#$5.$ Suppose that a manufacturer can produce a part for $$10$ per unit, with a fixed cost of $$5,000$ for buying a special tool. Alternatively, the manufacturer could contract with a supplier in Asia to purchase the part at a cost of $$12$ per unit, which includes transportation.

$($a$)$ If the anticipated production volume is $1,200$ units, compute the total cost of manufacturing and total cost of outsourcing, respectively.

$($Show your calculations$)$

$($b$)$ What is the best decision, outsourcing or not?