$10.$ DAT, Inc., needs to develop an aggregate plan for its product line. Relevant data are

Production time

$1$ hour per unit

Average labor cost

$$10$ per hour $5$ days, $8$ hours

Workweek

each day

Days per month

Assume $20$ workdays

$500$ units One$-$half month

Shortage cost

$$20$ per unit per

manth

$$5$ per unit per month

The forecast for next year is

per month

Carrying cost

JAN FEB MAR APR

$3,000$

Beginning inventory

Safety stock

MAY JUNE JULY AUG

SEPT.

OCT.

Nov.

Der

$2,500$

$4,0003\mathrm{.}5003\mathrm{.}5003\mathrm{.}0003,0004,0004,000$

$262$ of $523$

A

$4,0003,000$

$3,000$