Use the information below to work all the problems in this section. Work the problem very carefully and pay attention to the details. Values build on values so once you make a mistake, it is likely that all the following values will be incorrect.

Demand for the next six periods: $2,000$; $2,000$; $3,500$; $4,000$; $5,000$; $2,100$

Maximum regular time production: $2,500$

Maximum overtime production: $2,000$

They use the chase strategy. If there is not enough production capacity to meet demand, where possible, they will produce earlier to build up inventory to meet that demand.

The following costs are per unit:

Regular time: $$4\mathrm{.}00$

Overtime: $$7\mathrm{.}50$

Inventory per period: $$2\mathrm{.}85$

Backorders: $$20\mathrm{.}00$

Develop the aggregate plan.