Two inventors recently organzied as innovaction inc consult you regarding a new product. They have estimates of the annual costs of materials, labor, overhead and other expenses but need to know how much to charge for each unit to earn a profit equal to $15\%$ of their estimated total long$-$term investment of $$400,000($ignore income tax$).$ Their plans indicate that each unit of the new product requires the following: Direct Materials: $4$ lbs of a material costs $$5$ lb; direct labor: $2$ hours of a metal former's time at $$11$ hr$,\mathrm{.}6$ hr of an assemblers time at $$8/$hr