The president of Hill$$ Enterprises, Terri$$ Hill, projects the$$ firm's aggregate demand requirements over the next $8$ months as$$ follows:$$

January

$1,200$

May

$2,100$

February

$1,700$

June

$2,200$

March

$1,800$

July

$1,800$

April

$1,900$

August

$1,500$

Her operations manager is considering a new$$ plan, which begins in January with $200$ units on hand and ends with zero inventory. Stockout cost of lost sales is $$$$100$ per unit. Inventory holding cost is $$$$20$ per unit per month. Ignore any$$ idle$-$time costs. The plan is called plan B$.$Plan$$ B: Produce at a constant rate of

$1,200$ units per$$ month, which will meet minimum demands. Then use$$ subcontracting, with additional units at a premium price of $$$$80$ per unit. Subcontracting capacity is limited to $1,000$ units per month. Evaluate this plan by computing the costs for January through August.

Part $2$

In order to arrive at the$$ costs, first compute the ending inventory and subcontracting units for each month by filling in the table below $($enter your responses as whole$$ numbers$).$

$$

Period

Month

Demand

Production

Ending Inventory

Subcontract Units

$0$

December

$200$

$1$

January

$1,200$

$1,200$

enter your response here

enter your response here

$2$

February

$1,700$

$1,200$

enter your response here

enter your response here

$3$

March

$1,800$

$1,200$

enter your response here

enter your response here

$4$

April

$1,900$

$1,200$

enter your response here

enter your response here

$5$

May

$2,100$

$1,200$

enter your response here

enter your response here

$6$

June

$2,200$

$1,200$

enter your response here

enter your response here

$7$

July

$1,800$

$1,200$

enter your response here

enter your response here

$8$

August

$1,500$

$1,200$

enter your response here

enter your response here