NPV unequal

Grady Enterprises is looking at two project opportunities for a parcel of land the company currently owns. The first project is a​ restaurant, and the second project is a sports facility. The projected cash flow of the restaurant is an initial cost of

with cash flows over the next six years of

​(year one),

​(year two),

​(years three through​ five), and

​(year six), at which point Grady plans to sell the restaurant. The sports facility has the following cash​ flows: an initial cost of

with cash flows over the next four years of

​(years one through​ three) and

​(year four), at which point Grady plans to sell the facility. If the appropriate discount rate for the restaurant is

and the appropriate discount rate for the sports facility is