Consider the following choice (where p e [0, 1], q E [0, 1], and p+q<1): 1 x = ( $600, p ; $400, q ; $0,1 – p – q) vs. y = ( $500,; $300, : 5 ; $0, % (a) For what values of p and q does lottery x dominate lottery y? (b) For what values of p and q does lottery y dominate lottery x?
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![Question 5:
Consider the following choice (where pE [0, 1], q E [0, 1], and p+q< 1):
1
1
x = ( $600, p ; $400, q ; $0,1 – p– q) vs. y = ( $500,; $300,; $0,
2
1
3
(a) For what values of p and q does lottery x dominate lottery y?
(b) For what values of p and q does lottery y dominate lottery x?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb872ff19-e6e9-443a-aa3d-118b00eceeed%2F2ec108c6-e33a-425b-b2c3-20999ac4d2f4%2Fh7d7d1z_processed.png&w=3840&q=75)
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- Question 2 A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N ) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a+bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. the number of drivers that join the road is Ne = (v−a)/b (iv) Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others.Question 5 AIT computer department purchases a new computer every two years with preferences for three models; T1, T2 and T3. If the present model is T1, the next computer may be T2 with probability 0.2 or T3 with probability 0.15. If the present model is T2, the probabilities of switching to T1 and T3 are 0.6 and 0.25 respectively. And if present model is T3 then, the probabilities of switching to T1 and T2 are 0.5 and 0.1 respectively. Represent the situation as a Markov chain.question 7 You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 450 eggs and 750 cups of cream. You make a profit of $3 on each quart of Creamy Vanilla and $2 on each quart of Continental Mocha. How many quarts of each flavor should you make to earn the largest profit? HINT [See Example 2.] (If an answer does not exist, enter DNE.) Creamy Vanilla quartsContinental Mocha quarts
- Question 1. Busch Gardens Sweets is preparing for the Halloween rush. They prepare two sizes of Peanut/Raisin Ghoulish Delight and need to calculate how many bags of deluxe and standard mixes they can produce. • The deluxe mix takes 0.9 of a pound of raisins and 0.4 of a pound of peanuts.• The standard mix takes 0.7 of a pound of raisins and 0.6 of a pound of peanuts.The shop has 100 pounds of raisins and 70 pounds of peanuts. The profit on the deluxe mix is $1.80 and the standard mix profit is $1.60. The owner wants no more than 110 bags of each type prepared. Do not forget the non-negativity constraint and remember that you cannot sell partial bags (whole numbers only). Use Excel Solver Question 2. Take a screenshot (snip tool) of you excel spreadsheet and save it.Question #4 - Jerry Smith is thinking about opening a bicycle shop in his hometown. Jerry loves to take his own bike on 50-mile trips with his friends, but he believes that any small business should be started only if there is a good chance of making a profit. Jerry can open a small shop, a large shop, or no shop at all. The profits will depend on the size of the shop and whether the market is favorable or unfavorable for his products. Because there will be a 5-year lease on the building that Jerry is thinking about using, he wants to make sure that he makes the correct decision. Jerry is also thinking about hiring his old marketing professor to conduct a marketing research study. If the study is conducted, the study could be favorable (i.e., predicting a favorable market) or unfavorable (i.e., predicting an unfavorable market). Develop a decision tree for Jerry.Question 2: Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, Sunblessed has 220,000 pounds of grade 6 oranges and 150,000 pounds of grade 9 oranges on hand. The average quality of oranges sold in bags must be at least 7, and the average quality of oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $2.25 and incurs a variable cost (consisting of labor costs, variable overhead costs, inventory costs and so on) of $1.35. Each pound of oranges sold in bags yields a revenue of $2.00 and incurs a variable cost of $1.20. Determine how Sunblessed can maximize its profit. Please include your answer report with the model, and a description of your recommendation. Use SolverTable to determine how a change in the cost per bag of oranges changes the optimal solution. Specifically, vary the cost from $1.00 to $1.50 in…
- Which of the following is not true? Question 6 options: 1) Climate involves statistics (e.g., long-term averages) but weather considers conditions at a particular time and place (e.g., one week of this summer). 2) The current weather at a location can be characterized by a single measurement, but climate requires many years of measurements (typically around 30) to characterize. 3) Both weather and climate can vary regionally (e.g., from one side of a mountain range to another). 4) Climate only refers to temperatures, but weather also includes other factors like wind, rain, and snow.Question 3: A catering company must have the following number of clean napkins available at the beginning of each of the next four days: day 1: 15, day 2: 12, day 3: 18, and day 4: 6. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs $0.10 per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs $0.06 per napkin, and a napkin cleaned via slow service is available two days after they were last used. New napkins can be purchased for a cost of $0.20 per napkin. Part A: Formulate the problem as a minimum cost transportation problem. Part B: Use Excel Solver to solve the problem (provide exact values for all variables and the optimal objective function).Question 8A food manufacturer has to decide how many batches of a product to produce next week. If one batch is produced, the profit will be $15,000. If two batches are produced, but the demand is only sufficient for one batch, then a loss of $5,000 will occur. If two batches are produced and the demand is equal to two batches, then a profit of $20,000 will occur. The food manufacturer estimates the probabilities of these two outcomes as being 0.4 and 0.6 respectively. A separate forecasting tool, estimates demand will equal two batches. In the past, this tool has correctly predicted demand in 60% of weeks, irrespective of what the level of demand turned out to be. To maximise his expected profit, the manufacturer should: Select one: a. produce 1 batch b. produce 2 batches c. be indifferent between producing 1 or 2 batches d. seek more information, as it is not possible to compute the expected profits from this information -- Correct Answer…
- Question 1 A A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutesfor cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits. a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution b. Graph the feasible region. c. Determine the coordinates of each extreme point. d. What is the optimal solution. e. Solve in excel.Question Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used,…Question 1 A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutes for cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits. a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution.b. Graph the feasible region.c. Determine the coordinates of each extreme point.
