Fabulous Fit Fibers produces a line of sweat clothes that exhibits a varying demand pattern, as shown in the following:

Period

Demand

September

$100$

October

$130$

November

$200$

December

$300$

The following table shows the cost of different methods to produce, supply, and satisfy the customers and the constraints for each technique. Please calculate the best combinations of production$/$supply by using transportation and aggregate planning.

Also, calculate the cost of the production plan.

Maximum regular production:$100$ units$/$month

Maximum overtime production:$50$ units$/$month

Maximum subcontracting:$50$ units$/$month

Regular production costs $$$$10/$per unit

Overtime production costs $$$$25/$unit

Subcontracting costs $$$$35/$unit

Inventory holding costs $$$$5/$unit$/$month$.$

Beginning inventory $0$