A consumer has a weekly income of $132 to spend on food (X) and physical enhancement (Y). The price of good X is $8 and the price of good Y is $2. The consumer utility function is given by U(X,Y)=21X2Y You are also told that his marginal utilities are MUX=XYMUY=21X2 1. Find the marginal rate of substitution, MRSXY(1 mark) 2. Calculate the optimal consumption levels of good X and Y and graph all your findings. (1 mark) 3. Calculate the income share spent on physical enhancement. (1 mark) 4. You are also told when the consumer prefers to consume 15 units of good X, the price of this good drops by 25%. i. Calculate the optimal consumption of good Y. (1 mark) ii. Explain numerically whether the two goods (X, Y) are complements or substitutes. (1 mark) A consumer has a weekly income of $132 to spend on food (X) and physical enhancement (Y). The price of good X is $8 and the price of good Y is $2. The consumer utility function is given by U(X,Y)=21X2Y You are also told that his marginal utilities are MUX=XYMUY=21X2 1. Find the marginal rate of substitution, MRSXY(1 mark) 2. Calculate the optimal consumption levels of good X and Y and graph all your findings. (1 mark) 3. Calculate the income share spent on physical enhancement. (1 mark) 4. You are also told when the consumer prefers to consume 15 units of good X, the price of this good drops by 25%. i. Calculate the optimal consumption of good Y. (1 mark) ii. Explain numerically whether the two goods (X, Y) are complements or substitutes. (1 mark)