4. Suppose an individual's demand function for good r is a =How many of the following statements are necessarily true?• As the price of good y goes up, this individual will consume less ofgood x.• The demand curve for good r is downward sloping.• The Engel curve for good r is upward sloping.• The price consumption curve (as the price of r changes) is upwardsloping.(a) 0(b) 1(c) 2(d) 3(e) 4

A demand curve is a diagram that represents the connection between the price of an item and the…

Answered: 4. Suppose an individual's demand…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

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3 Question 11 Suppose a consumer's utility is given by: u(x1, x2) = axı + bx₂ Where a= 63, and b = 22 If the price of good 1 is P₁ =$57/unit, the price of good 2 is P2 -$37/unit, and income is I = $423, what is this consumer's optimal consumption level of good 1? (Note: The answer may not be a whole number, so round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully) Question 12
Questions 5 (Demand). The following graph displays Adam's consumption point at a certain level of income. Suppose that x1 is a normal good, x2 is an inferior good, and Adam's income increases. Show this change on the following graph by drawing a new budget constraint and indifference curve. Explain why.
ADVANCED ANALYSIS Let: MUA/PA=ZA = 10 - 1 Instructions: Enter your answers as a whole number. How is the $10 best allocated between A and B? MUB/PB=ZB=21-2y, where z is marginal utility per dollar measured in utils, x is the amount spent on product A, and y is the amount spent on product B. Assume that the consumer has $10 to spend on A and B-that is, x+y=10. Note: Px = $1 and Py = $1. LA on A and $ on B How much utility will the marginal dollar yield? utils Prev 1 of 7 Exit Submit Next > Check my work
5. Suppose the representative consumer has the (quasilinear) utility function: U(x, y) = ax + In(v) where x,y are consumption goods. Denominated in US dollars, the prices of x and y Pi and pz, respectively. (a) What does the term quasilinear mean? Is consumption of x independent of y? (b) Assume the consumer has a budget of C dollars at his/her disposal. What is the maximum utility the consumer may achieve with this budget? (c) What is the minimum expenditure if the consumer wants to derive U,units of utility?
Q1
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.
- Assume an individual has quasilinear preferences of the form U(x1,x2) = 3x1¹2 + 2x2. If the price of Good 1 is $1 and the price of Good 2 is $2, how many additional units will the individual consume of Good 2 if her income increases by $1, assuming we're at an interior optimum? A. B. C. D. The individual's consumption of Good 2 will increase by 1/2 unit. The individual's consumption of Good 2 will increase by 1 unit. The individual's consumption of Good 2 will decrease. The individual's consumption of Good 2 will not change.
Principles of Economics 1 | S1 21/22 Time left 0:5) When the price of one good increases and the price of the other good and income are held constant, the budget line Select one: shifts parallel to the original budget line so that the new budget line is farther from the origin O b. shifts parallel to the original budget line so that the new budget line is closer to the origin rotates so that the intercept is farther from the origin on the axis representing the good that has experienced an increase in price O a. O c. O d. rotates so that the intercept is closer to the origin on the axis representing the good that has experienced an increase in price Next page
8. Fabian consumes X and Y and the following utility function represents his utility: U = 2XY a. With a utility function of U = 2XY, Fabian's MU, = 2Y and his MU, = 2x ,where MU is marginal utility. Write an equation for Fabian's marginal rate of substitution (MRS). b. Suppose Fabian's income is $120 and Px = S6 and Py-$2, where Px is the price of X and Py is the price of Y. Write an equation for Fabian's budget constraint. c. Write the equation that equates the slope of Fabian's budget constraint to the slope of Fabian's indifference curve: d. If Fabian is spending all of his income, how much X and how much Y will he choose? Use the equations you wrote in part's b and c to answer this question. e. What will Fabian's utility be with this combination of X and Y? f. Now suppose the price of X increases to P.=10. Write the equation that equates the slope of Fabian's budget constraint to the slope of Fabian's indifference curve. How will this change the optimal combination of X and Y? What…
2. Lola consumes good x and y, and her marginal rate of substitution is 3/2, regardless of how many units of x and y that she consumes. Assume Lola has an income of $200 and that P-$5. (a.) Find Lola's optimal consumption bundle when px = 6. (b.) Find Lola's demand for x as a function of p,, assuming the price can be any non- negative amount.
2. For the Income-Consumption Line & Engel Curve: (kindly place Good A on the X-axis & Good B on the Y-axis) If the consumer's tastes are given by the Indifference curves schedule and Pa = P1.00, Pb= P1.00 and original budget = P10.00, what happens if budget decreases to P6.00 and then increases to P14.00, assuming that tastes and prices of the two goods are constant. Create the new budget schedules. Plot the 2 new budget lines as well as the original with the 3 indifference curves together and determine the tangency points or LCPC and create the Income- Consumption Line. Create the Engel Curve for each good.
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