A consumer has a daily income of $240 to buy two goods (X, Y). The price of X is $8 and the price of Y is $3. The consumer utility function is given by U(X,Y)= X²Y¹/2 You are also told that his marginal utilities are MUX = 2XY¹/2 MUY = 1. Calculate the optimal quantity of good X and Y for this consumer. 2. Suppose this consumer decides to consume only 25 units of good Y while remaining with the same utility bundle level found in question (1). Find the new level of good X?

ENGR.ECONOMIC ANALYSIS
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PROBLEM 2 (
A consumer has a daily income of $240 to buy two goods (X, Y). The price of X is $8 and the price of Y is $3. The
consumer utility function is given by
U(X,Y) = X2y1/2
You are also told that his marginal utilities are
MUX
= 2XY¹/2
MUy = (X²)
1. Calculate the optimal quantity of good X and Y for this consumer.
2.
Suppose this consumer decides to consume only 25 units of good Y while remaining with the same utility
bundle level found in question (1). Find the new level of good X?
ANSWER
Transcribed Image Text:PROBLEM 2 ( A consumer has a daily income of $240 to buy two goods (X, Y). The price of X is $8 and the price of Y is $3. The consumer utility function is given by U(X,Y) = X2y1/2 You are also told that his marginal utilities are MUX = 2XY¹/2 MUy = (X²) 1. Calculate the optimal quantity of good X and Y for this consumer. 2. Suppose this consumer decides to consume only 25 units of good Y while remaining with the same utility bundle level found in question (1). Find the new level of good X? ANSWER
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