7. [5 points] Let a consumer's utility function be U(x, y) = VVg. The consumer's income is I = 3, 200 and prices for the two goods are, respectively, p = 2 and p, = 8. %3D (a) Write down the utility maximization problem and compute the optimal consumption basket. (b) Suppose the price of good y decreases to p, = 2. Compute the new optimal consumption basket. (c) Compute and represent graphically the substitution, income and total (price) effects. Is good y ordinary or Giffen for the consumer, and why?
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- 10) Suppose that the utility function of an individual can be described as U(X,Y) = 4X +2Y. For this utility function the MRSA) is always X*YB) is always constantC) is always X/YD) is always X+YE) is always X-Y.27. If you have Marginal utility of 2 with a Total utility equals to 56, then when marginal utility is reduce to zero while Total utility remains the same, what does it mean? a. at 56 utils of MU equals zero, utility begins to gain momentum b. at 56 utils of MU equals zero, utility begins to diminish c. at 56 utils of MU equals zero. utility begins to increase d. at 56 utils of MU equals zero, utility begins to upswing#10. Assume that Thomas can afford to buy as many candy bars and ice cream cones as he wants. He would continue to consume both candy bars and ice cream until the a. marginal utility of each decreases. b. marginal utility of each becomes negative. c. total utility of each becomes negative. d. marginal utility of candy bars and ice cream bars is equal. e. total utility of candy bars and ice cream bars is equal.
- Exhibit 1 Total Utility for Hamburgers, Fries, and CokesTotal Utility from Hamburgers Total Utility from Fries Total Utility from Coke 1 hamburger (100 utils) 1 order of fries (30 utils) 1 Coke (40 utils) 2 hamburgers (180 utils) 2 orders of fries (50 utils) 2 Cokes (60 utils) 3 hamburgers (240 utils) 3 orders of fries (60 utils) 3 Cokes (70 utils) 3- In Exhibit1 assume that the price of hamburgers is $2 each, fries cost 50 cents each, and Cokes cost $1 each. What is the marginal utility of having a second order of fries? In Exhibit 1, assume that the price of hamburgers is $2 each, fries cost 50 cents each, and Cokes cost $1 each. Suppose the consumer has $6 to spend on hamburgers, fries, and Cokes. Which of the following meals gives the consumer the mostutility? Given a…7) Suppose that upon solving for optimal bundles of hamburgers and french fries, we determine that when the price of hamburgers is $5 and the price of fries is $2, that we consume 2 hamburgers and 5 orders of fries. Suppose further that, upon changing the price of fries to $4, we only consume 3 orders of fries. Draw out a demand curve for fries, labeling two points. This is not a trick question, this one is supposed to be easy.2. Consider a consumer who purchases two goods, x and y. The consumer’s utility function is U(x, y) = xy. Assume initially that the consumer’s income is $160, the price of x is Px= $8, and the price of y is Py= $1.a) Find the utility maximizing bundle of x and y.b) Find the total utility at the utility maximizing bundle.c) Now assume the price of x decreases to $4. Re-compute the values from part a) at the new price.
- Question 10 If look at the indifference curves and budget constraint for two goods, X and Y, we can find a new points on a consumer's demand curve for good X by Group of answer choices shifting the budget constraint so that both intercepts change. pivoting the budget constraint so that the Y-intercept stays put, but the X intercept changes. pivoting the budget constraint so that the X-intercept stays put, but the Y intercept changes. keeping the budget constraint the same, but changing the indifference curve.RM2 1. Assume Good X and Good Y are perfect complements and both are normal goods. Suppose the price of X increases while the price of Y remains unchanged. On a preference map, a. demonstrate the change in the optimal consumption bundle. b. On a separate graph, decompose the substitution effect and the income effect.7. A consumer has preferences for coffee and pancakes that are complete, continuous, transitive, monotonic, and convex. At her current consumption bundle on the budget line, you could take away a maximum of 2 cups of coffee if you give her 5 extra pancakes without changing her utility. The price of a cup of coffee is $4, and the price of a pancake is $1. Assume you graph pancakes on the X-axis and coffee on the Y-axis. At the current consumption bundle, the bang per buck is higher for pancakes than coffee, and the consumer’s indifference curve is flatter than her budget line. a. True b. False Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- part 3 4 5 Suppose Joan has a fixed income of 1000 and spends the entire income on commodity X and Y. The prices of commodity X and Y are 5 and 10 respectively.(i) Derive the consumer’s budget equation and sketch the line of this equation plotting Y on the vertical axis and X on the horizontal axis.(ii) What is the slope of the budget line (i) and what does it mean?(iii) Assuming income and price of X remain the same, show the effect of a 50 percent reduction in the price of Y on the consumer’s budget line.(iv) Show the effect of a 100 percent increase in income and a 50 percent reduction in prices on the consumer’s budget line.(v) If Joan’s U = X2Y2find the optimal bundle of X and Y that maximises Joan’s utility.True or false with reasoning: 1) _______When we claim that utility can be ordinally measured, we assume that the consumer is able to measure the total and marginal utility received when one extra unit of a commodity is consumed. 2)_______If MRS between two goods is constant, then having more of one good without having more of the other does not increase utility. 3)_______Marginal Utility increases until total utility is at a maximum and then marginal utility decreases.15. The assumption that preferences are complete requires the consumer:(a) To rank any two bundles(b) To say bundle C is preferred to bundle A if bundle B is preferred to bundle A andbundle C is preferred to bundle B(c) To rank a bundle with more units of all goods higher than a bundle with fewer unitsof all goods(d) To have a diminishing marginal rate of substitution