u (21, a2) = 2xı +3x2 %3D If the price of good 1 is $4/unit, the price of good 2 is $5/unit, and income is $20... What is this person's optimal consumption level for good 2?
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- 4.An individual consumes products X and Y and spends $30 per time period. The prices of the two goods are $3 per unit for X and $3 per unit for Y. The consumer in this case has a utility function expressed as: U(X.Y) = 0.5XY How much X should this individual consume, given that he is maximizing the utility? ( A) 4.17 ( B) 5 (C)6 D) 6.25Anatoly's marginal utility for DVDS (D) is MU X and his marginal utility for Xbox games (X) is MUx D. Anatoly's income is $120, the price of a DVD is $20.00, and the price of an Xbox game is $10.00. How many DVDS and Xbox games does Anatoly consume to maximize his satisfaction? Anatoly consumesDVDs andXbox games. (Enter your responses using integers.)(c) If the preferences are concave, will the consumer ever consume both of the goods together?
- EXERCISE 7 Aisha is considering how to allocate the next 6 hours of her free time. She could choose between leisure (L) and helping her neighbour with the house chores. If she decides to help her neighbour, she is going to get paid at £25 per hour, which she can then spend on her favourite pizza (P). Suppose the price of pizza is £12.50. Aisha's preferences for leisure and pizza are given by the following utility function: U(L, P) = 3L + P. (MU₁ = 3, MUp = 1). a) Write down Aisha's budget equation and draw the corresponding budget line. Clearly label the axes and calculate the coordinates of the points of intersection of the budget line with each axis. b) Calculate Aisha's marginal rate of substitution between leisure and pizza. Explain the concept of MRS and interpret the figure obtained. c) Find Aisha's optimal consumption bundle, both algebraically and graphically. Explain your reasoning. d) Would Aisha's optimal choice change if she could get a discount on her pizza purchases so…Abigail, Bernard, Cornwallis, and Douglas each derive a distinct amount of utility from consuming apples and bananas. Initially, apples cost $2, bananas cost $1, and each person receives a weekly allowance of $20 to spend. For each of the four sets of preferences described below, calculate the compensating variation if the price of apples rises to $5. (a) (4) Abigail: U(a,b) = a + 2b (b) (4) Bernard: U(a,b) = 2a + b (c) (4) Cornwallis: U(a,b) = b −a (d) (4) Douglas: U(a,b) = min(a,3b)Lee has calculated her marginal utility from buying pizza slices and soda (shown on the table in the worksheet) and wants to use these data to decide how to rationally spend the money she has. The price of pizza is $2.00 and the price of soda is $2.00 question 9 (a) given these prices and your worksheet calculations, what is the first product lee will buy? (b) would lee ever buy four slides of pizza? Why/why not? question 10Given the data in your worksheet, how many pizza slices and sodas lee should buy to maximize her total utility if she rationally spends her budget of 10.00? question 11 when the price of pizza changes, lee's MU/$P changes. If the price of pizza decreases to $1.50 and her budget decreases to $7.50, how many pzza slices and sodas lee should buy to maximize her total utility?
- Donald likes fishing (X1) and hanging out in his hammock (X2). His utility function for these two activities is u(x1, x2) = 3X12X24. (A) Calculate MU1, the marginal utility of fishing. (B) Calculate MU2, the marginal utility of hanging out in his hammock. (C) Calculate MRS, the rate at which he is willing to substitute hanging out in his hammock for fishing. (D)Last week, Donald fished 2 hours a day, and hung out in his hammock 4 hours a day. Using your formula for MRS from (c) find his MRS last week. (E) This week, Donald is fishing eight hours a day, and hanging out in his ham mock two hours a day. Calculate his MRS this week. Has his MRS increased or decreased? Explain why? (F) Is Donald happier or sadder this week compared to last week? Explain.Only typed answer and don't use chat gpt and don't answer in table 2. Charlie consumes apples (A) and bananas (B). His utility function is . The price of apples is $1, the price of bananas is $2, and Charlie’s income is $40. The price of bananas suddenly falls to $1. (a) Before the price change, how many apples and bananas did Charlie consume? (b) After the price change, how many apples and bananas did Charlie consume? (c) If after the price change, Charlie’s income had changed so that he could only attain his original level of utility, how many apples and bananas would he have consumed? (d) What are the magnitudes of the price, substitution, and income effects for the consumption of bananas?A consumer buys Bread (B) and Milk (M) each week at price of 20 and 16 respectively. Suppose that the consumer's current consumption of Bread and Milk is giving him MUBread = 80 and MUMilk = 70. Is the consumer buying the utility-maximizing combination of bread and milk? If not, how should he reallocate his expenditures between the two goods to maximize utility? Draw diagram and explain.
- Sarah has a budget of 58. Her utility function if U(x,y) = x*y. %3D The price of good x is 1, the price of good y is 8. How many units of good x does Sarah consume? Answer: Type here to search 01/Only typed answer Oscar makes purchases of an existing product (X) such that the marginal utility of the last unit he consumes is 10 utils and the price is $5. He also tries a new product (Y) and the marginal utility of the last unit he consumes is 8 utils and the price is $1. The equal marginal principle suggests that Oscar should Multiple Choice increase his consumption of product X and decrease his consumption of product Y. increaseHow can one's choice of purchases/consumption be infuenced by utility or marginal utility?