Question $1$ options:

Aggregate Planning

$$

Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time, overtime, subcontract and backorders. Regular time is limited to $160$ units per month $($Cost per Unit $=$ $$40).$ Overtime is limited to a maximum of $20$ units per month $($Cost per Unit $=$$$60).$ Units purchased from the subcontractor $($Cost per Unit $=$ $$72)$ cannot exceed $70$ per month and the total purchases from the subcontractor over the $6$ month period cannot be over $180$ units. Backorders cannot exceed $30$ units in any given month $($Cost per Unit $=$ $$2)$ and must be no more than $20$ in Period $6.$ Average Inventory Holding cost per Unit $=$ $$5.$ Forecasted Demand as well as Beginning and desired Ending Inventory are listed in the table below.

$$

Month

$1$

$2$

$3$

$4$

$5$

$6$

Total

Regular Output

$$

$$

$$

$$

$$

$$

$$

Overtime Output

$$

$$

$$

$$

$$

$$

$$

Subcontract

$$

$$

$$

$$

$$

$$

$$

Beginning Inventory

$30$

$$

$$

$$

$$

$$

$$

Total Available for Sale

$$

$$

$$

$$

$$

$$

$$

Less Forecast

$220$

$210$

$310$

$150$

$170$

$160$

$$

Plus Backlog$-$Current Period

$$

$$

$$

$$

$$

$$

$$

Less Backlog$-$Previous Period

$$

$$

$$

$$

$$

$$

$$

Ending Inventory

$$

$$

$$

$$

$$

$40$

$$

Average Inventory

$$

$$

$$

$$

$$

$$

$$

$$

Find the solution for each question:

$$

Total Cost Month $1=$

Hint: Range $(8305,8455)$

Total Cost Month $2=$

Hint: Range $(11955,12065)$

Total Cost Month $3=$

Total Cost Month $4=$

Total Cost Month $5=$

Hint: Range $(6940,7070)$

Total Cost Month $6=$

Total Cost All Periods $=$

Hint: Range $(55105,55605)$

Answer Format: No Dollar $($$$)$ signs or commas $---$ Answers should be whole numbers.