If the total utility from consuming the sixth, seventh and eighth units of a good are 111, 133 and 140 respectively, the marginal utility of the eighth unit is equal to: OA. 47 B. 39 C. 22 D. 0 E. 7
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- A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below. Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend. Product X Product Y Product Z Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ 1 42 NA 1 14 NA 1 32 NA 2 82 4 2 26 6 2 60 3.5 3 118 3.6 3 36 5 3 84 3 4 148 3 4 44 4 4 100 2 5 170 2.2 5 50 3 5 110 1.25 6 182 1.2 6 54 2 6 116 0.75 7 182 _0 7 56.4 _1.2 7 120 _0.5_ Why would the consumer not be maximizing utility by purchasing 2 units of X, 4 units of Y, and 1 unit of Z?A consumer finds only three products, X, Y, and Z, are for sale. The amount of utility which their consumption will yield is shown in the table below. Assume that the prices of X, Y, and Z are $10, $2, and $8, respectively, and that the consumer has an income of $74 to spend. Product X Product Y Product Z Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ Quantity Utility Marginal Utility per $ 1 42 NA 1 14 NA 1 32 ___NA__ 2 82 4 2 26 6 2 60 __3.5_ 3 118 3.6 3 36 5 3 84 __3___ 4 148 3 4 44 4 4 100 __2___ 5 170 2.2 5 50 3 5 110 _1.25___ 6 182 1.2 6 54 2 6 116 _0.75__ 7 182 0 7 56.4 1.2 7 120 _0.5_ How many units of X, Y, and Z will the consumer buy when maximizing utility and spending all…Michelle has $7 to spend on makeup and clothes and wants to maximize her utility on her purchase. Based on the data in the table, how much makeup and clothes should Michelle purchase to maximize her utility. Show all working Makeup= $1 Clothes = $0.50Quantity Total Utility Quantity Total Utility1 28 1 122 52 2 223 72 3 304 88 4 365 100 5 406 108 6 427 112 7 428 112 8 40
- Suppose that a consumer has a choicebetween two goods, X and Y. If the price of X is $2 and the priceof Y is $3, how much of X and Y does the consumer purchaseper period, given an income of $17 per period? Use the followinginformation about marginal utility:Units MUX MUY1 10 52 8 43 2 34 2 25 1 2Mylie’s total utility from singing the same song over and over is 50 utils after one repetition, 90 utils after two repetitions, 70 utils after three repetitions, 20 utils after four repetitions, −50 utils after five repetitions, and −200 utils after six repetitions. Write down her marginal utility for each repetition. Once Mylie’s total utility begins to decrease, does each additional singing of the song hurt more than the previous one or less than the previous one?1. An individual is confronted with three commodities x, y and z. Suppose the consumer’s money income is Birr 39 and the marginal utility of each good is independent of the amount consumed of other goods. Using the hypothetical data given below, find the optimum quantities of a consumer. Unit of each good 1 2 3 4 5 6 7 8 9 10 Mux 12 11 10 9 8 7 3 0 -2 -6 MUy 60 55 48 40 27 21 19 18 9 0 MUz 70 60 50 45 30 25 18 10 0 -5 a) If the three goods were “free” or no budget constraint. b) If respective prices are Px= 1 Birr, Py=3 Birr and Pz=5 Birr
- Frank 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 above2. Tom spends all his $100 weekly income on two goods, apples and bananas. His utility function is given by U (A, B) = AB, where A and B stand for the quantity of apples and bananas consumed by Tom. If PA = $4 and PB= $10, how many apples and bananas will he consume? Make sure you write out the utility maximization problem explicitly, including the decision variable(s). What if his utility function is given by U (A, B) = A0.5B 0.5?4. Show how to construct the reference dependent utility function for two friends Kate and Mary whose gains and losses are listed as follows : Kate's net worth is $ 4.5 million ( decreased from $ 5.5 to $ 4.5 million ) Mary's net worth $ 3.2 million ( increased from $ 3 to $ 3.2 million ) ( First determine the reference point ( use a parameter ) and then derive reference utility function for each ) .
- The table below shows Martha’s total utility from burgers and pasta. Suppose that the price of a burger is $4, the price of pasta is $8 a dish, and Martha has $24 a week to spend. Quantity of Burger per week Total utility for Burger MU MU/P Quantity of Dishes Pasta per week Total utility for Pasta MU MU/P 0 0 0 0 1 10 1 20 2 18 2 36 3 25 3 48 4 31 4 56 5 36 5 60 6 40 6 62 a- Conclude whether or not we follow the law of diminishing MU. b- What is optimal combination of Burger and Pasta?A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility functionU (x, y) = 10x0.6y0.4a. How many units of each commodity should the consumer buy tomaximize utility?b. Is the budget constraint binding?If the marginal utility from consuming the fifth unit of a product is 6 and the total utility from all five units is 162, then the total utility from consuming four units must be Multiple Choice 168. 27. 156. 972.
