$23$ Given your answers to Problem $11\mathrm{.}22,$ the costs of the two$-$carousel systems are to be compared. The one$-$carousel system has an installed cost of $$50,000,$ and the comparable cost of the two$-$carousel system is $$75,000.$ Labor cost for a picker$-$operator is $$\frac{20}{h}r,$ including fringe benefits and applicable overhead. The storage systems will be operated $250$ days$/$ yr for $7h\frac{r}{d}ay,$ although the operators will be paid for $8hr.$ Using a $3-$year period in your analysis, and a $25\%$ rate of return, determine $($a$)$ the equivalent annual cost for the two design alternatives, assuming no salvage value at the end of three years; and $($b$)$ the average cost per storage$/$retrieval transaction.