The Elberta Fruit Farm of Ontario always has hired transient workers to pick its annual cherry crop. Janessa Wright, the farm manager, just received information on a cherry picking machine that is being purchased by many fruit farms. The machine is a motorized device that shakes the cherry tree, causing the cherries to fall onto plastic tarps that funnel the cherries into bins. Ms. Wright has gathered the following information to decide whether a cherry picker would be a profitable investment for the Elberta Fruit Farm:

Currently, the farm is paying an average of $180,000 per year to transient workers to pick the cherries.

The cherry picker would cost $420,000, and it would have an estimated 10-year useful life. The farm uses straight-line depreciation on all assets and considers salvage value in computing depreciation expense. The estimated salvage value of the cherry picker is $70,000.

Annual out-of-pocket costs associated with the cherry picker would be: cost of an operator and an assistant, $85,000; insurance, $2,000; fuel, $10,000; and a maintenance contract, $15,000.

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor using tables.

Required:

1. Determine the annual savings in cash operating costs that would be realized if the cherry picker were purchased.

2a. Compute the simple rate of return expected from the cherry picker.

2b. Would the cherry picker be purchased if Elberta Fruit Farms required rate of return is 12%?

3a. Compute the payback period on the cherry picker.

3b. The Elberta Fruit Farm will not purchase equipment unless it has a payback period of eight years or less. Would the cherry picker be purchased?

4a. Compute the internal rate of return promised by the cherry picker.

4b. Based on this computation, does it appear that the simple rate of return is an accurate guide in investment decisions?

EXHIBIT 13B Present Value of $1; Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 10% 20% 21% 22% 23% 24% 25% 1 2 3 4 5 0.962 0.952 0.943 0.935 0.926 0.917 0.909 o.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 0.925 0.907 0.890 0.873 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 0.889 0.864 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 0.855 0.823 0.792 0.763 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 0.822 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 0,419 0.402 0.386 0.370 0.355 0.341 0.328 6 7 8 9 10 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 0.703 0.645 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 O.180 0.167 0.155 0.144 0.134 0.676 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 11 12 13 14 15 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 0.625 0.557 0.497 0.444 0.397 0.356 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 0.601 0.530 0.469 0.415 0.368 0.326 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 0.577 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 0.088 0.078 0.069 0.062 0.055 0.049 0.044 0.555 0.481 0.417 0.362 0.315 0.275 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 16 0.534 0.458 0.394 0.339 0.292 0.252 0.218 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 7 0.513 0.436 0.371 0.317 0.270 0.231 0.198 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 18 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 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 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 20 0.456 0.377 0.3 12 0.258 0.215 0.178 0.149 0.124 0. 104 ?.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 21 22 23 24 25 0.439 0.359 0.294 0.242 0.199 0.164 O.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 0.422 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 0,406 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 0.390 0.310 0.247 0.197 0.158 0.126 0.102 O.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.00B 0.007 0.006 0.005 0.375 0.295 0.233 0.184 0.146 0.116 O.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 26 0.361 0.281 0.220 0.172 0.135 0.106 0.084 O.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 27 0.347 0.268 0.207 0.161 0.125 0.098 O.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 28 0.333 0.255 0.196 0.150 0.116 0.090 O.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 29 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0,048 0.037 0,029 0,022 0.017 0.014 0011 0.008 0,006 0,005 0.004 0,003 0.002 0.002 0.002 30 0.308 0.231 0.174 0.131 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 40 0,208 0.142 0.097 0.067 0.046 0.032 0.022 0015 0.011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0001 0.000 0.000 0.000 0.000 0.000