Goop Inc needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be Normally distributed with a mean of $450$ gallons and a standard deviation of $150$ gallons. Goop sells the polymer for $$25$ per gallon. Goop$$s purchases raw material for $$10$ per gallon and Goop must spend $$9$ per gallon to dispose off all unused raw material due to government regulations. $($One gallon of raw material yields one gallon of polymer.$)$ If demand is more than Goop can make, then Goop sells only what they made and the rest of demand is lost.

Suppose Goop purchases $450$ gallons of raw material. How much should they expect to

spend on disposal costs $($in $s$)?$