Coastal Hospital is evaluating two capital investment projects for the upcoming year, each of which requires an up$-$front expenditure of $$7\mathrm{.}5$ million. The expected net cash flows for each project are estimated as follows:

a$.$ What is the NPV for each project using a cost of capital of $17\%?$

b$.$ What is the NPV for each project using a cost of capital of $12\%?$

c$.$ At the $12\%$ cost of capital rate, which project$($s$)$ should be accepted and why?

d$.$ At the $17\%$ cost of capital rate, which project$($s$)$ should be accepted and why?