Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Wendell's Donut Shoppe is investigating the purchase of an $37,700 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 $37,700 donut-making machine with a six-year useful life. The new machine would reduce labor costs by $6,600 per year. In addition, it would allow the company to produce one new style of donut, resulting in the sale of 1,500 dozen more donuts each year. The company realizes a contribution margin of $2.00 per dozen donuts sold. Click here to view Exhibit 14B-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 $14,130 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 % EXHIBIT 14B-1 Present Value of $1; 1 ((1+r))" Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 1 0.962 0.952 0.943 0.901 0.893 0.885 2 3 0.889 0.925 0.907 0.864 0.693 4 0.855 0.823 5 0.822 6 0.681 0.630 0.596 0.683 0.650 0.621 0.564 7 0.623 0.583 0.547 0.513 0482 8 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0,434 9 0.703 0.645 0.592 0544 0.500 10 0.676 0.614 0.558 0.508 0.463 11 0.650 0.585 0.527 0.475 0.429 12 0.625 0.557 0.497 13 0.601 0.530 14 0.577 0.505 0.160 15 0.555 0.481 16 0.534 0.458 0.394 0.123 17 0513 0436 0.371 0.108 18 0494 0416 0.095 19 0475 0.396 20 21 22 23 0406 0.326 0.262 24 0.390 0310 0.247 0.197 25 0.375 0.295 0.233 0.184 26 27 28 0.333 29 0.347 0.268 0.207 0.255 0.196 0.321 0.243 0.185 24% 21% 22% 19% 23% 20% 18% 17% 14% 16% 15% 0.820 0.813 0.806 0. 0.840 0.833 0.826 0.917 0.909 0.855 0.847 0.877 0.870 0.862 0.935 0.926 0.683 0.672 0.650 0.731 0.718 0.706 0.694 0.661 0 0.890 0.873 0.857. 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.564 0.551 0.537 0.524 0- 0.794 0.731 0.712 0.772 0.751 0.675 0.658 0.641 0.840 0.816 0.624 0.609 0.593 0.579 0.467 0437 0.451 0423 0 0.572 0.552 0.534 0.516 0.499 0.482 0.592 0.659 0.636 0.613 0.792 0.763 0.735 0.708 0.370 0.386 0.355 0.341 0419 0.402 0. 0.543 0.519 0.713 0476 0.456 0437 0.497 0.784 0.747 0.593 0.567 0.319 0.303 0.289 0.275 03 0.790 0.746 0.705 0.666 0370 0.352 0.335 0.535 0.507 0.410 0.390 0.480 0.456 0.432 0.249 0.263 0314 0.296 0.279 0.760 0.711 0.665 0452 0.425 0.400 0.376 0.351 0.327 0.249 0.233 0.218 0.204 0404 0.376 0.460 0424 0.391 0.361 0.333 0.308 0.209 0.194 0.180 0.284 0.176 0.162 0.149 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.123 0.350 0.237 0.215 0.317 0.388 0.287 0.261 0.208 0.187 0.397 0.356 0.319 0.286 0.257 0.231 0444 0469 0415 0.368 0.290 0.258 0.229 0.204 0.326 0.125 0.111 0.181 0.340 0.299 0.263 0.232 0.205 0.442 0.388 0.095 0417 0.362 0315 0.275 0.239 0.209 0.183 0.160 0.163 0.141 0081 0.339 0.292 0252 0.218 0.188 0.042 0.071 0.062 0.054 0.047 0.036 0.032 0.198 0.170 0.146 0.093 0.125 0.069 0.060 0.052 0317 0.270 0.231 0.045 0.039 0.034 0.030 0.026 0.130 0.111 0.069 0081 0.059 0.051 0044 0038 0.032 0.028 0.350 0.296 0.250 0.212 0.180 0.153 0.024 0.021 0. 0.194 0.116 0.098 0.164 0.138 0.083 0331 0.277 0.232 0.070 0.031 0.027 0.060 0.051 0.043 0.037 0.023 0.020 0.017 0. 0.073 0043 0.061 0.051 0.037 0.031 0.026 0.022 0.019 0456 0.377 0.312 0.258 0215 0.178 0.149 0.124 0.104 0.087 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 0439 0.359 0.294 0.242 0.199 0422 0.342 0278 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 0.138 0.112 0.091 0.211 0.170 0074 0.060 0.049 0040 0013 0.027 0.022 0.007 0.018 0.015 0.012 0.010 0.009 0 0.066 0.053 0.043 0023 0.019 0035 0.028 0010 0.008 0.158 0.126 0.102 0082 0015 0013 0.006 0.007 0. 0.146 0.116 0.092 0.074 0.059 0.047 0038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0 0361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.017 0.026 0.021 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.006 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.005 0.004 0.003 0 0.150 0.116 0.090 0.069 0.026 0.054 0.042 0.033 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0 0.141 0.107 0.082 0.063 0.048 0.037 0029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0 25 0.354 0.333 0.305 0.263 0.285 0.266 0.243 0.225 0.191 0.195 0.178 0.148 0.135 0.162 0.235 0.222 0. 0.191 0.179 0. 0.155 0.144 0.167 0.137 0.126 0.116 0.103 0.112 0. 0. 0.094 0 0.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0. 0.107 0.182 0.163 0.141 0.140 0.123 0.108 0.093 0.080 0.145 0.130 0.116 0.104 0.093 0084 0.075 0.068 0.061 0J 0.099 0.088 0.078 0.069 0062 0.055 0.049 0. 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0. OF 0. 0.016 0.014 0.013 0.011 0. 0 0 EXHIBIT 14B-2 Present Value of an Annuity of $1 in Arrears; Periods 4% 1 2 6% 5% 0.962 0.952 0.943 1.886 1.859 1.833 7% 8% 3 2.775 2.723 2.673 0.935 0.926 1.808 1.783 2.624 2.577 2.531 9% 0.917 1.759 4 3.630 3546 3.465 3.387 3312 3.240 5 4452 4.329 4.212 4.100 3.993 3.890 3.791 12% 10% 11% 0.909 0.901 0.893 1.690 1.736 1.713 2.444 2.402 2487 3.170 3.102 3.037 3.696 3.605 14% 13% 0.885 0.877 1.647 1.668 2.361 2.322 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 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4423 4.288 4.160 4.039 3.922 8 6.733 6463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 3.589 3498 3.685 3.812 4.078 22% 23% 25 20% 19% 21% 18% 17% 15% 16% 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.84 0.870 0.862 0.855 1.528 1547 1.509 1492 1.474 1457 14 1.585 1.566 1.626 1.605 2.011 2.074 2.042 1.981 19 2.106 2.283 2.246 2.210 2.174 2.140 2.540 2.494 2.448 2.404 2.34 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 3.058 2.991 2.926 2.864 2.803 2.745 2.68 3.199 3.127 3.352 3.274 3.433 3517 3.410 3.167 3.326 3.245 3.020 2.95 3.092 3.508 3.416 3.327 3.242 3.14 3.706 3.605 3.954 3.837 3.726 24% 3.619 3.518 3.421 3.32 9 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5537 5.328 5.132 4.946 4.772 4.607 4451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 34 10 8.111 11 8.760 6.710 6418 7.139 5426 5216 12 9385 13 9.986 9394 8.853 14 10.563 9.899 9.295 8.745 15 11.118 10.380 9.712 9.108 16 11.652 10.838 10.106 9.447 17 12.166 11.274 10.477 9.763 18 19 12.659 11.690 10.828 10.059 9.372 13.134 12.085 11.158 10.336 9.604 20 13.590 12.462 11.470 10.594 9.818 21 22 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 8.883 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 26 27 28 29 15.983 14.375 13.003 11.826 10.810 9.929 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 10.198 9.370 16.984 15.141 13.591 12.278 11.158 9.161 8488 8.548 8.602 8.650 4.339 4.192 5.019 4.833 6.145 5889 5.650 7.722 7.360 7.024 4.486 4.327 4.177 5.453 5.234 5.029 5.938 5.687 8.306 7.887 6.805 6.495 7.499 6.207 4.988 4.793 4.611 4.439 4.278 4.127 3.985 5.660 5.421 5.197 8.863 8.384 7536 7.943 7.161 6.814 6.492 6.194 5918 4.533 4.362 4.203 5.118 4.053 4.910 4.715 5842 5.583 5.342 6424 6.122 6.750 8.358 7.904 7.487 7.103 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.82 6.002 5.724 5.468 5.229 6.982 8.244 7.786 7367 6.628 6.302 4.675 4.489 5.575 5.324 5.092 4.876 4.315 4.153 5.847 4.001 3.85 6.142 8.061 7.606 7.191 6.811 6462 8.559 4.357 4.189 4.033 4,536 4.938 4.730 7379 6.604 5.954 5.668 5.405 5.162 8.313 7.824 6.974 6.265 8851 7.549 7.120 6.729 6.047 5.749 5475 5.222 6.373 4.990 4.576 4.219 4.059 4.391 9.122 8.544 8.022 6:467 4419 6.128 5.818 5.534 5.273 5.033 4.608 4.243 7.702 7.250 6.840 8.756 8.201 4.442 4.263 6.198 5.877 5584 4.843 4.635 4.097 3.94 7.839 7.366 6.938 6.550 8.950 8.365 6.623 7.469 6.259 4.460 5.929 5.628 5.353 5.101 7.025 9.129 8.514 7.963 4.870 4.657 4.279 4.110 3.95 5.665 7.562 7.102 6.687 6.312 5.973 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.9 14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 5.696 4.909 5.410 5.149 4.690 4.488 4.302 4.130 8.772 8.176 7.645 7.170 6.743 6.359 6.011 3.9 14.451 13.163 12.042 11.061 10.201 9.442 7.230 8.266 7.718 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4311 4.137 3.9 6.835 7.784 7.283 8.348 6.434 6.073 5.746 5451 5.182 4.937 4.713 4.507 4318 4.143 3.91 8.422 7.843 7.330 6.873 5.195 6.464 6.097 5.766 5.467 4.948 4.721 4514 4.323 4.147 3.9 7.896 7.372 6.906 6491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 39 7.943 7.409 6.935 6.514 6.136 5.798 5492 5.215 4.964 4.734 4.524 4.332 4.154 3.99 6.961 7.984 7441 6.534 6.152 5810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.99 6.551 8.022 7470 6.983 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4337 4.159 3.9 4.659 4.494 4.054 3.923 3.799 3.682 3.5 4.836 4.656 4.035 3.902 3.776 3.65 3.851 3.72 3.912 3.7 3.85 4.775 3.9 4,812 4.080 3.92 5.316 5.070
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started