6 To find the Marshallian quantities demanded given that the utility function is: x subscript 1 superscript 3 over 4 end superscript space x subscript 2 superscript 1 fourth end superscript. The individual's budget is BGN 12, the price of the first product is BGN 3, and the second product BGN 2. x1 = 3;x2=2 x1 = 3; x2=1.5
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- Answer the question on the basis of the following two schedules, which show the amounts of additional satisfaction (marginal utility) that a consumer would get from successive quantities of products G and H. Units of G MUG Units of H MUH 1 36 1 70 2 33 2 60 3 27 3 55 4 21 4 45 5 18 5 30 6 12 6 25 7 6 7 15 If the consumer has a budget of $29 and the prices of G and H are $3 and $5, respectively, the consumer will maximize their utility by purchasing Multiple Choice 3 units of G and 4 units of H. 4 units of G and 2 units of H. 1 units of G and 5 units of H. 2 units of G and 5 units of H.I need asnwers of e,f,g Assume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and his budget constraint is px*x +y = m, which implies py = 1. a.Please derive the Marshallian demand function of x. b.Please derive the indirect utility function. c. Please derive the expenditure function If originally m = 40, px=2. d. What is his original highest utility level? Now px has decreased to 1, m and py do not change. e. What is his new maximum utility level? f. Based on (c) (d) and (e), what is his compensating variation? g.Based on (c) (d) and (e), what is his equivalent variation?A maximizing consumer with preferences given by u = x^2+ y^2 allocates 60 dollars of income at pY= 3 and pX= 4. Provide an indifference curve and budget line diagram to illustrate and quantify her utility-maximizing choice a Bundle A. Next month the price of good x will fall to pX= 2. Update your diagram to show the Hicksian compensating and equivalent variations for this price change as Bundles B, C, and D.
- Let Utility be given by U(x, y) = x2y2 With a budget contraint pxx + pyy = y Let px = 10 Let py = 2 y = 100 A) Walk through the optimization process and identify the optimal choice for this consumer in both x and y (Hint: the MUx = 2xy2 and MUy = 2x2y How much utility is this consumer receiving by consuming the optimal level of x and y? Use your answer in part b,the information from this problem, and excel to draw the budget constraint and the indifference curve at the optimal choice of x and y.Let Utility be given by U(x,y)=x^2 y^2 With a budget contraint p_x x+p_y y=Y Let px = 10 Let py = 2 Y = 100 Walk through the optimization process and identify the optimal choice for this consumer in both x and y (Hint: the MUx = 2xy2 and MUy = 2x2y) How much utility is this consumer receiving by consuming the optimal level of x and y? Use your answer in part b,the information from this problem, and excel to draw the budget constraint and the indifference curve at the optimal choice of x and y.I need asnwers of f,g Assume there is consumer, his utility function is u(x,y) =8 * x0.5+y , and his budget constraint is px*x +y = m, which implies py = 1. a.Please derive the Marshallian demand function of x. b.Please derive the indirect utility function. c. Please derive the expenditure function If originally m = 40, px=2. d. What is his original highest utility level? Now px has decreased to 1, m and py do not change. e. What is his new maximum utility level? f. Based on (c) (d) and (e), what is his compensating variation? g.Based on (c) (d) and (e), what is his equivalent variation?
- A consumer consumes two goods and her utility is form by Cobb-Douglas utility function. Her MRS is 0.9 * (q2/q1) Using these information find Marginal utility levels of first amd second goodsFrank spends $75 on 10 magazines and 25 newspapers. The magazines cost $5 each and the newspapers cost $2.50 each. Suppose that his MU from the final magazine is 10 utils while his MU from the final newspaper is also 10 utils. According to the utility-maximizing rule, Frank should: a. Reallocate spending from magazines to newspapers. b. Reallocate spending from newspapers to magazines. c. Be satisfied because he is already maximizing his total utility. d. None of the aboveJosh has a monthly income of $1000. He spends this income on gummy bears (G) and "other goods"(X). The first 2500 gummy bears always cost $0.2per unit. When buying more than 2500 gummybears, they are offered at a discounted price of $0.1per unit for any amount above 2500. The unit price of the "other goods" is $1. 1. Draw the budget set. 2. Using optimization techniques, determine Josh’s optimal bundle given that his preferencescan be represented by the utility functionU(G, X) =GX.Make sure to also Illustrate youranswer graphically. 3. Suppose instead that Josh’s utility function isV(G, X) =√GX−25. How would that changeyour answer to subquestion 2? Explain.
- A consumer has a utility function given by lnU =5linx subscrip1 +3lnx subscript 2 if the budget constraint is given by 10x subscript 1 +14x subscript 2 =124 find the optimal quantity of the two commoditiesA consumer consumes pizza and soda always in the fixed proportion of 3 slices of pizza (x) with 2 cups of soda (y). Any pizza or soda not consumed together with the proportional amount of the other is useless to her. (a) Write down a utility function u(x,y) that represents her preferences. (b) If she has I = $60 budget and px = 4, py = 4, what is her optimal bundle? (c) In (b), If the price of soda increases to $6, how much money should she be compensated so that she achieves the same level of utility before the price increase? (d) Returning to (b), If the price of soda increases to $6, how much should the price of pizza be reduced so that she achieves the same level of utility before the price hike? (e) In (a), what values of a and b she is indifferent between the bundle "30 slices of pizza and a cups of soda" and the bundle "b slices of pizza and 40 cups of soda". Find at least two (a,b) pairs to get full points.Reid has the following utility function. U = 24m1/3d1/2 where U is Reid's total utility, m is the quantity of muffin consumed, and d is the quantity of doughnuts consumed. Reid has a budget of $25.00, the price of a muffin is $1.00 and the price of doughnut is $0.60. a. What is the equation for the marginal utility Reid receives from muffins? What is the equation for the marginal utility Reid receives from doughnuts? b. What is the equation for the marginal rate of substitution, MRSm,d? Is Reid's utility function subject to the law of the diminishing marginal rate of substitution? c. Reid has a $15.00 gift card that can only be used to buy doughnuts and $10.00 cash to spend on either of the two goods. The price of a doughnut is $0.60 and the price of a muffin is $1.00. Using equations, determine, determine Reid's optimal combination of muffins and doughnuts given the cash and gift card.