A paint company has two types of bases from which it blends two types of paints: Tuffcoat and Satin- wear. Each base has a certain proportion of ingredients X, Y, and Z, as shown in the table at the top of p. 114, along with their costs.€ƒ

The specifications for the two paints are shown in the following table.
How should the two bases be blended to manufacture the two paints at a minimum cost? What is the cost per gallon for each paint?

Transcribed Image Text:

INGREDIENT X INGREDIENT Y INGREDIENT Z COST/GALLON Paint base A Paint base B 25% 3590 34% 42% 10% 15% $4.50 $6.50