Part $1$ Given the following information:

Regular Prod. Capacity $=6,200$ units$/$qtr

Overtime Prod. Capacity $=3,000$ units$/$qtr

Subcont Prod. Capacity $=5,500$ units$/$qtr

Inventory Capacity $,=8,000$ units$/$qtr

Beginning Inventory $,=1,400$ units

Regular Prod. Cost $=$$$\frac{20}{?}$ unit

Overtime Prod. Cost $=$$$\frac{24}{?}$ unit

Subcont Prod. Cost $=$$$\frac{30}{?}$ unit

Inventory Cost $,=$$$\frac{7}{?}$ unit$/$qtr

Backordering Cost $=$$$\frac{19}{?}$ unit$/$qtr

Linear programming is to be used to determine a production plan strategy of Level Production,

Overtime, and Subcontracting.

Formulate the Objective Function $($note that there are $3$ quarters$).$

and $3.$ Formulate all Constraints $($standardized$).$

How many decision variables are in the model?

How many constraints are in the model?