5. Marginal Analysis. In each of the situations below you are asked to make a business decision justified by an analysis of a function which models some aspect of business. Your answer should indicate a recommended course of action along with a single sentence justifying or explaining your recommendation. (a) Suppose the monthly profits (in thousands of dollars) for a particular franchise business are well modeled by: P(t) = 10t – 60 %3D (t is measured in months) Should an investor start a new business with a short term (6 month loan), or a longer term (1-2 years) loan?
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- 14. What assumption is important in using economic model to make predicitons? a) the law of demand b) the rationality assumption c) ceteris paribus/ other things being equal d)evryone being a price takerAccording to the text explain briefly when decision analysis can be used?10. Sunk costs and decision making Carlos has plans to go to an opera and already has a $100 nonrefundable, nonexchangeable, and nontransferable ticket. Now Deborah, vwhom Carlos has wanted to date for a long time, asks him to a party. Carlos vwould prefer to go to the party with Deborah and forgo the opera, but he doesn't want to waste the $100 he spent on the opera ticket. From the perspective of an economist, if Carlos decides to go to the party with Deborah, what has he just done? Made a choice that was not optimal Incorrectly allowed a sunk cost to influence his decision O Correctly ignored a sunk cost
- 2. Which words best complete the following sentence ? A rational decision maker always chooses the option for which marginal benefit is _______ marginal cost?1) How does the concept of scarcity fit into an understanding of economics? How does it relate to the notion of trade offs? Explain a few factors that go into rational decision making in an economic contexr.1.Use the marginal analysis technique to determine the quantity of organic coconut oil that will maximize net benefits. Present results in table form and highlight the maximizinglevel. 2. Graphically illustrate letter B. Separate the graphs for TB – TC approach, MB = MC rule, and net benefit (maximum). The sequence of the graph: (1) TB – TC approach (topmost graph); (2) net benefit (middle graph); and (3) MB, MC, & MNB (last, 3rd graph). But be sure that the graphs are parallel in X-axis so as to be consistent in the results. (Label your graphs accordingly and appropriately.)
- Task 3 Pick one of your items. You have been contacted by a customer in Alaska who wants to purchase several of these items and wants you to ship the items to her. You have already established the cost per item and you will only charge the customer $5 to ship these items to Alaska. Suppose another company sells the same item but charges half of your price. However, if the customer buys from this company, she will be charged $20 in shipping costs. a. Write two equations to represent the customer's total cost based on how many items she buys from each of the two sellers-you and the other company. b. If the customer in Alaska wants to buy 5 items, from whom should she buy? Explain your answer. c. If the customer in Alaska wants to buy 50 items, from whom should she buy? Explain your answer. d. Solve the system of equations from part A. What method did you choose to solve the system? Why? e. Explain what your solution for part D means in terms of the situation.3. You and a fellow student are working on a joint project in a course. You cach know that your project's score in points will be split between the two of you. The project's score depends on the level of effort you put into the project, where your effort, ee [0,1], ranges between zero and one. Putting forth effort is costly to you, though: you feel a cost of effort given by c(e). Your partner faces the same cost function for her own effort. Suppose the score earned by the project is given by fle,e2)=200 e,ez, and your cost of effort is given by c(e,)=40e,. What is the effort chosen by you and your partner, and what is your score on the project? (Hint: You need to use best-response graphs on this one. The first-order conditions in this problem will only help you draw the best-response function of each player. Find the Nash equilibria by finding the intersections of the best-response functions.) Now suppose the score earned on the project is given by fle,,e)=200 e,ez and the cost of your…Suppose you have a linear optimization model where you are trying to decide which products to produceto maximize profit. Answer the following questions and be as specific as possible.(a) What does the additive assumption imply about the profit objective? (b) What does the proportionality assumption imply about the profit objective? (c) Can you think of any reasonable profit functions that would not be linear in the amounts of theproducts produced?
- Use the following marginal benefit and marginal cost functions for activity A: MB = 100 - 5AMC = 20 + 3A The fifth unit of activity Awill increase net benefits by 75. reduce net benefits by 35. decrease net benefits by 40. increase net benefits by 40. reduce net benefits by 75.e [due Mon] 5 Making Effective Decisions Often illustrated with a graph or a table, shows the results under different sets of assumptions. opportunity cost marginal analysis marginal thinking sensitivity analysis Save for Later JAN 18 080 MacBook Air 08 F3 DD F4 F5 F8 95● ● The marginal benefit to Lesley of staycations during the year at a hotel are given by the ollowing schedule: Number of Weekend Staycations 1 2 3 4 5 Marginal Benefit $550 $460 $390 $250 $200 $150 If the marginal cost of a staycation at the hotel is constant and equal to $360, how many weekends at the hotel is Lesley likely to enjoy? If Lesley stays for 5 weekends, what is the net benefit/(cost)?