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 o.016 0.014 0.012 031 003, 032 03 0.022 0.018 0.015 0.013 0.011 0.009 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007 009 0.007 0.006 O.082 O.066 O.O53 O.O43 O.035 O.O28 0.023 0.019 0.015 0.0 13 0.O 10 O.008 O.007 O.006 O.OO5 13 0.010 0.009 0.007 0.006 0.005 0.004 0.093 0.077 0.064 0.053 0.044 0.037 0.031 22 23 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.0 0.390 0.310 0.247 0.197 0.158 0.126 01 0.375 0.295 0.233 0.184 0.146 074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 116 0.092 0.074 0.059 0.047 0.03 030 0.024 0.020 0 0.006 0.005 0.004 0.003 27 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 0.002 0.135 0.106 0.084 0.066 0.053 0.033 0.026 0.021 0.017 0.014 0.011 0.009 333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.02 020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.243 0.185 0.141 0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.0 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 EXHIBIT 13B-2 Present Value of an Annuity of $1 in Arrears: 1+ Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.8550.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 1.440 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 2 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1. 3 4 5 6 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 8 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329 9 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 10 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.439 4.278 4.127 3.985 3.851 3.725 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.7 15 4.533 4.362 4.203 4.053 3.912 3.780 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 11.118 10.380 9.712 9.108 8.559 8.061 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 14 15 16 17 18 19 20 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 6.938 6.550 6.198 5877 5.584 5316 5.07O 4.843 4635 4412 42634097 3942 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 21 14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 22 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 23 14.857 13.489 12.303 11.272 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5432 si67 4925 4703 499 43m1373.9G 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6073 5.746 5451 5.1824.937 4713 450743184143 3931 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 26 27 28 29 30 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 16.330 14.643 13.211 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 7.984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 4.534 4.339 4.160 3.995 051 10.116 9.30 16.663 14.898 13.406 12.137 292 65 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 40 19.793 17.159 46 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.23 71 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999

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