$($Related to Checkpoint $12\mathrm{.}1)($Comprehensive problem$-$calculating project cash flows, NPV$,$ PI$,$ and IRR$)$ Traid Winds Corporation, a firm in the $32$ percent marginal tax bracket with a required rate of return or discount rate of $11$ percent, is considering a new project. This project involves the introduction of a new product. The project is expected to last $5$ years and then, because this is somewhat of a fad product, it will be terminated. Given the following information, $,$ determine the free cash flows associated with the project, the project's net present value, the profitability index, and the internal rate of return. Apply the appropriate decision criteria.

a$.$ Determine the free cash flows associated with the project.

The FCF in year $0$ is $ $($Round to the nearest dollar.$)$

Data table

$\backslash$table$[[\backslash$table$[[$Cost of new plant and equipment:$],[$Shipping and installation costs:$],[$Unit sales:$]],\backslash$table$[[\backslash$table$[[$$$14,800,000$