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I'm not sure we should lay out $320,000 for that automated welding machine, said Jim Alder, president of the Superior Equipment Company. It would
"I'm not sure we should lay out $320,000 for that automated welding machine," said Jim Alder, president of the Superior Equipment Company. "It would cost us $88,000 for software and installation, and another $52,800 per year just to maintain. In addition, the manufacturer admits it would cost $51,000 more at the end of three years to replace worn-out parts. "I admit it's a lot of money," said Franci Rogers, the controller. But you know the turnover problem we've had with the welding crew. This machine would replace six welders at a cost savings of $118,000 per year. And we would save another $7,900 per year in reduced material waste. When you figure the automated welder would last six years, I'm sure the return would be greater than our 15% required rate of return." "I'm still not convinced," countered Mr. Alder. "We can only get $19,000 scrap value for our old welding equipment if we sell it now, and in six years the new machine will only be worth $34,000 for parts." Click here to view Exhibit 14B-1 and Exhibit 14B-2, to determine the appropriate discount factor(s) using tables. Required: 1. Compute the annual net cost savings promised by the automated welding machine. 2a. Using the data from Required 1 and other data from the problem, compute the automated welding machine's net present value. 2b. Would you recommend purchasing the automated welding machine? 3. Assume management can identify several intangible benefits associated with the automated welding machine, including greater flexibility in shifting from one type of product to another, improved quality of output, and faster delivery as a result of reduced throughput time. What minimum dollar value per year would management have to attach to these intangible benefits to make the new welding machine an acceptable investment? Periods 4% 1 2 3 4 0.855 5% 6% 7% 0.962 0.952 0.943 0.935 0.925 0.907 0.890 0.873 0.889 0.864 0.840 0.816 0.823 0.792 0.763 0.822 0.784 0.747 0.713 6 7 8 9 0.703 0.645 10 0.676 0.614 11 12 0.625 0.557 0.497 0.444 0.397 0.356 13 0.601 0.530 0.469 0.415 14 0.577 0.505 0.442 0.388 15 0.555 0.481 16 17 18 19 0.326 0.340 0.299 0.417 0.362 0.315 0.275 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.368 20 21 0.439 0.359 0.294 22 0.422 0.342 0.278 23 0.406 24 0.390 0.310 0.247 25 0.375 0.295 0.233 26 0.361 0.281 0.220 0.197 0.184 0.172 27 0.347 28 29 0.333 0.321 30 40 0.308 0.231 0.174 0.131 0.208 0.142 0.097 0.067 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.683 0.672 0.661 0.650 0.640 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 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.482 0.467 0.451 0.437 0.423 0.410 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 0.731 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 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 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 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.069 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044 0.239 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035 0.188 0.163 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 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023 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 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014 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 0.016 0.014 0.012 0.242 0.199 0.164 0.135 0.112 0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009 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 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 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 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 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 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 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 14B-2 Present Value of an Annuity of $1 in Arrears; 1 - 1 1 r (1+r)" Periods 4% 1 2 3 5% 6% 7% 0.962 0.952 0.943 0.935 1.886 1.859 2.775 2.723 8% 9% 0.926 1.833 1.808 1.783 2.673 2.624 2.577 0.917 1.759 2.531 4 3.630 3.546 5 4.452 4.329 4.212 4.100 6 5.242 5.076 4.917 7 6.002 5.786 6.733 5.582 6.463 6.210 9 7.435 10 8.111 11 8.760 4.767 5.389 5.971 7.108 6.802 6.515 7.722 7.360 7.024 8.306 3.465 3.387 3.312 3.240 3.993 3.890 4.623 4.486 5.206 5.033 5.747 5.535 6.247 5.995 5.146 5.537 6.710 7.887 7.499 7.139 6.418 6.145 5.889 6.805 6.495 6.207 12 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.492 13 9.986 9.394 8.853 8.358 7.904 7.487 7.103 14 10.563 9.899 9.295 8.745 8.244 7.786 15 11.118 10.380 9.712 9.108 8.559 8.061 16 11.652 10.838 10.106 9.447 8.851 8.313 17 12.166 11.274 10.477 9.763 9.122 8.544 18 12.659 11.690 10.828 10.059 9.372 8.756 8.201 19 13.134 12.085 11.158 10.336 9.604 8.950 20 13.590 12.462 11.470 10.594 9.818 9.129 8.365 8.514 21 22 14.029 12.821 11.764 10.836 10.017 9.292 14.451 13.163 12.042 11.061 10.201 9.442 23 24 14.857 13.489 12.303 11.272 10.371 9.580 15.247 13.799 12.550 11.469 10.529 9.707 8.985 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 26 15.983 14.375 13.003 11.826 10.810 9.929 9.161 27 28 29 30 40 16.330 14.643 13.211 11.987 10.935 10.027 9.237 16.663 14.898 13.406 12.137 11.051 10.116 9.307 16.984 15.141 13.591 12.278 11.158 10.198 9.370 17.292 15.372 13.765 12.409 11.258 10.274 9.427 19.793 17.159 15.046| 13.332 11.925 10.757 9.779 8.602 8.650 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 1.440 2.487 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 3.170 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 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 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 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 5.335 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 5.759 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 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 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 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 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.533 4.362 4.203 4.053 3.912 3.780 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 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 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 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 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 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942 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 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 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 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 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 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 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 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 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 8.951 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 Required 1 Required 2A Required 2B Required 3 Compute the annual net cost savings promised by the automated welding machine. Annual net cost savings Required 1 Required 2A Required 2B Required 3 Using the data from Required 1 and other data from the problem, compute the automated welding machine's net present value. Note: Enter negative amount with a minus sign. Round your final answer to the nearest whole dollar amount. Net present value Required 1 Required 2A Required 2B Required 3 Would you recommend purchasing the automated welding machine? Required 1 Required 2A Required 2B Required 3 Assume management can identify several intangible benefits associated with the automated welding machine, including greater flexibility in shifting from one type of product to another, improved quality of output, and faster delivery as a result of reduced throughput time. What minimum dollar value per year would management have to attach to these intangible benefits to make the new welding machine an acceptable investment? Note: Round your final answer to the nearest whole dollar amount. Minimum dollar value of intangible benefits Show less
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