a) Yes, the consumer will consume less of good x because the budget line will pivot inward. So, the original budle is not affordable now.
b) The required income should be 15(10)+10(10)=250.
c) No, since that was affordable when the situation was of part a) but that was rejected.
d) This is shown by point b in the diagram.
4. Suppose that the consumer initially chooses x-10, y 10 when Px-Pr-10, m-200. (a) Someone says...
2. (24 points) Suppose a consumer has preferences represented by the utility function U(X,Y)- X2Y Suppose Py, and the consumer has $300 to spend. Draw the Price-Consumption Curve for this consumer for income values Px-1, Px 2, and Px- 5. Your graph should accurately draw the budget constraints for each income level and specifically label the bundles that the consumer chooses for each income level. Also, for each bundle that the consumer chooses, draw the indifference curve that goes through...
Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $180 to spend, and the price of X, PX = 4.50, and the price of Y, PY = 2 a. How much X and Y should the consumer purchase in order to maximize her utility? b. How much total utility does the consumer receive? c. Now suppose PX decreases to 2. What is the new bundle of X and Y that the consumer will demand?...
Consider the following utility function of 3 goods, x, y and z: U(x,y,z)=ax+by+cz; x,y,z≥0 and a, b, c are constants. The prices of good x and y is denoted by pX and pY respectively. The income is denoted by m. Good z is provided by the government free of cost but the quantity of good z provided by the government depends on the consumption of good x and y chosen by the consumer. For example, if in equilibrium, the consumer...
1. (24 total points) Suppose a consumer’s utility function is given by U(X,Y) = X1/2*Y1/2. Also, the consumer has $72 to spend, and the price of Good X, PX = $4. Let Good Y be a composite good whose price is PY = $1. So on the Y-axis, we are graphing the amount of money that the consumer has available to spend on all other goods for any given value of X. a) (2 points) How much X and Y...
2. equal amounts of both ged n ede e m Prudence was maximizing ber vility bje her n change she was better off. Therefore he ew th did.( 3. ff consumer 1 has the demand functiom,1,0o0-3p o 3 ha d - 500-p. then fon the If the price of cucumbers falls by $2 per pond, then the demand for eu ers wi rise try 10 p Therefore we can conclude thsat the demand for esacun ers is siantis aggregate Consumers...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4) Denote the price of good X by Px, price of good Y by Py and the income of the consumer by I. a) (2 points) Write down the budget constraint for the individual. b) (4 points) Derive the marginal utilities of X and Y. c) (3 points) Derive the expression for the marginal rate of substitution of X for Y. Write down the tangency...
1. Consumer’s utility function is: U (X,Y) = 10X + Y. Consumer’s income M is 40 euros, the price per unit of good X (i.e. Px ) is 5 euros and the price per unit of good Y (i.e. Py) is 1 euro. a) What is the marginal utility of good X (MUx) for the consumer? ( Answer: MUx = 10) b) What is the marginal utility of good Y (MUy) for the consumer? ( Answer: MUy = 1) c)...
1. Suppose that when the price of a good is s15, the quantity demanded is 4o units, and when the price falls to s6, the quantity increases to 6o units. The price elasticity of demand near a price of s6 and a quantity of 60 can be calculated as: A) -5/6 C)-2/9 B)-2 D) -9/2 2. Which of the following statements is true? A) The price elasticity of demand is positive when there is an inverse relationship betweern price and...
Suppose that there two goods, X and Y , available in arbitrary nonnegative quantities (so the the consumption set is R 2 +). The consumer has preferences over consumption bundles that are monotone, strictly convex, and represented by the following (differentiable) utility function: u(x, y) = α √ x + (1 − α) √ y, where x is the quantity of good X, y is the quantity of good Y , and α ≥ 0 is a utility parameter. The...
Can you answer these questions?
11. Suppose that MUr/Pr exceeds MUyl/Py. To maximize utility the consumer who is spending all her money income should buy A. less of X only if its price rises. B. more of Y only if its price rises. C. more of Y and less of X. D. more of X and less of Y 12. In purchasing products A and B, a consumer is in equilibrium when: 13. The diamond-water paradox atises because: A. essential...