follow.

Planners for a firm are about to prepare the aggregate plan for one particular product that will cover the next six periods. Demand over those six periods is expected to be:

$250,200,400,500,550,$ and $300$ for total demand of $2,200.$

'They have regular time capacity of $350$ units per period and they plan to produce that many each period. They have unlimited overtime capacity. They will only produce in overtime to prevent a backorder$/$backlog$.$ They realize that this plan could result in some inventory at the end of the sixth period. Beginning inventory is $2$

Production costs per unit are as follows:

Regular time

Overtime

$$2\mathrm{.}25$

$$4\mathrm{.}00$

Inventory

$$1\mathrm{.}25$

Backorders

$$6\mathrm{.}50$

Prepare an aggregate plan and determine its cost. Use the plan you develop to answer the questions that follow.

What is the average inventory for period $1?$