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Wendell's Donut Shoppe is investigating the purchase of an $34,600 donut-making machine with a six-year useful life. The new machine would reduce labor costs
Wendell's Donut Shoppe is investigating the purchase of an $34,600 donut-making machine with a six-year useful life. The new machine would reduce labor costs by $6,500 per year. In addition, it would allow the company to produce one new style of donut, resulting in the sale of 2,500 dozen more donuts each year. The company realizes a contribution margin of $1.60 per dozen donuts sold. Click here to view Exhibit 148-1 and Exhibit 148-2, to determine the appropriate discount factor(s) using tables. Required: 1. What are the new machine's total annual cash inflows? 2. What discount factor should be used to compute the new machine's internal rate of return? Note: Round your answer to 3 decimal places. 3. What is the new machine's internal rate of return? Note: Round your final answer to the nearest whole percentage. 4. In addition to the data given previously, assume the machine will have a $13,755 salvage value at the end of six years. Under these conditions, what is the internal rate of return? (Hint: You may find it helpful to use the net present value approach; find the discount rate that will cause the net present value to be closest to zero.) Note: Round your final answer to the nearest whole percentage. 1. Annual cash inflows 2. Discount factor 3, Internal rate of return 4. Internal rate of return 10,500 % % EXHIBIT 148-1 Present Value of $1;- 1 (1+r) Periods 4% 596 6% 7% 8% 9% 10% 11% 13% 14% 15% 1 0962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 2 0.925 0.907 3 4 0.889 0.855 0.823 0.864 0.890 0.840 0.816 0.873 0.857 0.842 0.826 0.812 0,794 0.772 0.751 0.731 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 12% 17% 18% 19% 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.718 0.797 0.783 0.769 0.756 0,743 0.731 0.624 0.609 0.712 0.693 0.675 0.658 0.641 0.552 0.534 0.516 0.572 16% 20% 21% 22% 23% 24% 25% 0.840 0.833 0.826 0.820 0.813 0.806 0.800 0.706 0.694 0.683 0.672 0.661 0.650 0.640 5 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437. 6 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0507 0.480 0.456 0.432 0.410 7 0.760 0.711 8 0.731 9 0,703 10 0.676 11 0650 0.585 12 0.625 13 0.601 0557 0.530 14 0377 15 0.555 0.451 0417 0.362 0.665 0.623 0.583 0.677 0.627 0.582 0.645 0.592 0.544 0.508 0.614 0.558 0.527 0475 0.497 0.444 0.397 0.469 0415 0.368 0.388 0.505 0.442 0.340 0.315 0275 0.547 0.513 0.482 0.452 0425 0.400 0.540 0.502 0.467 0.434 0.404 0.376 0.376 0327 0.500 0.460 0.424 0.391 0.463 0.422 0.386 0.352 0.429 0.388 0.350 0317 0.361 0.333 0.322 0.295 0.287 0.261 0.237 0.356 0.319 0.326 0.290 0.299 0.286 0.257 0.231 0.208 0.258 0.229 0.204 0.152 0.163 0.390 0.370 0.333 0.314 0.354 0.351 0.285 0.266 0.305 0.284 0.263 0.243 0.225 0.308 0.227 0.208 0.191 0.270 0.247 0.178 0.162 0.215 0.195 0.168 0.152 0.137 0187 0.145 0.130 0.116 0.579 0.564 0.593 0.482 0.467 0.499 0.451 0.386 0.370 0.419 0.355 0.402 0.319 0.303 0.289 0.352 0.335 0.279 0.263 0.249 0.296 0.218 0.204 0.249 0.233 0.194 0.180 0167 0.209 0.162 0.149 0.176 0.137 0.148 0.112 0.135 0.123 0.092 0.124 0.112 0.102 0.075 0.104 0.093 0.084 0.551 0.537 0.524 0.512 0437 0423 0.410 0.341 0.328 0.275 0.262 0.235 0.222 0.210 0.168 0.191 0.179 0.155 0.144 0.134 0.126 0.116 0.107 0.103 0.094 0.083 0.076 0.069 0.086 0.068 0.061 0.055 0.263 0.212 0.205 0.181 0.160 0.141 0.125 0.111 0099 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 0045 0.040 0.035 16 0.534 0.458 0.394 0.339 0.292 0.252 17 0513 18 0494 19 0475 20 0456 21 0.439 22 0.422 23 0.406 24 0.390 0.310 0.247 0.197 25 0.375 0.295 26 0.361 27 0347 28 29 30 40 0.188 0.163 0.141 0.170 0436 0.371 0.317 0.146 0.125 0.270 0.231 0.153 0.130 0.111 0416 0.350 0.296 0.250 0.212 0.180 0138 0.277 0.212 0.194 0.164 0.116 0.098 0.396 0.331 0.087 0.124 0.104 0.149 0215 0.178 0.377 0.312 0.258 0.093 0.077 0.359 0.294 0.242 0.135 0.199 0.112 0.164 0.083 0.068 0.101 0.150 0.123 0.342 0.27 0.226 0.184 0.074 0.060 0.112 0.091 0.170 0.138 0.326 0.262 0.211 0.052 0.066 0.053 0.158 0.126 0.102 0.092 0.059 0.047 0.233 0.184 0.146 0.074 0.116 0.053 0.042 0.106 0.084 0.066 0.281 0.220 0.172 0.135 0.125 0.098 0.268 0.076 0.060 0.047 0.037 0.207 0.161 0.150 0.116 0.090 0.069 0.333 0.255 0.196 0.082 0.063 0.321 0.243 0.141 0.185 0.107 0.044 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.218 0.123 0.107 0.093 0.081 0.071 0.198 0.108 0.093 0.080 0.069 0.060 0.095 0.081 0.069 0.059 0.051 0.083 0.070 0.060 0.051 0027 0.022 0.023 0.019 0.015 0.062 0.054 0.047 0.052 0.045 0.039 0.034 0.030 0.026 0.028 0.044 0.018 0.038 0.032 0.024 0.021 0023 0.043 0.037 0.031 0.027 0.020 0.017 0.014 0.073 0.061 0.051 0.014 0.043 0.037 0.031 0.026 0.022 0.019 2016 0.064 0.031 0.053 0.044 0.037 0.018 0.011 0.009 0.026 0.022 0.015 0.013 0.032 0.056 0.046 0.038 0.026 0.022 0.018 0.013 0.011 0.009 0.015 0.049 0.040 0.033 0.012 0.010 0.009 0.043 0.035 0.028 0.042 0.036 0.032 0.028 0.023 0.012 0.007 0.018 0.015 0.007 0.006 0.013 0.010 0.008 0.007 0.006 0.005 0.030 0.024 0.038 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 0.033 0.020 0.021 0.017 0.014 0.011 0.009 0.007 0.006 0.004 0.005 0.003 0.029 0.023 0.018 0.014 0.007 0.054 0042 0.033 0.026 0.020 0.016 0.006 0.048 0.037 0.029 0.022 0.035 0.026 0.020 0.015 0.011 0.008 0.005 0.004 0.017 0.014 0.012 0.003 0.011 0.009 0.012 0.010 0.008 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0002 0.002 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.005 0.004 0.006 0.004 0.005 0.003 0.003 0.002 0.002 0.002 0.001 0.000 EXHIBIT 14B-2 Present Value of an Annuity of $1 in Arrears, 1 Periods 4% 0.962 2 3 2.775 2.723 4 3.630 3.546 5% 6% 0.952 0.943 1.886 1.859 1.833 2.673 3.465 5 6 7 5.242 5,076 4917 4.767 6.002 5.7861 5.582 5.389 4.623 5.206 8 6.733 9 7,435 10 11 12 6.463 6.210 7.108 6.802 8.111 7.722 7.360 8.760 8.306 7.887 9.385 8.863 8.384 13 14 15 16 17 5.971 5.747 6.515 6.247 7.024 6.710 7.499 7.139 7.943 7.536 7.161 9.986 9.394 8.853 8.358 7.904 7.487 10.563 9.899 9.295 8.745 8.244 7.786 11.118 10.380 9.712 9.108 8.559 8.061 11.652 10.838 10.106 9.447 8.851 8.313 12.166 11.274 10.477 9.763 9.122 8.544 18 8.756 19 8.950 20 21 22 8.772 23 24 25 26 27 28 29 30 40 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 18% 19% 20% 21% 22% 23% 24% 25% 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1509 1492 1.474 1457 1440 2.624 2.577 2.531 2487 2.444 2.402 2.361 2.322 2.283 2.246 2210 2.174 2.140 2.106 2.074 2.042 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 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 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 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 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 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 6418 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 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 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 7.103 6.750 6424 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 5475 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 8.201 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 8.365 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 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 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 14.451 13.163 12.042 11.061 10.201 9.442 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 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 5.432 5.167 4.925 4.703 4.499 4.311 4,137 3.976 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7,784 7.283 6835 6434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4.318 4.143 3.981 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 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 5.450 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 4332 4.154 3.990 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 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 6983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 17.292 15.372 13.765 12.409 11.258 10.274 9427 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 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.233 5.8711 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999 17% 0.855 2011 1981 1952 2.448 2.404 2.362 2.803 2.745 2.689 3.092 3.020 2.951
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