Final answer:
The exercise involves calculating payback periods for two capital expenditure proposals for a tennis center to decide which would provide a better return on investment. The proposals' costs are compared against the additional annual revenue from increased court usage to determine the more lucrative option.
Step-by-step explanation:
The question regards the evaluation of two competing capital expenditure proposals based on their expected benefits and the costs involved, including loan repayments for a tennis center in Cliffsville. To determine which proposal yields better business performance, one should calculate the increase in court usage revenue against the initial capital costs and ongoing loan repayments. We are asked to consider Proposal A (resurfacing grass courts into hard courts) and Proposal B (covering courts with an airdome), each with a different capital cost and an estimated increase in court hours. Both have the same operating costs, and the interest rate on the borrowed amount is 9% for a five-year term.
To evaluate each proposal, one would typically calculate the payback period, which measures how long it will take for the income generated by the investment to repay the initial capital cost. The extra income per court hour is given, and by multiplying this by the increase in court hours per year, we can estimate the additional annual revenue. This revenue is then used to calculate the payback period by dividing the capital cost by the annual additional income. The proposal with the shorter payback period is often considered the better investment.