Suppose that the total utility (TU) from consuming (C) per consumption quantity is defined as: TU = AX Ca (a) Let A=25 and a = 1/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them (b) Let A=50 and a = 1/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them (c) Let A=25 and a = 3/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them

Suppose that the total utility (TU) from consuming (C) per consumption quantity is defined as: TU = AX Ca (a) Let A=25 and a = 1/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them (b) Let A=50 and a = 1/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them (c) Let A=25 and a = 3/4, using Excel to obtain total utility (TU) and Marginal Utility (MU) and graph them

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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PROBLEM (4) You have the Cobb-Douglas utility function u(x, y) = xy over apples (x) and plums (y) and you have $120 budget to spend and can carry at most 480 ounces in weight in your backpack going back to the dorm. Each apple costs $1 and weighs 8 ounces, and each plum costs $3 and weighs 4 ounces. You can only leave the store with a bundle of fruits you can afford and carry. (a) Drawing the relevant lines, intercepts, marking the points and hence identifying the feasible set of bundles, calculate the optimal bundle. (b) Forget about (a). If you were to choose a backpack before going on this shopping trip, for the weight constraint not to be an issue for you, how many ounces of weight capacity would you need for your backpack? HINT: That is, for this weight capacity of the backpack, you'd be able to carry the best bundle you can afford, i.e, the weight constraint is not binding for your decision. (c) Forget about (b). In (a), just before going out for shopping with your backpack to…
Rhea is determining how many gallons of milk (M) and loaves of bread (B) to purchase. Use the information in italics to answer the bolded question below: Rhea's marginal utility function for milk: MUN • Rhea's marginal utility function for bread: M = 0.5M-2 MUB = 0.5MB-1/2 • Rhea has $60 to spend on bread and milk. • The price of milk (Pm) is $3/gallon of milk. • The price of bread (Pb) is $1/loaf of bread. • For the sake of computation, assume that bread is the horizontal axis good (i.e., good X) and milk is the vertical axis good (i.e., good Y). When you set up the optimal budget decision rule for Rhea's consumer problem, which of the following statements best describes how much she will buy of both goods at her consumer equilibrium? O For each gallon of milk, Rhea will buy 1/3 loaf of bread. O For each gallon of milk, Rhea will buy 3 loaves of bread. For each gallon of milk, Rhea will buy 1 loaf of bread. O For each gallon of milk, Rhea will buy 6 loaves of bread.
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Answer the following questions using the following information. Columns 1 and 2 in the table below show the marginal utility that Cody gets by purchasing products A and B. Column 3 shows the marginal utility Cody gets from saving Assume that the price of A is $13 the price of B is $10, and Cody has an income of $129. a) Find the following series of MU/$ for each column. Note: Keep as much precision as possible during your calculations. Your final answer should be accurate to at least two decimal places Column 1 Column 2 Column 3 Units of A MU MU/S Units of B MU MU/$ Number of $ saved MU MU/S 68 6.8 1 80 6.15 1. 13 0. 2 71 5.46 2 63 6.3 2 10 0. 3 66 5.08 3 56 5.6 3 7 4 61 4.69 4. 46 46 0. 54 4.15 40 4 45 3.46 31 3.1 6. 1 39 3 22 2.2 0. 29 2.23 8 17 1.7 8 b) What quantities of A and B will Cody purchase in maximizing his utility? Quantity of A: 0 Quantity of B: 0 c) How many dollars will Cody save? Dollars Saved = $0 SAVE AND CLOSE
Q.3. Suppose a student has monthly income of Rs 10,000. He consumes only two commodities Sandwich and Shawarma. The cost of Sandwich is Rs 50 each, and the cost of Shawarma is Rs 100 each.a) Draw the student’s budget constraint. What is the slope of his budget constraint? b) Suppose student gets a raise, so his income increases from Rs 10,000 to Rs 12,000. Show what happens to consumer optimal consumption choice if both Sandwich and Shawarmaare normal goods. Now show what happens if Sandwich is an inferior good.c) Suppose consumer income decreases to Rs. 8,000. Show what happens if both Shawarmaand Sandwich are normal goods. Now show what happens if Sandwich is an inferior good.
Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+S (b) U(F, R, S) = /2FR+S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = v2F + RS
Question 22: Kathy gets utility from three things: the number of flowers in her local park (F), reading books in this park (R), and eating sushi (S). Four utility functions that might describe Kathy's preferences are shown below. In each case, discuss whether reading in the park (R) is non-essential and whether reading (R) and the number of flowers in the park (F) are weak complements. [medium] (a) U(F, R, S) = 2FR+ S (b) U(F, R, S) = /2FR+ S (c) U(F, R, S) = (V2FR)S (d) U(F, R, S) = /2F+ RS
Let u(x) be a utility function that represents the preferences of a household. We say that the function v(x) is a monotonic transformation of u if f(·) is a strictly increasing function and v(x) = f(u(x)). (a) Show that if v(x) is a monotonic transformation of u, it represents the same preferences. (b) Can you explain why taking a monotonic transformation of a utility function does not change the marginal rate of substitution? (c) What kind of preferences are represented by a utility function of the form U(x1,x2) = ? What about the function U(x1,x2) = 13x1+13x2?
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Suppose you are on a three-day trip to Rome (from Monday to Wednesday) and during your stay you decide to consume only Waffle and Ravioli (measured on the horizontal and vertical axes respectively). You have a given amount of money (some constant) to spend on each of the three days. Suppose that the price of Waffle rises between Monday and Tuesday. If your optimum points of consumption on Monday and Tuesday are respectively called M and T, such that M to the left of T, what does it say about both the commodities? Illustrate your answer using an appropriate diagram.
EXERCISE 5 Loise spends £20 on tea (T) and coffee (C). Her preferences for these goods can be described by the following utility function: ( , ). Suppose that one cup of tea costs £1.60 while one cup of Loise’s favourite coffee costs £4.00. Find Loise’s optimal consumption bundle. Provide both algebraic and graphical solution. Explain your reasoning. Discuss how Loise’s optimal consumption choice would change when her disposable budget changes. If the price of tea increases to £2.00 per cup, how should the price of coffee change so that Loise can be as well off as before this change in prices? Discuss the implications of the price change from c) on Loise’s optimal choice. In your discussion, include the analysis of the substitution and income effects as well as Loise’s demand for tea and/or coffee.
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