ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- Suppose we are able to model the total utility function for the consumption of two goods, good x and good z. The utility function is structured as U(x, z) = 3x2 + z2 - 2xz. The consumer is faced with the prices of goods x and z. The price for each unit of good x and z is $1 each. The consumer has an income $1 (in thousands). How many units of each good should the consumer consume so as to maximize his/her utility?arrow_forwardA consumer has an income of $400 and is deciding between two products: X and Y. Assume that the X product is the horizontal axis product. The price of X is $10 and the price of Y is $2. Assume the consumer currently wants to consume 50 units of product Y to maximize his utility. a) Write out the equation to this consumers budget line. What is the slope to this budget constraint? b) How much of X and Y will the consumer consume to maximize his utility subject to his budget constraint. C) Now assume the price of X changes to $5 and price of Y and Income stays the same. At the new price, the consumer wants to buy 60 units of product X to maximize her utility given her budget. How much X and Y will the consumer consume to maximize utility. g in the before and after the change of the budget constraint and indifference graph on the same graph space. Show all necessary points. Label clearly. ead oubstitutiofs. Draw d) Write out the expression of the utiiity maximizing ruie here.?arrow_forwardSuppose you had a budget of $20.00 and the prices of a burger and a slice of pizza are $5.00 and $2.00 respectively. What would be your optimal consumption bundle?arrow_forward
- 34) Consider Dianna who has a $25 fast food budget per month. She can purchase salads (S), hamburgers (H), or chicken strips (C). The price of a salad is Ps=$3, the price of a hamburger is PB-$2 and the price of chicken strips is Pc $4. Fill in the table below. You will use your solutions to answer questions 34-36. # Hamburgers # Salads 1 2 2 MU Salads 36 30 c) 4; 3; 4 d) 5; 4; 5 MU/P Salads 1 2 3 4 5 MU hamburgers 5 In the optimal consumption bundle for Dianna, she will purchase chicken strips. a) 2; 1; 2 b) 3; 2; 3 28 22 16 36) Dianna total utility from her consumption bundle is a) 126 b) 504 c) 106 d) 398 MU/P # Hamburgers Chicken Strips T 2 3 7 salads, 4 5 35) Dianna's utility is maximized where the marginal utility per dollar spent on each item is equal to a) $10 b) $12 c) $14 d) $16 MU Chicken Strips 72 64 56 48 40 hamburgers, and MU/P Chicken Stripsarrow_forwardYou like candy and cake. After using your entire $30 budget at the sugar store, you find that the marginal utility from the last candy you consumed was 60 and the last piece of cake was 30. Assuming you have maximized your utility and the price of a piece of candy is $4, calculate the price of cake? Do not enter dollar signs. Answer:arrow_forwardConsider Gary's utility function: U(X,Y) = 5 XY, where X and Y are two goods. If the individual consumed 10 units of X and received 250 units of utility, how many units of Y must the individual consume? 5 25 0 10arrow_forward
- Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b) Why do the average rates of change decrease as x increases? a) The average rate of change of U as x changes from 0 to 1 is. (Type an integer or a decimal.) C Utility (pleasure units) AU 200- 150- 100- 50- 0 (1,67) (2,106) I (3,134) (4,156) 2 Number of units of product 4 Xarrow_forwardNick has $300 a month to spend on either detailing his sports car or buying bottles of good wine. It costs $100 to have his car detailed and a bottle of wine is $50. He currently buys four bottles of wine each month and has his car detailed once. If the price of car detailing decreases to $75, Nick's budget constraint will:arrow_forwardFang likes playing badminton with her friends. Her utility function for playing badminton every week is given by U(t) = 11t – 2t2, where t is measured in hours. They play on a badminton court, which they can rent per hour. Suppose the current price to play on the badminton court is £2.50 per hour. How many hours should Fang play if she wishes to maximise her utility? Explain what we mean by the principle of diminishing marginal utility. Does the principle apply in Fang’s case? Explain why. In a diagram with income in pound sterling on the horizontal axis and quantity on the vertical axis, show the relationship between Fang’s budget and the number of hours that would maximise her consumer surplus.arrow_forward
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