Hello, kylezj!

Mostpure Milk Company buys milk from two local dairies

and then blends the milk to get the desired amount of butterfat.

Milk from Dairy A costs $2.40 per gallon and milk from Dairy B costs 0.80 per gallon.

At most $144 is budgeted for purchasing milk.

Dairy A can supply at most 50 gallons of milk averaging 3.7% butterfat

and Dairy B can supply at most 80 gallons of milk averaging 3.2% butterfat.

How much milk from each supplier should Mostpure use to get at most 100 gallons

of milk with the maximum amount of butterfat?

So far i have these inequalities: . . . . . Good!

They want a total of 100 gallons (at most): .

. . And we must maximize: .