Consider the utility function where q1 and q2 are the quantities of two commodities o...........

Economics-I Mathematical Methods in Economics

Consider. the utility function $\small u = \sqrt{q_{1}q_{2}}$ where q₁ and q₂ are the quantities of two commodities on which the consumer spends his monthly income Rs 5,000. If the price per unit of q₁and q₂ be Rs 50 and Rs 20 respectively, find out the optimal quantities of q₁ and q_2.(150 words) (15 Marks)