Briggs Excavation Company is planning an investment of $882,700 for a bulldozer. The bulldozer is expected to operate for 4,000 hours per year for 10 years. Customers will be charged $145 per hour for bulldozer work. The bulldozer operator costs $34 per hour in wages and benefits. The bulldozer is expected to require annual maintenance costing $40,000. The bulldozer uses fuel that is expected to cost $45 per hour of bulldozer operation.Present Value of an Annuity of $1 at Compound InterestYear 6% 10% 12% 15% 20%1 0.943 0.909 0.893 0.870 0.8332 1.833 1.736 1.690 1.626 1.5283 2.673 2.487 2.402 2.283 2.1064 3.465 3.170 3.037 2.855 2.5895 4.212 3.791 3.605 3.352 2.9916 4.917 4.355 4.111 3.784 3.3267 5.582 4.868 4.564 4.160 3.6058 6.210 5.335 4.968 4.487 3.8379 6.802 5.759 5.328 4.772 4.03110 7.360 6.145 5.650 5.019 4.192a. Determine the equal annual net cash flows from operating the bulldozer. Use a minus sign to indicate cash outflows.b. Determine the net present value of the investment, assuming that the desired rate of return is 20%.c. Should Briggs Excavation invest in the bulldozer, based on this analysis?d. Determine the number of operating hours such that the present value of cash flows equals the amount to be invested. Round interim calculations and final answer to the nearest whole number.hours

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Answer:

A) initial outlay = -$882,700

cash flow per year = [($145 - $34 - $45) x 4,000] - $40,000 = $224,000

B) NPV = -$882,700 + ($224,000 x 4.192) = $56,308

C) Since the NPV is positive, then the company should invest in the new bulldozer.  

D) $882,700 = annual cash flow x 4.192

annual cash flow = $882,700 / 4.192 = $210,567.75

annual cash flow = (contribution margin per hour x ?) - $40,000

$210,568 = ($66 x ?) - $40,000

$250,568 = $66 x ?

number of hours = $250,568 / $66 = 3,796.48 ≈ 3,796 hours