Consider the following aggregate planning problem for one quarter.Consider the following aggregate planning problem for one quarter.

Assume that there is no initial inventory and a forecasted demand of $1,250$ units in each of the $3$ months. Carrying cost is $$1$ per unit per month. Solve this aggregate planning problem for Production

Manager Victor Shi using the transportation method.

Using the transportation method and assuming that backorders are not permitted, the optimal total cost $=$$$,($enter your response as a whole number$).$

Regular Time

Overtime

Subcontracting

Production$$ capacity$/$month

$1,000$

$200$

$150$

Production$$ cost$/$unit

$$$$5$

$$$$7$

$$$$8$

Assume that there is no initial inventory and a forecasted demand of$1,250$ units in each of the $3$ months. Carrying cost is$$ $$1$ per unit per month. Solve this aggregate planning problem for Production Manager Victor Shi using the transportation method.

Part $2$

Using the transportation method and assuming that backorders are not$$ permitted, the optimal total costequals$$$

$$

enter your response here $($enter your response as a whole$$ number$).$