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

January

$1,500$

May

$2,200$

February

$1,600$

June

$2,300$

March

$1,600$

July

$1,700$

April

$1,900$

August

$1,300$

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$$ B: Produce at a constant rate of $1,300$ units per$$ 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$).$