Cori's Dog House is considering the installation of a new computerized pressure cooker for hot dogs $.$ The cooker will increase sales by $ $5,800$ per year and will cut annual operating costs by $ $14,300.$ The system will cost $ $49,800$ 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 $21$ percent and the required return is $12\mathrm{.}7$ percent $.$ What is the NPV of purchasing the pressure cooker $?$