One serving of Muesli breakfast cereal contains 4 grams of protein and 30 grams of
carbohydrates. One serving of Multi Bran Chex contains 2 grams of protein and 25 grams
of carbohydrates. A dietitian wants to mix these two cereals to make a batch that contains
at least 44 grams of protein and at least 450 grams of carbohydrates. If the cost of Muesli
is 21 cents per serving and the cost of Multi Bran Chex is 14 cents per serving, then how
many servings of each cereal would minimize the cost and satisfy the constraints? (Hints:
Formulate the problem as a linear programming problem and draw a graph to represent this problem and find
the minimum cost)
2007-12-06 13:39:38 · 2 answers · asked by ? 1 in Science & Mathematics ➔ Mathematics
44 <= 4M + 2C
450 <= 30M + 450C
Cost= 0.21M + 0.14C
2007-12-06 13:55:41 · answer #1 · answered by Tim C 7 · 0⤊ 0⤋
1. Plot the inequality restrictions 2. Determine the cornerpoints 3. Substitute the (x,y) of the corner points into x+4y=C and see which gives the minimal result 4. Choose your answer
2016-04-07 22:48:02 · answer #2 · answered by Anonymous · 0⤊ 0⤋