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 isected 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 $2?$