A planner has been asked to create a level workforce plan for a $4-$month period. All workforce policies are given in the table below.

Workforce policies and costs:

Number of employee : $55$ people

Regular output per employee: $100$ units per month

Overtime production: $800$ max units per month

Regular production cost: $$20$ per unit

Overtime production cost: $$30$ per unit

Holding cost: $$2$ per unit in avg inventory

Beginning inventory: $0$ units

Hiring and layoffs: not allowed

Backlog: not allowed

A$.$ What is the maximum monthly output for this plan? Include regular and overtime units.

$800$

$10000$

$6300$

$5500$