Suppose your total benefit from eating slices of pizza (value in dollars) is 8x−x^2, where x is the number of slices of pizza. Pizza is sold by the slice and costs $2 per slice, and so the total cost of pizza is 2x. Using optimization in levels, what is the optimal amount of pizza for you to eat?
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- Suppose that you can purchase satellite TV service for a fixed monthly fee of $79, no matter how many hours of TV you watch. Assuming that the principle of diminishing marginal benefit applies to watching TV, the optimal (efficient) number of hours of TV to watch per month is: Group of answer choices Zero The number of hours where marginal benefits are zero. The number of hours where marginal cost is lowest. The number of hours where marginal benefits are maximized.Jane receives utility from days spent traveling on vacation domestically (D) and days spent traveling on vacation in a foreign country (F), as given by the utility function U(D,F) = 10DF. In addition, the price of a day spent traveling domestically is $100, the price of a day spent traveling in a foreign country is $400, and Jane’s annual travel budget is $4000. Suppose F is on the horizontal axis and D is on the vertical axis. Jane's marginal rate of substitution between F and D is equal to 10 1 F/D D/FAnalyze how pareto efficiency is achieved from consumption activities in an economy
- The optimal quantity of a product A in an optimal bundle (of products A, B, C,..., etc.) will be where the marginal benefit ( MU) of the optimal quantity of A is equal to the marginal cost ( P) of the product A. True or False?You have k20 per week to spend and two possible uses for the money: telephoning friends back home and drinking coffee. Each Hour of phoning costs k2 and each cup of coffee costs k1. Your utility function is U(X,Y)=XY,where X is the hours of phoning you do and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility levels? You can use the standard result on the constrained maximization of such a function, but must state in clearlyYou have £20 per week to spend, and two possible uses for this money: telephoning friends back home, and drinking coffee. Each hour of phoning costs £2, and each cup of coffee costs £1. Your utility function is U(X,Y) = XY, where X is the hours of phoning you do, and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility level? You can use the standard result on the constrained maximization of such a function, but must state it clearly. Now suppose the price of telephone calls drops to £1 per hour. What are your optimal choices? What is the resulting utility level? How much income per week will enable you to achieve the same quantities at the new prices as the ones you chose before? What income will enable you to attain the same utility as you did before? Comment on your answer in the context of equivalent variation and compensating variation.
- The objective of consumption in Islamic economics is to spend money that may maximize a person’s utility. to manage the resources and behave in a way that pleases Allah. to utilize nature, the universe and other creations. to maximize well-being by seeking the pleasure of Allah.Because one’s productivity in the workplace is likely to be affected by one’s health, investment in health could increase earnings to the extent that one might spend money on health care without reducing his or her consumption of other goods.Martha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in ‘utils’; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility for Exercise Utility from Music 0 utils from 0 hours of exercise 50 utils from 5 hours of music 25 utils for 1 hours of exercise 45 utils from 4 hours of music 40 35 45 20 50 0 Marginal analysis will help Martha in her decision making regarding how to spend her free time because ... All answers are correct. She will realize which activity is more important to her. She will be able to find the combination of music and exercise which gives…
- Within the framework of economics, optimization means providing a good or service until: a. marginal benefits and marginal costs are equal. b. marginal benefits exceed marginal costs by the greatest amount possible. c. total benefits are greater than total costs. d. total benefits and total costs are equal. e. total benefits are maximized.A consumer has preferences over two goods, carrots and turnips, each measured in kilograms. For each of the following scenarios, identify which, if any, of the standard assumptions of preferences are violated. (a) The consumer will never eat more than ten kilograms of carrots per day. (b) The consumer cares only about the total weight of the two vegetables consumed, and always prefers more to less. (c) The consumer cares only about the product of the respective weights of the two vegetables consumed, and always prefers a greater product to a lesser one.Which of the following statements is most true? You will purchase 2 slices of pizza because the Marginal Cost of the third slice exceeds the Marginal Benefit. You will purchase 2 slices of pizza because the Marginal Cost of the third slice exceeds the Marginal Benefit. You will purchase 3 slices of pizza because the Marginal Cost of the fourth slice exceeds the Marginal Cost. You will purchase 3 slices of pizza because the Marginal Cost of the fourth slice exceeds the Marginal Cost. You will purchase 2 slices of pizza because the Marginal Benefit of the third slice exceeds the Marginal Cost. You will purchase 2 slices of pizza because the Marginal Benefit of the third slice exceeds the Marginal Cost. You will purchase 1 slice of pizza because the Marginal Benefit of the second slice exceeds the Marginal Cost
