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

$2,100$

February

$1,700$

June

$2,200$

March

$1,600$

July

$1,700$

April

$1,900$

August

$1,700$

Her operations manager is considering a new$$ plan, which begins in January with $200$ units of inventory on hand. Stockout cost of lost sales is $$$$100$ per unit. Inventory holding cost is $$$$25$ per unit per month. Ignore any$$ idle$-$time costs. The plan is called plan A$.$

Plan$$ A: Vary the workforce level to execute a strategy that produces the quantity demanded in the prior month. The December demand and rate of production are both $1,600$ units per month. The cost of hiring additional workers is $$$$50$ per unit. The cost of laying off workers is $$$$80$ per unit. Evaluate this plan. $($Enter all responses as whole numbers$.)$

$$Note: Both hiring and layoff costs are incurred in the month of the change. For$$ example, going from $1,600$ in January to $1,500$ in February incurs a cost of layoff for $100$ units in February.

Part $2$

$$

Period

Month

Demand

Production

Hire

$($Units$)$

Layoff

$($Units$)$

Ending Inventory

Stockouts

$($Units$)$

$0$

December

$1,600$

$1,600$

$200$

$1$

January

$1,500$

$1,600$

enter your response here

enter your response here

enter your response here

enter your response here

$2$

February

$1,700$

$1,500$

enter your response here

enter your response here

enter your response here

enter your response here

$3$

March

$1,600$

$1,700$

enter your response here

enter your response here

enter your response here

enter your response here

$4$

April

$1,900$

$1,600$

enter your response here

enter your response here

enter your response here

enter your response here

$5$

May

$2,100$

$1,900$

enter your response here

enter your response here

enter your response here

enter your response here

$6$

June

$2,200$

$2,100$

enter your response here

enter your response here

enter your response here

enter your response here

$7$

July

$1,700$

$2,200$

enter your response here

enter your response here

enter your response here

enter your response here

$8$

August

$1,700$

$1,700$

enter your response here

enter your response here

enter your response here

enter your response here