Question

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 :

Of the following, which group of constraints represents the feasible region given below?

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.

The number of corner points of the feasible region determined by the constraints x − y ≥ 0, 2y ≤ x + 2, x ≥ 0, y ≥ 0 is :