6. Solve the following game for optimal strategy based on algebraic method. B1 B2 B3 A 11 12 8. Az 1 -3 -2 A3 6 14 10
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- The table below states the payoffs in profits (of millions of tenge each day) to two grocery supermarkets that are rivals in Almaty, Blue Foods and Ladymart. Each supermarket can take one of two courses: Low prices; or high prices. In each cell, the first payoff is for Blue Foods, and the second payoff is for Ladymart. (a) Assume that neither store observes the pricing by the other store, and solve the game (if it can be solved). Explain your solution step-by-step. Does this outcome maximize total profits to the two stores? (b) Now assume that each store can observe the pricing by the other store, and solve the game. Blue Food, Ladymart High prices Low prices High prices 2, 2 0, 3 Low prices 3, 0 1,1what is the optimal value of C ? when x1 = ? x2=? and x3 =?At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp.
- At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp. Note that problem 7 had three constraints (excluding the non-negativity constraints), and setting two pairs of those constraints to equality led to two extreme points on the feasible region. What INFEASIBLE point was at the intersection of the other pair of constraints? In the optimal solution to problem 7, the optimum was found at the intersection of two of the constraints that were not non-negativity constraints. Call these “binding” constraints. One of those…Cully Furniture buys two products for resale: big shelves (B)and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. Which of the following is not a feasible purchase combination? Group of answer choices 100 big shelves and 82 medium shelves 150 big shelves and 0 medium shelves 100 big shelves and 100 medium shelves 100 big shelves and 0 medium shelvesThe following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014.† Set up a system and then solve using technology. Airline UnitedContinental American JetBlue Southwest Cost (¢) 14.9 14.6 11.9 12.4 Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 280 empty seats, costing them a total of $118,710. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its flight? United Continental __________ empty seats American ___________ empty seats Southwest ___________ empty seats
- 4. A furniture factory receives a daily shipment of 50 boards of oak and 60 boards of maple, which they use to make cabinets and tables. Each cabinet uses two oak boards and two maple boards and yields a profit of $80. Each table uses two oak boards and three maple boards and yields a profit of $100. How many cabinets and tables should the factory make daily to maximize profit?If Electrocomp decides that at least 30 air conditioners should be produced, but no more than 50 fans should be produced, what would be the optimal solution? 15 air conditioners and 65 fans 35 air conditioners and 75 fans 40 air conditioners and 50 fans 45 air conditioners and 50 fansA farmer wishes to determine which of two brands of baby pig pellets, Kent or Moormans, produces better weight gains. Two of his sows each give birth to litters of 10 pigs on the same day, so he decides to give the baby pigs in litter A only Kent pellets, while the pigs in litter B will get only Moormans pellets. After 4 weeks , the average weigh tgain for pigs in litter A is greater than the average weight gain for pigs in litter B. The feed they get is not the only factor affecting the rate at which pigs gain weight. Genetic differences also affect weight gain. It is likely that the pigs in litter A are genetically different from the pigs in litter B since the two litters have different mothers. What experimental design technique could the farmer use to take into account the genetic differences? A)placebo B) probability sampling C)Blocking D)observational study E)double-blinding