Cori's Dog House is considering the installation of a new computerized pressure cooker for hot dogs. The cooker will increase sales by $$8,700$ per year and will cut annual operating costs by $$12,900.$ The system will cost $$45,000$ to purchase and install. This system is expected to have a $4-$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 $10\mathrm{.}4$ percent. What is the NPV of purchasing the pressure cooker?