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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 :
The feasible region of a linear programming problem is shown in the figure below : Which of the following are the possible constraints ?
Aman has ₹1500 to purchase rice and wheat for his grocery shop. Each sack of rice and wheat costs ₹180 and ₹120 respectively. He can store a maximum number of 10 bags in his shop. He will earn a profit of ₹11 per bag of rice and ₹9 per bag of wheat.
Two different types of books have to be stacked in the shelf of a library. The first type of book weighs 1 kg and has a thickness of 6 cm. The second type of book weighs 1·5 kg and has a thickness of 4 cm. The shelf is 96 cm long and can support a maximum weight of 21 kg. How should both the types of books be placed in the shelf to include the maximum number of books? Formulate a Linear Programming Problem and solve it graphically.
Which of the following are the possible constraints ?
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