Apple is facing the aggregate planning problem shown in the table below. Cost of regular production is $$8$ per unit, the cost of producing the same unit on overtime is $$15,$ the cost of subcontracting is $$12$ per unit, and the cost of carrying a unit in inventory from one month to the next is $$6.$subcontracting is $$12$ per unit, and the cost of carrying a unit in inventory from one month to the

next is $$6.$

The labor contract at the plant prohibits both overtime and subcontracting output to exceed $400$

units in any five$-$month window. The plant capacity is $20$ units per day produced using two shifts

and the plant runs seven days a week. By policy, management wants to avoid stockouts.

What is the optimal total cost of the aggregate plan developed to address this problem?

A$)$ $$27,200$

B$)$ $$20,960$

C$)$ $$31,400$

D$)$ $$26,600$

How many units are produced using overtime in the optimal aggregate plan developed to

solve this problem?

A$)360$

B$)200$

C$)400$

D$)280$

How many months does the regular time output exceed plant capacity in the optimal solution?

A$)0$

B$)1$

C$)2$

D$)3$