Two different kinds of foods A and B are being considered to form a weekly diet. The…
Mathematics · Class 12 · CBSE — Linear Programming
Two different kinds of foods A and B are being considered to form a weekly diet. The minimum weekly requirement of fats, carbohydrates and proteins are 17, 28 and 14 units respectively. One kg of food A has
5 units of fat, 12 units of carbohydrates and 7 units of protein. One kg of food B has 7 units of fat, 15 units of carbohydrates and 9 units of protein. The price of food A is ` 5 per kg and that of food B is ` 7 per kg. Form the LPP to minimize the cost.
5 units of fat, 12 units of carbohydrates and 7 units of protein. One kg of food B has 7 units of fat, 15 units of carbohydrates and 9 units of protein. The price of food A is ` 5 per kg and that of food B is ` 7 per kg. Form the LPP to minimize the cost.
- Minimize Z = 5x + 7y
Subject to 5x + 7y ≥ 17, 12x + 15y ≥ 28,7x + 9y ≥ 14, x ≥ 0, y ≥ 0 - Minimize Z = 5x + 7y
Subject to 5x + 7y ≥ 17, 12x + 15y ≥ 28,7x + 9y ≤ 14, x ≥ 0, y ≥ 0 - Minimize Z = 5x + 7y
Subject to 5x + 7y ≥ 17, 12x + 15y ≥ 28,7x + 9y ≥ 14, x ≤ 0, y ≥ 0 - Minimize Z = 5x + 7y
Subject to 5x + 7y ≥ 17, 12x + 15y ≥ 28,7x + 9y ≤ 14, x ≤ 0, y ≥ 0
Answer
(A) Minimize Z = 5 x + 7 y Subject to 5 x + 7 y ≥ 17, 12 x + 15 y ≥ 28,7 x + 9 y ≥ 14, x ≥ 0, y ≥ 0
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