$4)$ Cori's Dog House is considering the installation of a new computerized pressure cooker for hot dogs. The cooker will increase sales by $$7,400$ per year and will cut annual operating costs by $$12,200.$ The system will cost $$50,700$ to purchase and install. This system is expected to have a $7-$year life and will be depreciated to zero using straight$-$line depreciation and have no salvage value. The tax rate is $24$ percent and the required return is $12\mathrm{.}3$ percent. What is the NPV of purchasing the pressure cooker?

A$)$ $$-4,550$

B$)$ $$41,524$

C$)$ $$24,498$

D$)$$$26,350$

E$)$$$21,577$

please show all work. do not use excel