The budget constraint displays a price of good Y equal to $3.00 and a price of good X equal to $3.00. 26.67 Qy 20.0025 - 13.335 (16, 10.67) A 6.6675
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- Jen from Thunder Bay consumes housing (H) and food (F). Her studentstipend is $600/month. She has a utility function of U(H, F) = F1/3H2/3.The initial price of food is pF = 1 and the price of housing is pH = 10. (a) Determine how much food and housing she consumes.(b) Suppose the government decides to subsidize her housing by 50%.This has the effect of lowering the price she actually pays for housingto $5. If the price of food is $1 and the price of housing is $5, calculateJen’s utility maximizing bundle of goods.(c) How much does the Government spend on this program (just on Jen)?(d) Calculate her utility level using the utility function above and thequantities consumed.(e) Calculate Jen’s utility maximizing bundle and her resulting utilitylevel if the government chooses to simply give her the money theywould have spent on the program (rather than subsidize housing).How much utility does Jen get?(f) Given the two programs cost the same, which one is better for Jen?Illustrate the…abby is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. Jennifer’s utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Question 1 Part aFind abbys optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.A consumer with the following utility function U = xy? faces two constraints. The first is the normal budget constraint where he has GH¢150 and the price of x and y are both GH¢1. Also, the consumer has been issued 200 ration coupons by the government which he must use whenever he buys either x or y. It takes 2 coupons to buy an x and 1 coupon to buy a y (for example: to buy 3 units of x it would require GH¢3 or 6 coupons) (i) Write down the Lagrangian for this problem. (ii) Applying the steps of Kuhn-Tucker, find the optimal x and y. Identify which constraints, if any, are binding.
- John has $300 as income and he uses his income only for apples and bananas. If he uses his income only for apples, he can buy 10 pounds. If he uses his income only for bananas, he can buy 15 pounds. Which one is the correct formula for his budget constraint when X=pounds of apples, Y=pounds of bananas and the prices are per pound? a) More information is needed to answer the question. b) 15X + 10Y = 300 c) 10X + 15Y = 300 d) 20X + 30Y = 300 e) 30X + 20Y = 300maddy is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. maddy utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Part aFind Jennifer’s optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.Part bmaddy uncle Sam, who is aware of her financial troubles, offers to help herout. Specifically, he offers to pay half of her weekly diaper expenses. Howmany diapers maddy would buy now? Again, demonstrate your solution bothgraphically and analytically.consumptionA consumer's budget constraint is given by 500 = 40G + 10D, where G is ice cream in liters and D is drink in liters. The consumer thinks that a liter of ice cream is a perfect substitute for 3 liters of drink. Which statements are then correct?Select one or more options: a-2 liters of ice cream and 42 liters of drink are on the budget line b-The optimal choice is to consume 3 times as much drink as ice cream c-The optimal choice is to only consume ice cream d-0 liters of ice cream and 50 liters of drink are on the budget line
- The consumer’s utility function is u(x1, x2) = 2√x1 + √(x2/4) (a) Determine the equilibrium condition for MRS21 and prices p1, p2. (b) Express the general form of D1(p1, p2, m), D2(p1, p2, m). (c) Calculate the desired amounts x1, x2 for p1 = 8, p2 = 2, m = 80. (d) Express the general form of income elasticity for commodity x1. Please show working step by step for b,c,d with final values of solution like in aA 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 commoditiesDetermine the equilibrium quantities of commodities x and z for a consumer whose total utility (U) and other relevant variables are given below; U = 20x +4z 2 + 40z +x2 Income level Y = Ksh.48, Price of Price ofx px = ksh.2, z pz =ksh.4
- Basil is a broke college student who consumes only coffee and pizza. No one is really sure how he can survive on those two goods alone, but somehow he does. Coffee is $2 per cup, and pizza is $5 per pizza. Basil's weekly budget constraint is shown below. On the graph below show how his budget constraint would change if Basil gets an additional $10 per week from his grandmother. Coffee (cups per week) 15 14 13 3 210 000 654 120 w 2 -N Budget Constraint 0 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Pizza (number per week)Malcom only consumes 2 goods - Good A and Good B. His budget constraint is 4A+2B=400, which means Good A's cost is $4 per unit, Good B's cost is fixed at $2 per unit, and income is fixed at $400. However, Good A's cost is not fixed, with the condition that if Malcom consumes more than 5 units of Good A, Good A would cost him $5 per unit. Thus if he does consume more than 5 units of Good A, his budget constraint would be 5A+2B=400 (a). How does Malcom's optimal choice change? Explain in full detail. (b) How does Malcom's well-being change? Explain in full detail.Anna has an income of 1000 euros and utility function U(x,y)=x²y³. The prices of the two goods are P₁=5 and Py-20. a) Define the budget constraint and represent it graphically. (
