$4$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. 2024_CBSE_Mathematics_Set_Region2_Subset_Set1_Q37___p11_7

2024_CBSE_Mathematics_Set_Region2_Subset_Set1_Q37___p11_7

Figure-1 Figure-2 A dietician wishes to minimize the cost of a diet involving two types of foods, food $\displaystyle \mathrm{X}(\mathrm{x} \mathrm{kg})$ and food $\displaystyle \mathrm{Y}(\mathrm{y} \mathrm{kg})$ which are available at the rate of $\displaystyle ₹ 16 / \mathrm{kg}$ and $\displaystyle ₹ 20 / \mathrm{kg}$ respectively. The feasible region satisfying the constraints is shown in Figure-2. On the basis of the above information, answer the following questions : (i) Identify and write all the constraints which determine the given feasible region in Figure-2. Case Study - 3

Mathematics · Linear Programming