Suppose that a manufacturer can produce a part for $$10\mathrm{.}00$ with a fixed cost of $$3,000.$ Alternately, the manufacturer could contract with a supplier in Asia to purchase the part at a cost of $$11\mathrm{.}00,$

which includes transportation.

a$.$ If the anticipated production volume is $1,300$ units, compute the total cost of manufacturing and the total cost of outsourcing.

b$.$ What is the best decision?

a$.$ The total cost of manufacturing is $

$($Simplify your answer.$)$