Table 1 Number of Chocolate Bars per Day Total Utility Marginal Utility 80 2 3. 4 150 200 230 10 2- Refer to the table above, 2.a- What is the marginal utility of the second chocolate bar per day? Please calculate. (3 pt) 2.b- What is the total utility of five chocolate bars per day? (3 pt)
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- Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.Ewa spends all her 600 PLN bonus on the purchase of sweets and cosmetics. Draw the Ewa's budget line, knowing that her favorite sweets cost PLN 10 per pack and the price of cosmetics is PLN 25. •How will Ewa's situation be affected by the PLN 50 bonus increase? •What will happen if the price of cosmetics increases to PLN 30? •How, from the point of view of initial situation, we will evaluate the following quantitative combinations: –30 packages of sweets and 15 cosmetics –60 packages of sweets and 24 cosmetics –20 packages of sweets and 10 cosmetics –10 packages of sweets and 15 cosmeticsOn a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according tothe functionU(c, b) = 20c− c²+ 18b − 3b²a. How many cigars and glasses of brandy does he consume during an evening? (Cost isno object to J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum ofglasses of brandy and cigars consumed to 5. How many glasses of brandy and cigarswill he consume under these circumstances?
- Graph the following dataQuantity marginal utility1 153 2 112 3 77 4 48 5 25 6 8 7 -3 8 -8Number Consumed Total Utility Marginal Utility 0 0 NA 1 9 9 2 19 10 3 27 8 4 35 9 5 42 7 6 42 0 7 40 -2 When does diminishing marginal utility begin to set in?True/False/Uncertain: 1. In taking an exam, Atack, a rational student, allocates his time to the various questions so as to equalize hismarginal point utility per minute on all questions. 2. The marginal utility of food to Zecher depends only on the amount of food (and not on the amount ofhousing) and the marginal utility declines as more food is consumed; likewise for housing. Therefore,both food and housing are normal goods. (Hint: Express the optimality condition for Zecher’s [UMP], MUF/MUH = PF/PH. Notice that PF/PH is fixed. If all of an increase in income is spent on F, can the equality be maintained?)
- Suppose the consumer's utility function is given by U(x,y) = X3/5y2/5, and the exogenous variables are given by M = 500, Px = 5, and Py = 4. Price of y changes to Py = 2. What is the income effect ony?O A.-14.53O B. +14.53O C. +24.21O D. +25.79O E. None of the above Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.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?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
- 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?1. Does a dollar given to a rich person raise the rich person’s total utility more than a dollar given to a poor person raises the poor person’s total utility? 2. This week you have gone to two parties. Assume the total utility you gained from these parties is 100 utils. Then you go to a third party, and your total utility rises to 110 utils. What is the marginal utility of the third party attended per week? Given the law of diminishing marginal utility, what will happen to total utility and marginal utility when you go to a third party this week? 3. Suppose you consume 3 pounds of beef and 5 pounds of pork per month. The price of beef is $1.50 per pound, and pork is $2.00 per pound. Assuming you have studied economics and achieved consumer equilibrium, what is the ratio of the marginal utility of beef for the marginal utility of pork? 4. Explain the relationship between the law of diminishing marginal utility and the law of demand. 5. Using the marginal utility…33. Suppose MRSx,y = MUx/MUy = 0.1(a) If the consumer substitutes 10 units of X for one unit of Y, then the utility remainsunchanged(b) Regardless of prices, the consumer will only consume Y(c) If the consumer substitutes 1 unit of Y for 0.1 unit of X, then the utility remainsunchanged(d) Regardless of prices, the consumer will only consume X