Mousetraps.

A company faces the aggregate planning problem shown in the table below. The cost of regular production is $$15$ per unit, the cost of producing the same unit on overtime is $$22\mathrm{.}50,$ the cost of subcontracting is $$27$ per unit, and the cost of carrying a unit in inventory from one month to the next is $$1$

July August September October November

Forecast $800650450550900$

Beginning Inventory $140$

Regular Time

Overtime

Subcontracting

Ending Inventory

The labor contract at the plant prohibits both overtime and subcontracting output to exceed $250$ units in any five$-$month window. The plant capacity is $20$ units per day produced using two shifts and the plant runs seven days a week. By policy, management wants to avoid stockouts.

Develop an aggregate plan for this scenario and solve it using Solver.