APP Linear Programming $--$ Level Production, Overtime, Subcontracting

$\backslash$table$[[$Quarter$,$Demand$],[1,8,600],[2,10,700],[3,9,500]]$

Regular Prod. Capacity $=9,600$ units$/$qtr

Overtime Prod. Capacity $=2,000$ units$/$atr

Subcontracting Capacity $=7,000$ units$/$qtr

Inventory Capacity $=11,000$ units$/$atr

Beginning Inventory $,=1,000$

Production rate$/$worker $=100$ units$/$qtr

Starting workforce $=96$

Regular Prod. Cost $=$$$\frac{10}{?}$ unit

Overtime Prod. Cost $,=$$$\frac{14}{?}$ unit

Subcontract Prod. Cost $=$$$\frac{18}{?}$ unit

Inventory Cost $,=$$$\frac{5}{?}$ unit$/$qtr

Hiring Cost $,=$$$\frac{1100}{?}$ worker

Firing Cost $,=$$$\frac{3000}{?}$ worker

The company would like to use Linear Programming to determine the optimal mixture of Level Production, Overtime, and Subcontracting strategies. Note that there are only three quarters.

How many decision variables are in the model?

$9$

$9$

$12$

$15$

$18$

$24$