The expected profit is calculated according to this formula:

Expected Profit $=($profit per unit sold$)($number of units sold$)+($loss per unsold unit$)($number of unsold units$)$

Specialty Toy's profit per unit sold is $$24-$ $$16=$ $$8,$ and their loss per unsold unit is $$5-$ $$16=-$$$11.$ If Specialty Toys orders $15000$ units and sells only $10000$ before the holidays, their expected profit is:

$($$$8)(10000)+(-$$$11)(5000)=$ $$25000$

$($a$)$ What is the expected profit if all $15,000$ units are sold?