Deforrest Marine Motors manufactures engines for the speedboat racing circuit. As part of their annual planning cycle, they forecasted demand for the next four quarters. The number of available days of production and the anticipated demand are given below.

Q$1$

Q$2$

Q$3$

Q$4$

Demand

$2,400$

$2,200$

$1,700$

$1,800$

They also estimated many of the costs required to conduct operations planning. Some of these key figures are listed below.

Employees

$30$

Hire Cost $$1,200/$employee

Production Rate $70$ units$/$employee$/$quarter Fire Cost $$800/$employee

Production Cost $$1,000/$unit Subcontracting Cost $$1,800/$unit

Backorder Cost $$200/$unit$/$quarter Subcontracting Limit $400$ units maximum

Overtime Cost $$1,500/$unit Inventory Cost $$100/$unit$/$quarter

Overtime Limit $<=25\%$ of Reg. Production Initial Inventory $280$ units

Deforrest Marine Motors wishes to maintain the current number of employees for the entire year to follow a level strategy balanced with inventory and backorders as needed. What is the total cost of this plan?