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

January

May

February

June

March

July

April

August

?

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

Plan$?$ ?B: Produce at a constant rate of units per$?$ ?month, which will meet minimum demands. Then use$?$ ?subcontracting, with additional units at a premium price of $?$$ per unit. Subcontracting capacity is limited to 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

$1$

January

$??$

enter your response here

$??$

enter your response here

$2$

February

$??$

enter your response here

$??$

enter your response here

$3$

March

$??$

enter your response here

$??$

enter your response here

$4$

April

$??$

enter your response here

$??$

enter your response here

$5$

May

$??$

enter your response here

$??$

enter your response here

$6$

June

$??$

enter your response here

$??$

enter your response here

$7$

July

$??$

enter your response here

$??$

enter your response here

$8$

August

$??$

enter your response here

$??$

enter your response here