ENGR.ECONOMIC ANALYSIS
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ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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10. which of the utility function U=5x+3y^2. the indifference
@) will have a constant marginal rate of substitution of x for y as x increases.
B) will have an increasing marginal rate of substitution of x for y as x increases.
please explain
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- Question 2 Matt considers Butter (B) and Sour Cream (S) as substitutes. His utility function has the form u(B, S) = βB + S, where β > 0. Suppose the price of Butter is PB = 3, the price of Sour Cream is PS = 2, and Matt has an income of M = 100 dollars to spend between Butter and Sour Cream. (a) In a well labelled diagram, draw Matt’s indifference map, putting Butter on the x-axis and Sour Cream on the y-axis. Make sure to indicate the direction in which the indiffference curves increase. (b) In a well labelled diagram, draw Matt’s budget set indicating the intercepts with the axes and the slope of the budget line. (c) Obtain the Marginal Rate of Substitution between Butter and Sour Cream. What would happen to the MRS if Matt doubles his consumption of Butter and Sour Cream? (d) Obtain Matt’s optimal bundle when: – β > 3/2 – β < 3/2 – β = 3/2 (e) Now, suppose that the price of butter changes, whereas the price of sour cream and Matt’s income remain the same. The new price of…arrow_forward1) Use the graph below to explain why, if all assumptions about preferences are met, thick indifference curves are not possible. Hint: take two points (bundles) on the graph. >X1arrow_forward1.5) For any two goods (things you would like more of): Select one or more: Indifference curves are downward-sloping. Indifference curves can sometimes cross. Indifference curves can have straight line sections. Indifference curves cannot have kinks.arrow_forward
- 2)Ben is choosing between cookies and soda. Denote the marginal utility of cookies is MUc, and the marginal utility of soda is MUs. Which of the following relationship is true regarding the marginal utility of substitution (MŘS) of cookie in terms of soda? A) MRS= MUc B) MRS = MUS C) MRS = MUS / MUC D) MRS = MUc / MUsarrow_forwardSuppose the preferences of an individual are represented by a quasilinear utility function: U(x, y) = In(x) + 3y a) Initially, Px=1, Py=6 and 1=102. Then, the price of x increases to 2 (Px=2). Calculate the changes in the demand for x. Please also calculate the substitution and income effects of the change in Px on x. (Hint: since the change in price is not small, you cannot use the Slutsky equation. You need to have numbers instead of functions as the answer.) B)Please also calculate the substitution and income effects of the change in Pr on y. C) Instead of doubling to 2, suppose Px is only increased by a small amount. Use the Slutsky equation to find the substitution and income effects of the change in the price of x on x. Compare your result to (a). Explain why there's no income effect of the change in Pa On X. Show your result on an indifference curve. d) Use the Slutsky equation to find the substitution and income effect of the change in Px on y. Compare your result to (b).arrow_forwardsolve g, h please Thank youarrow_forward
- Question is in attached image, Thank you!arrow_forwardSuppose that the following utility function is given U(x,Y) = x+Y Which of the following is соrect? We have non-convex preferences since Law of diminishing Marginal Rate of Substitution holds and indifference curves are bowed inward towards the origin We have convex preferences since Law of diminishing Marginal Utility holds and indifference curves are bowed outward from the origin We have convex preferences since Law of diminishing Margina Rate of Substitution holds and indifference curves are bowed inward towards the origin We have convex preferences since Law of diminishing Marginal Rate of Substitution fails to hold and indifference curves are bowedinward towards the originarrow_forward3. The utility that Elena receives by consuming food F and clothing C is given by U(F, C) = FC + F. Food costs £1 per unit, and clothing costs £2 per unit. Elena's income is £22. MUF = C+1 and MUc = F. (i) Define the term Marginal Rate of Substitution (MRS) (ii) Find the utility maximizing values of C and F for the numerical values given above (Hint: You can assume interior solution). (iii) Now suppose that price of C and Elena's income remain unchanged at £2 per unit and £22, respectively, while the price of F varies. Find the equation of the demand for F as a function of the unit price of F (PF).arrow_forward
- No chatgpt answerarrow_forwardFind Kramer's marginal rate of substitutionarrow_forwardTwo points on an indifference curve that displays a diminishing marginal rate of substitution between apples and oranges are: (10 apples and 2 oranges), (8 apples and 4 oranges). Which of the following combinations of apples and oranges could lie on this indifference curve? OA. 10 apples and 6 oranges OB. 6 apples and 9 oranges OC. 9 apples and 4 oranges OD. 8 apples and 3 oranges.arrow_forward
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