Create a 3x3 payoff matrix for a two person zero sum game (cannot be scissors, paper, rock)
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Create a 3x3 payoff matrix for a two person zero sum game (cannot be scissors, paper, rock)
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- A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 4,800 cherry, 4,200 lemon, and 5,600 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? when OA. The maximum profit is $ assortment III are produced. . boxes of assortment I, boxes of assortment II and boxes ofFamilies who have pets are classified as having one, two or three pets. Let say that in a given year, 15% of families with one pet move to have 3 pets, and 5% move to have 2 pets; also 6% of all families with 3 pets move to having only one pet, and 4% move to having 2 pets; finally, 4% of all families having 2 pets move to having 1 pet and 6% move to 3 pets. The cost of having 1 pet is close to $500 a year, for 2 it is $750 and for 3 pets $825. What is the expected cost to having one pet, two pet or three pets? Please do fast ASAP fastA venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 13% chance of returning $6,000,000 profit, a 20% chance of returning $3,000,000 profit, and a 67% chance of losing the million dollars. The second company, a hardware company, has a 14% chance of returning $6,000,000 profit, a 30% chance of returning $1,500,000 profit, and a 56% chance of losing the million dollars. The third company, a biotech firm, has a 10% chance of returning $7,000,000 profit, a 41% of no profit or loss, and a 49% chance of losing the million dollars.Order the expected values from smallest to largest. first, third, second second, third, first third, second, first first, second, third second, first, third third, first, second
- Four army divisions attack a town along two possible roads. The town has three divisions defending it. A defending division is dug in and hence equivalent to two attacking divisions. Even one division attacking an undefended road captures the town. Each commander must decide how many divisions to attack or defend each road. If the attacking commander captures a road to the town, the town falls. Score 1 to the attacker if the town falls and −1 if it doesn’t. (a) Find the payoff matrix with payoff the attacker’s probability of winning the town. (b) Find the value of the game and the optimal saddle point.Mark's company makes two games (Zeldor and Pekomon) using two machines (A and B). Each unit of Zeldor that is produced requires 25 minutes processing time on machine A and 35 minutes processing time on machine B. Each unit of Pekomon that is produced requires 32 minutes processing time on machine A and 29 minutes processing time on machine B. Available processing time on machine A is forecast to be 1,600 minutes and on machine B is forecast to be 3,045 minutes. If Zeldor can be sold at a price of 2,500 pesos per unit and Pekomon is 2,700 pesos per unit, a. What are the vertices of the constraints? (check all that apply) (32,25) (58, 25) (58, 35) (0, 105) (0, 50) (0,0) (50,0) (25,38) (58, 32) (35, 32) b. How much of each game should the company produce to maximize profit c. How much is the maximum profit?A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 13% chance of returning $11,000,000 profit, a 25% chance of returning $2,000,000 profit, and a 62% chance of losing the million dollars. The second company, a hardware company, has a 14% chance of returning $6,000,000 profit, a 39% chance of returning $3,000,000 profit, and a 47% chance of losing the million dollars. The third company, a biotech firm, has a 7% chance of returning $6,000,000 profit, a 40% of no profit or loss, and a 53% chance of losing the million dollars.Order the expected values from smallest to largest. third, first, second third, second, first first, second, third first, third, second second, third, first second, first, third
- Chris (they/them) is planning a meal for a party. The meal will include an appetizer, a main course, and dessert. They have three choices for an appetizer (Artichoke, Bruschetta, or Caviar), two choices for a main course (Drumsticks or Eggplant), and three choices for dessert (Fritter, Gelato, or Hot chocolate). How many different meals are possible if Chris must serve at least one of Artichoke, Eggplant, and Hot chocolate? Explain your answer.if the system has free variable then the system has unique solution Select one: O True FalseThere are three players in a public good game. Each player (i=1,2,3) has 100 dollars to contribute the amount of money cı, i=1,2,3, for a public good. Each player's payoff depend on the following: (i) The amount of her remaining wealth 100-c, i=1,2,3, for spending in private good. 3. (ii) The amount of public good is equal to the sum of contributions from all players. (iii) Each person cares about the amount of public good and her consumption of private goods. Based on the above assumption, each players ui-(100+c)+(c1+c2+c3)(100-c), i=1,2,3 (a) What is the amount of each player contribute to the public good for Nash equilibrium for the non-cooperative simultaneous game? .What is total payoffs for all players in the non-cooperative simultaneous game? What is the amount of each player contributes to the public for social optimum if (b) (c) there are no discrimination of all players? Hint: The social optimum is the maximum total payoff if all players cooperate together. You might think…
- Find the reduced row echelon form (RREF) of R 2 -1 3 -2 5 1 -4 -3 4 1 2 -5 -7 مل من هن ܘ -3A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 14% chance of returning $8,000,000 profit, a 19% chance of returning $1,500,000 profit, and a 67% chance of losing the million dollars. The second company, a hardware company, has a 15% chance of returning $9,000,000 profit, a 37% chance of returning $3,500,000 profit, and a 48% chance of losing the million dollars. The third company, a biotech firm, has a 15% chance of returning $6,000,000 profit, a 28% of no profit or loss, and a 57% chance of losing the million dollars.Order the expected values from smallest to largest. first, third, second third, first, second third, second, first second, first, third first, second, third second, third, firstA venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 13% chance of returning $4,000,000 profit, a 30% chance of returning $1,500,000 profit, and a 57% chance of losing the million dollars. The second company, a hardware company, has a 14% chance of returning $4,000,000 profit, a 41% chance of returning $1,500,000 profit, and a 45% chance of losing the million dollars. The third company, a biotech firm, has a 5% chance of returning $9,000,000 profit, a 32% of no profit or loss, and a 63% chance of losing the million dollars.Order the expected values from smallest to largest.