Decorum Incorporated manufactures high$-$end ceiling fans. Their sales are seasonal with higher demand in the warmer summer months. Typically, sales average $400$ units per month. However, in the hot summer months $($June$,$ July, and August$),$ sales spike up to $600$ units per month. Decorum can produce up to $500$ units per month at a cost of $$305$ each. By bringing in temporary workers, Decorum can produce up to an additional $75$ units at a cost of $$355$ each. Decorum sells the ceiling fans for $$520$ each. Decorum can carry inventory from one month to the next, but at a cost of $$25$ per ceiling fan per month. Decorum has $20$ units in inventory at the start of January.