Cattle feed can be mixed from oats, corn, alfalfa, and peanut hulls. The following table shows the current cost per ton (in dollars) of each of these ingredients, together with the percentage of recommended daily allowances for protein, fat, and fiber that a serving of it fulfills.

Oats Corn Alfalfa Hulls

% Protein 60 80 55 40

% Fat 50 70 40 100

% Fiber 90 30 60 80 Cost 200 150 100 75 We want to find a minimum cost way to produce feed that statisfies at least 60% of the daily allowance for protein and fiber while not exceeding 60% of the fat allowance.

(a) Formulate a blending LP to choose an optimal feed mix.

(b) Which of the constraints of your model are composition constraints? Explain.

(c) Enter and solve your model with the class optimization software.