rite the budget equation of the consumer and draw the line of this equation. ii. Using the budget line drawn in (i) show the effect of a 100 percent increase in the price of good X hold the price of good Y and income constant. iii. Using the budget line drawn in (i) show the effect of a 100 percent increase in his income holding the price of both goods constant. iv. What combination of X and Y maximizes the consumer’s utility at I=100, Px = 4 and Py = 5. v. Calculate the marginal rate of substitution between X and Y at equilibrium and interpret your results vi. Suppose all prices double and income is held constant, what is the effect of this on the optimal combination of X and Y? vii. What happens to the optimal combinatio
urgent part 1 2 3
David’s utility function for good X and Y is given by U (x, y) = x2 y3 . Where Px, Py and I are the
i. Write the budget equation of the consumer and draw the line of this equation.
ii. Using the budget line drawn in (i) show the effect of a 100 percent increase in the price of good X hold the price of good Y and income constant.
iii. Using the budget line drawn in (i) show the effect of a 100 percent increase in his income holding the price of both goods constant.
iv. What combination of X and Y maximizes the consumer’s utility at I=100, Px = 4 and Py = 5.
v. Calculate the marginal rate of substitution between X and Y at equilibrium and interpret your results
vi. Suppose all prices double and income is held constant, what is the effect of this on the optimal combination of X and Y?
vii. What happens to the optimal combination of X and Y if price of good X decreases to 2 whiles the price of good Y and income remain unchanged?
Budget line represents different combinations of two goods that can be purchased with given level of income provided the prices of both goods are given.
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