Below are the aggregate demand requirements and other data for the upcoming four quarters.

Quarter Demand Previous quarter's output $1550$ units

$11200$ Beginning inventory $150$ units

$21400$ Stockout cost $$50$ per unit

$31650$ Inventory holding cost $$10$ per unit at end of quarter

$41300$ Hiring workers $$8$ per unit

Laying off workers $$12$ per unit

Unit cost $$40$ per unit

Overtime $$15$ extra per unit

Subcontracting $$70$ per unit

Which of the following production plans is better:

a$.$ Plan A$$chase demand by hiring and layoffs to exactly meet monthly demand via regular time production. What is the total cost? $[$Blank$1]$

b$.$ Plan B$$Mixed Strategy $-$ produce at a constant rate of $1250$ and obtain the remainder from overtime. What is the total cost? $[$Blank$2]$

c$.$ Plan C$$Mixed Strategy $-$ produce at a constant rate of the minimum demand of the planning period and obtain the remainder from overtime $($cap $100$ units$),$

then subcontracting with a $($cap of $200$ units$).$ What is the total cost? $[$Blank$2]$

c$.$ What plan should be implemented? $[$Blank$3]$