An increase in price of good 1 will increase the relative price of good 1 and decrease the relative price of good 2, which will increases the demand of good 2.
when P1 increases real income decreases and then demand of good 2 increases because good 2 is an inferior good .
Thus demand of good 2 increases due to substitution and income effect and they work in the same direction
A consumer only consumes two commodities, x1 and x2. If x2 is an inferior good, and...
A consumer only consumes two commodities, x1 and x2. If x2 is an inferior good, and if p1 goes up, do the resulting Income and Substitution Effect on good 2 work in the same direction as each other, or in opposite directions of each other?
A preference-maximising consumer consumes two commodities. The prices of the commodities are denoted by p1 and p2, and the consumer’s income is denoted by I. The indirect utility function of the consumer is: V (p1, p2, I) = I2/4p1(p2 − p1) . Find the underlying utility function that would have generated it.
] Consider a preference-maximising consumer who consumes two commodities. The preferences of the consumer are given by the utility function U(x1, x2) = x1. Find the demand functions for the goods.
Consider a preference-maximising consumer who consumes two commodities. The preferences of the consumer are given by the utility function U(x1, x2) = x1. (a) Comment on the homotheticity of the consumer’s preferences.
Consider a preference-maximising consumer who consumes two commodities. The preferences of the consumer are given by the utility function U(x1, x2) = x1. (a) Comment on the monotonicity and convexity of the consumer’s preferences.
The utility function is u = x1½ + x2, and the budget constraint is m = p1x1 + p2x2. Derive the optimal demand curve for good 1, x1(p1, p2), and good 2, x2(m, p1, p2). Looking at the cross price effects (∂x1/∂p2 and ∂x2/∂p1) are goods x1 and x2 substitutes or complements? Looking at income effects (∂x1/∂m and ∂x2/∂m) are goods x1 and x2 inferior, normal or neither? Assume m=100, p1=0.5 and p2=1. Using the demand function you derived in...
Consider a two good world, with commodities X and Y. If Y is an inferior good, then an increase in consumer income cannot a. Decrease the demand for Y B. Decrease the demand for X c. Increase the demand for X d. Make the consumer better of
Q1. Sam consumes two goods x1 and x2. Her utility function can be written as U(x1,x2)=x 1raised to 2/3 and x 2 raised to 1/5 ⁄. Suppose the price of good x1 is P1, and the price of good x2 is P2. Sam’s income is m. [20 marks] a) [10 marks] Derive Sam’s Marshallian demand for each good. b) [5 marks] Derive her expenditure function using indirect utility function. c) [5 marks] Use part c) to calculate Hicksian demand function...
The demand curve for potatoes is downward sloping. If the price of potatoes, an inferior good, rises, then a. both the income and substitution effects reinforce each other to decrease the quantity demanded. b. the income and substitution effects offset each other but the price effect of an inferior good leads you to buy more potatoes. c. the income effect (which causes you to reduce your potato purchases) is smaller than the substitution effect (which causes you to increase your...
1. Consider the utility function: u(x1,x2) = x1 +x2. Find the corresponding Hicksian demand function 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b)...