A consumer faces prices p₁=1.p₂=3. The Marginal Rate of Substitution has the following expression: MRS=- O a. x₁=30₂x₂=30 O b.x₁ = 10₁.x₂ = 30 O c. x₁ = 30,x₂ = 10 O d. x₁ = 10,x₂ = 10 O e. Cannot answer without additional information on preferences Which of the following consumption plans can be optimal for some income level?
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- It is given that the price of goods X and Y are both Rs.10 each, a consumer consumes 10 units of X and 10 units of Y at equilibrium.a. Draw the budget line and indifference curve and show the point of consumer equilibrium. b. If the price of X falls to Rs.5, PY and money income remaining the same, what is the real income increase?c. At the new equilibrium caused by a fall in price of X, the consumer has a combination of 16 units of X and 12 units of Y. Show the price effect of a change in price of X using the PCC.d. Why are more units of Y consumed even though its price has not fallen?A consumer has an original income M to spend on goods X and Y. The market price of these two goods are Px=$10 and Py=$25. Based on the information given in the graph above: 1. Determine the consumer income M. 2. Determine the market rate of substitution between goods x and y? give an interpretation of your answer. Now assumer that the consumer income increases to a new level M' but the prices stay the same. Based on the information given in the graph above: 3. Determine the increased income M'. 4. Does the increase in the consumer income increase the market rate of substitution? Explain your answer.Q7. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. In Case 1, Total income is $100 In Case 2, Total income increases to $120For both cases per unit prices of Food (F) and Cloth (C) are $2 and $10, respectively. Find the following for both cases, and contrast Case 2 with Case 1:a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e. (F*, C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space (draw both case budget lines and point of optimality on one diagram)
- For Jones, X and Y are perfect substitutes, and he is always willing to substitute 6 units of X for 2 units of Y. The price per unit of X is $5, and the price per unit of Y is $15. Jones’s income is $60. Compute the slope of Jones’s budget line and how many units of X does Jones consume? Suppose that the price of X increases to $10, and everything else remains the same. How many units of X does Jones consume? At which price does the demand curve of X become horizontally flat?For this question, assume that indifference curves are strictly convex, consumption andleisure are normal goods, and the optimal amounts of consumption, leisure, and labor arealways positive. A wage increase ______. (SE = substitution effect; IE = income effect)(a) increases labor supply via the SE and decreases labor supply via the IE(b) decreases labor supply via the SE and decreases labor supply via the IE(c) increases labor supply via the SE and increases labor supply via the IE(d) decreases labor supply via the SE and increases labor supply via the IE(e) Can’t tell without knowing the utility functionHello, I need assistance in working this through, step by step. I understand the MRS concept, but need help in the algebra to solve it Given the following utility function: U = 100X0.25Y0.25 and marginal rate of substitution: MRS = −0.25Y0.25X A consumer facing the following prices: Px =$10, Py= =$2 chooses to consume: 5 units of good X and13units of good Y. Given this consumption bundle, the marginal rate of substitution is equal to -??(Round your answer to two decimal places. Note that the minus sign is already included.). Given this value, the consumer should consume ▼ more Y and less X the same amount of X and Y more X and less Y in order to maximize his/her utility.
- Given an individual’s current consumption patterns, we know that the person is consuming in such a manner that he is maximizing his satisfaction. Given a decrease in the price of one of the goods he normally purchases, what will happen to the consumer’s total satisfaction and to the marginal utilities connected with the consumption of this particular good. a) His overall satisfaction will increase, but his satisfaction from the last unit consumed of the good with a decreased price will decrease. b) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will decrease. c) His overall satisfaction will increase and his satisfaction from the last unit consumed of the good with a decreased price will increase. d) His overall satisfaction will decrease and his satisfaction from the last unit consumed of the good with a decreased price will increase. e) We cannot tell about the changes in his total utility or his marginal…Question 1 Consider an economy with two goods t = 1, 2. Whenever an individual consumes x1 units of good 1 and x2 units of good 2, their utility is given by u(x1 ,x2 ) = lnx1 +δlnx2 , where δ is a parameter taking values 0 < δ < 1. (i) How does the parameter δ affect the marginal rate of substitution between goods 1and 2? Explain intuitively how does the relative preference for goods 1 and 2 change as the parameter δ increases.Consider a consumer who wants to consume only two commodities and has an income of $250. Assume the price of good 1 is $25 per unit and the price of good 2 is $50 per unit. Now, inflation causes the price of good 1 to increase to $30 per unit, while the price of good 2 increases to $60 per unit. On the other hand, the consumer also gets a raise of $110 (so her new income is $360). What will happen to the consumption bundles (x₁, x₂)? How much units will increase for both x₁ and x₂?
- Ma1. Please give only typed answer. Assume the following expendiexpenditure function. (a) Interpret this function. In particular, what will happen to the optimal expenditure, if the consumer wanted to maintain a high level of utility? (b) Calculate Hicks demand for good 2. (c) Suppose that p1 = 1, p2 = 1 and that U = 28. Calculate and interpret the variation compensation if the price of good 2 increases by $1.Suppose a consumer has a monthly income of m = 100 which she spendson two commodities: french fries (x1) and beef jerky (x2). The price offrench fries is p1 = 2 and the price of beef jerky is p2 = 5. (e) What is the slope of the budget line? Provide an economicinterpretation of this number.(f) Because of Mad Cow Disease, the price of beef jerky increasesto $10 (lower supply of beef). On a new graph, plot the originaland new budget constraint clearly identifying how the budgetconstraint has changed. What is the new relative price of beefjerky in terms of french fries?(g) Because of severe shortages, Congress passes the Jerky ReliefAct which limits each consumer to purchase at most 5 packs ofjerky. Show on a graph how this affects the consumer’s budgetset. Answer all three.Katie Kwasi's utility function is U(x₁, x₂)=5(In x₁)+x₂. Given her current income and the current relative prices, she consumes 10 units of x₁ and 15 units of x₂. If her income doubles, while prices stay constant, how many units of x₁ will she consume after the change in income? a)10 b)20 c)15 d)5