Based on given information, construct Matrix Representation of Facebook and Linkedin Companies game. In addition, based on given information, construct decision tree (Facebook choosesfirst)
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Assume that Facebook and Linkedin Companies have to decide whether to invest in the development of application. If they both develop successfully the new application, their profits will increase by 10 million a year. If only one develop the application, it will make 50 million a year in additional profits, whereas the profits of the other firm will drop by 15 million a year. If no firm develops the screen, the profits of the companies remains same which is 10 million. Based on given information, construct Matrix Representation of Facebook and Linkedin Companies game. In addition, based on given information, construct decision tree (Facebook choosesfirst)
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- Two oil companies are deciding how much oil to extract from their properties, which lie above the same underground reservoir. The faster that oil is extracted, the less total oil is extracted. Letting x denote the extraction rate for company X and y denote the extraction rate for company Y, we assume that the total amount of oil extracted is 1/(x + y) million gallons of oil. Of the total amount that is extracted, the share going to company X is x/(x + y), and the share to company Y is y/(x + y); that is, a company’s share depends on how fast it extracts compared with the other company. The price of oil is $100 per gallon. Each company chooses its extraction rate from the interval [1,10] in order to maximize the monetary value of the oil that it extracts. Find the Nash equilibrium extraction rates. (Note: You can assume that the payoff function is hill shaped.)Two friends, Khalid and Mahmood, are going to a watch a world cup football match. They play a simple game in which they hold out one or two fingers to decide who will pay for the other's ticket. Khalid wins if the fingers held out add up to an even number; Mahmood wins if the fingers held out add up to an odd number. The price of the ticket is 25 OMR. Construct a payoff matrix for the game. Is there a unique Nash equilibrium in this game? Which strategy should a player use to maximize her chances of winning the game?Solve the problem by applying matrices in the solution. For a company to distribute their own tuna in a can, the economy revolving around the canned goods sector must be studied. Upon studying, it was concluded that it has three main sectors, the metal can production, the fisheries, and the distribution sector, respectively. The metal can production sells 25% of its output to distributions and 58% to fisheries and retains the rest. Fisheries sell 80% of its output to distributions and 10% to metal can industries and retains the rest. Distribution sells 15% to metal can production and 15% to fisheries and retains the rest. Determine the price of output for each economy. If the metal can production sells 1,000,000 Pesos, what are the expected sales for fisheries and distribution?
- A sequential game can be used to analyze whether a retail firm should build a large store or a small store in a city when the correct choice depends on whether a competing firm will build a new store in the same city. Which of the following is used to analyze this type of decision? A. an either minus or graph B. a decision matrix C. a sequential matrix D. a decision treeSuppose that Jason and Chad each are thinking of opening up a diet coke stand on the fourth floor of this building. Suppose that potential customers are evenly spaced on a distance that is normalized to 1. Customers will buy a diet coke from whichever stand requires the least walking. If they are the same distance the customer will flip a coin. This is depicted below. 1/4 1/2 3/4 Suppose that Jason and Chad are simultaneously choosing the location of their stands, what is the Nash Equilibrium location? a. One of them puts a stand at 3/4 and the other puts a stand at 1/4 b. Chad and Jason put their stands right next to each other at 1/2 c. One of them puts a stand at 0 and the other puts a stand at 1 d. There is no Nash EquilibriumSyukri, Iqmal and Amir run the only shop in Wang Ulu. They sell electrical goods such as televisions, washing machines, etc. However, their objectives are different from each other. Syukri wants to make as much profit as he can. Iqmal wants to sell as many goods as he can without losing money, and Amir wants to earn as much revenue as he can. The graph below illustrates their respective profits. Note: The length of each square on the Y-axis represents RM100, and the length of each square on the X-axis represents 100 units 1 what is the profit for amir? 2 what is the profit for iqmal?
- Syukri, Iqmal and Amir run the only shop in Wang Ulu. They sell electrical goods such as televisions, washing machines, etc. However, their objectives are different from each other. Syukri wants to make as much profit as he can. Iqmal wants to sell as many goods as he can without losing money, and Amir wants to earn as much revenue as he can. The graph below illustrates their respective profits. Note: The length of each square on the Y-axis represents RM100, and the length of each square on the X-axis represents 100 units 1 what is the profit for suykri?Syukri, Iqmal and Amir run the only shop in Wang Ulu. They sell electrical goods such as televisions, washing machines, etc. However, their objectives are different from each other. Syukri wants to make as much profit as he can. Iqmal wants to sell as many goods as he can without losing money, and Amir wants to earn as much revenue as he can. The graph below illustrates their respective profits. Note: The length of each square on the Y-axis represents RM100, and the length of each square on the X-axis represents 100 units 1 what is quantity for syukri? 2 what is quantity for iqmal? 3 what is quantity for amir? 4 what is price for amir? 5 what is price for iqmal? 6 what is price for syukri? 7 what is the profit for amir? 8 what is the profit for iqmal? 9 what is the profit for syukri?Suppose the outputs of beauty shops and pet-grooming salons are complementary, providing one-stop shopping for personal and pet maintenance. Betty Beehive is thinking about moving her beauty shop from an isolated location to a vacant building next to Peter’s pet grooming shop.In making her decision, she makes the following assumptions: If Betty moves, she will keep all her current customers (20 people per week) and attract 25% of Peter’s current customers. Peter currently has 60 customers per week. 3. Excluding rent, Betty’s profit per beauty treatment is $10. 4.The weekly rent at the new location is $200 higher than Betty’s current rent. Question = If Betty moves her beauty shop, will her profits increase or decrease? By how much? Question =Suppose that if Betty makes the move, 50 percent of her original customerswill switch from George’s grooming salon to Peter’s. If Peter’s profit pertreatment is $8, how much would he be willing to pay Betty to make themove? Will the…
- A jewelry store makes necklaces and bracelets from gold and platinum. The store has developed the following lin- ear programming model for determining the number of necklaces and bracelets (x, and x,) to make in order to maximize profit: Maximize Z = 300x, + 400x2 (profit, $) subject to 3x1 + 2x2 < 18 (gold, oz) 2x, + 4x2 s 20 (platinum, oz) x2 54 (demand, bracelets) X1, x2 2 () a. Solve this model graphically. b. The maximum demand for bracelets is 4. If the store produces the optimal number of bracelets and neck- laces, will the maximum demand for bracelets be met? If not, by how much will it be missed? c. What profit for a necklace would result in no bracelets being produced, and what would be the op- timal solution for this problem?1. Which of the following generates the network economies of scale? i) Tiktok ii) Coffee from Starbucks iii) LinkedIn iv) Languages v) Cheeseburgers from McDonald’s a. i) and iv) b. all of them c. ii) and v) d. i), iii), and iv) e. i) and v)Exercise 4.1 Amy and Bill simultaneously write a bid on a piece of paper. The bid can only be either 2 or 3. A referee then looks at the bids, announces the amount of the lowest bid (without revealing who submitted it) and invites Amy to either pass or double her initial bid. - The outcome is determined by comparing Amy's final bid to Bill's bid: if one is greater than the other then the higher bidder gets the object and pays his/her own bid; if they are equal then Bill gets the object and pays his bid. Represent this situation by means of two alternative extensive frames. Note: (1) when there are simultaneous moves we have a choice as to which player we select as moving first: the important thing is that the second player does not know what the first player did; (2) when representing, by means of information sets, what a player is uncertain about, we typically assume that a player is smart enough to deduce relevant information, even if that information is not explicitly given to…