Diamond Widgets has developed a new widget. It can go into production for an initial investment in equipment of $$10$ million. The equipment will be depreciated straight line over $5$ year to a value of zero, but in fact it will be sold after $4$ years for $$3,000,000.$ The project requires a working capital commitment of $$500,000$ at the outset. The working capital will be recaptured when the project ends in $4$ years. The firm estimates that it will sell $2$ million widgets each year; production costs will equal to $$2$ per widget and the widgets can be sold for $$5$ each. The firm$$s tax bracket is $40\%,$ and the required rate of return on the project is $12\%.$

The answer should be $4,834,443$