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- 6. Given U = 3x, +x,x, +2x, s.t. Pı + P2x2 = B Find the amount of the commodities at which utility will be maximized.6. Consumer spends $360 per week on two goods, X and Y. PX=$ 3 and PY=$2. His utility function is U= 2X2Y. What quantities of X and Y does he buy each week in equilibrium?.True/False Marginal utility keeps falling with the each additional consumption of a good or service.
- The marginal utility derived from the consumption of extra unit of commodity. True/Falseqty per week Marginal Utility of songs Marginal Utility of Cookies 1 15 25 13 20 3 12 16 4 11 13 10 11 6. 9 10 7 8. 7 8. 6. 7 10 Above is the utility of Sara for song and cookie consumption. If the price of a song is $2 and the price of a cookie is $1, how many cookies and songs will sara consumer? Why?U(x, y) = xayb A consumer maximises utility subject to a budget constraint M = Pxx+Pyy Where px is the price of good x, py is the price of good y and M is the budget available. a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility diminishing. b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility diminishing.
- Quantity X TUx MUX MUX/Px Quantity Y TUy MUY MUy/Py 1 75 1 96 135 60 B 72 185 50 3 234 66 4 230 45 A 4 294 60 270 5 348 54 2.Q1. You have Rs.10. The price of samosa is Rs.1 per unit. The price of a steak sandwich is Rs.3 The utility received from consuming samosa and steak is given below. a. How many samosas and steak sandwiches should be bought to maximize utility? Calculate utility maximizing quantities of samosas and steak sandwiches when income equals Rs.10 and the price of beer is Rs.1 and the price of steak sandwiches is Rs.3 using the utility b. maximizing rule No. of TU of samosa MU of No. of steaks TU of steaks MU of steaks samosas samosa 1 15 1 24 2 24 45 32 63 4 39 4 75 45 84 47 873. If MU,1/Px1 > MU,2/PX2 is the consumer maximizing his utility? Explain how to maximize it if your answer is no?
- 7. Bob receives utility from days spent traveling on vacation domestically (D) and daysspent traveling in a foreign country (F) as given by the utilityU(D; F) = DFThe price of a day spent traveling domestically is 160 pounds and in a foreigncountry 200 pounds. Bobís annual budget for traveling is 8000 pounds. (a) Find Bobís utility maximising choice of days traveling domestically and of daystravelling in a foreign country. Find also his utility level from consuming thatbundle. Suppose that the price of domestic traveling increases to 250 pounds per day.Denoting his budget for traveling x, (suppose by now that it is unknown) findthe demand for D and F under the new prices as a function of x.Illustrate and explain how consumer equilibrium is achieved using the indifference curve?Discuss how the demand elasticity of a product changes? Give examples.s) Using the indifference curves, a budget line and a price change, show how we can derive an individual's demand curve for a product..
