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$$ plan, which begins in January with units of inventory on hand. Stockout cost of lost sales is $$$ per unit. Inventory holding cost is $$$ per unit per month. Ignore any$$ idle$-$time costs. The plan is called plan C$.$

Plan$$ C: Keep a stable workforce by maintaining a constant production rate equal to the average gross requirements excluding initial inventory and allow varying inventory levels.

Conduct your analysis for January through August.

Part $2$

The average monthly demand requirement

$$

$1700$ units. $($Enter your response as a whole$$ number.$)$

Part $3$

In order to arrive at the$$ costs, first compute the ending inventory and stockout units for each month by filling in the table below