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 O Minimize z 2x 3y subject to 5x 2y 10 2x 4y 29 x 20 y 20 Minimize z 3x 2y subject to 5x 2y 10 2x 4y 9 x20 y 20 O Minimize z 3x 2y subject to 2x 4y 10 5x 2y 29 x 20 y 20 O Minimize z 3x 2y Subject to 5x 2y 10 2x 4y z 9 x 20 y20