$15\mathrm{.}3$ Consider the project contained in Problem $14\mathrm{.}7$ in Chapter $14$ from Gapenski Healthcare Finance Seventh Edition

a$.$ Perform a sensitivity analysis to see how NPV is affected by changes in the number of procedures per day, average collection amount, and salvage value.

b$.$ Conduct a scenario analysis suppose that the hospital$$s staff concluded that the three most uncertain variables were the number of procedures per day, average collection amount, and the equipment$$s salvage value.

c$.$ Furthermore, the following data were developed:a$.$ Finally, assume that California Health Center$$s average project has a coefficient of variation of NPV in the range of $1\mathrm{.}02\mathrm{.}0.$ The hospital adjusts for risk by adding or subtracting $3\%$ points to its $10\%$ corporate cost of capital. After adjusting for differential risk, is the project still profitable?

d$.$ What type of risk was measured and accounted for in Parts B and C$?$ Should this be of concern to the hospital$$s managers?