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The month of September is celebrated as the Rashtriya Poshan Maah across the country. Following a healthy and well-balanced diet is crucial in order to supply the body with the proper nutrients it needs. A balanced diet also keeps us mentally fit and promotes improved level of energy. A dietician wishes to minimize the cost of a diet involving two types of foods, food X (x kg) and food Y (y kg) which are available at the rate of ₹ 16/kg and ₹ 20/kg respectively. The feasible region satisfying the constraints is shown in Figure-2. On the basis of the above information, answer the following questions :
Solve the following linear programming problem graphically : Minimise Z = 6x + 7y subject to constraints x + 2y ≥ 240, 3x + 4y ≤ 620, 2x + y ≥ 180, x, y ≥ 0.
Solve the following Linear Programming Problem graphically: Maximize: P = 70x + 40y subject to: 3x + 2y ≤ 9, 3x + y ≤ 9, x ≥ 0, y ≥ 0
Solve the following L.P.P. graphically : Maximise Z = x + 3y subject to the constraints : x + 2y ≤ 200 x + y ≤ 150 y ≤ 75 x, y ≥ 0
Solve the following linear programming problem graphically: Maximize Z = 4500x + 5000y Subject to constraints x + y ≤ 250 25x + 40y ≤ 7000 x ≥ 0, y ≥ 0
Solve the following Linear Programming Problem graphically : Maximise Z = 600x + 400y subject to the constraints x + 2y ≤ 12 4x + 5y ≥ 20 2x + y ≤ 12 x, y ≥ 0
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