Write equations/inequalities for each constraint. Graph the feasible region and find the minimum cost.

Question

A rancher is mixing two types of food Brand x and Brand y. Each serving of the combined brands must include 60 grams of protein & 30 grams of fat.

Protein Fat Cost

Brand x 15 10 0.80

Brand y 20 5 0.50

The rancher doesn’t want to use more than 4 grams of each in the combination.

How much Brand x and Brand y should be mixed together for the perfect blend?

Answer 1

protein 4x=3y want 60

fat x/2=y " 30

This can't be done without breaking the brands to get proper grams.