State the linear programming problem. A breed of cattle needs at least 10 grams of protein and at least 9 grams of fat p

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State The Linear Programming Problem A Breed Of Cattle Needs At Least 10 Grams Of Protein And At Least 9 Grams Of Fat P 1 (28.49 KiB) Viewed 30 times

State the linear programming problem. A breed of cattle needs at least 10 grams of protein and at least 9 grams of fat per day. These nutrients come from food A and food B. Food A provides 5 grams of protein and 2 grams of fat and costs $3 per unit. Food B provides 2 grams of protein and 4 grams of fat and costs $2 per unit. How much of each food must be bought to obtain the minimum cost per serving? Let x be the amount of food A needed and y be the amount of food B needed. Minimize z- 3x + 2y subject to: 2x + 4y z 10 5x + 2y 29 x20, y 20 O Minimize z-2x + 3y subject to: 5x + 2y z 10 2x+4y29 xz0.y20 Minimize z- 3x + 2y Subject to: 5x + 2y = 10 2x + 4y = 9 x ≥ 0, y 20 Minimize z = 3x + 2y subject to: 5x + 2y ≤ 10 2x + 4y ≤ 9 x 20, y 20