# Ma

posted by
**Jeff**
.

Autoparts Inc. produces three types of parts' assemblies: (P,Q,R)and they each require (2,5,3) units of work on machine I and (2,2,4) units of work on machine II respectively. The two machines have respectively (160,190) units of work available per day. It is given that their profits are: (10,12,9) dollars respectively.

Assume that the production is given by x,y,z respectively and construct the following:

The profit function to be maximized is:?

The restriction imposed by machine I is:

? <= ?.

The restriction imposed by machine II is: ? <= ?.

Assume that the total production of the product P is required to be greater than or equal to the total production of the other two. Then we get the constraint: x >= ?.