Question b and c Question 5A farmer, planning spring planting has decided to plant up a total of 120 acres of corn and soybeans.An estimate of the investment required and the expected return per acre for each are given in the tablebelow.CropInvestmentReturnCorn$20$50Soybeans$35$80Because corn is needed for feed purposes on the farm, the farmer needs at least 38 acres of corn, andthe budget can cover at most $3000 for both corn and soybeans. Let x represent number of acres tobe planted in soybeans and y as the number of acres of corn.a) Based on the information above, write out 3 inequalities, other than x > 0, which best representthe constraints given.b) Using the graph paper, graph the constraints, label them accordingly and clearly mark the feasibleregion or the region of interest.c) Based on the information given in the table above, write out the objective function and using thecorner point method, determine how many acres of each crop needs to be planted to maximisethe return (profit).

Linear programming is a mathematical technique that is also used in operations management…

Answered: b) Using the graph paper, graph the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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 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 38 Pasensya Ka Na Ha God Bless Co., an investment company, is constructing a complex of four residential rental buildings that will have more than 100 units. The complex is in a geographic area that has a long rainy season. Which of the following steps would likely be most essential to monitoring and mitigating the risk of rain damage? a. Assuring compliance with local codes during construction b. Establish a reserve for capital expenditures, if needed c. Actively encouraging renters to report possible problems d. Monthly inspection by internal maintenance staff and annual assessment by external engineering firms Question 39 Which of the following is the best approach in assessing an organization's risk management approach? a. Consider multiple components of an organization's industry, culture, and objectives to determine the most effective risk management approach b. Find out what is the most common framework being used by competitors in the industry c.…
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 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 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 SIX (a) Suppose that a decision is faced with three decision alternatives and four states of nature. The following profit payoff table is constructed: Alternatives State of Nature 1S 2 S 3 S 4 S 1Α 2Α 3Α 18 15 13 12 14 16 15 10 19 8 11 15 Assuming that the decision maker has no knowledge about the probabilities of occurrence of the four states of nature, find the decisions to be recommended under each of the following criteria: iii. Minimax Reject criterion iv. Hurwicz criterion with 0.6 α =
Question 1 You may produce seven products by consuming three materials. The unit sales price and material consumption of each product are listed in Table 1. For each day, the supply of these three materials are limited. The supply limits are listed in Table 2. For each day, you need to determine the production quantity for each product. Product Price Material 1 Material 2 Material 3 1 100 0 3 10 2 120 5 10 10 3 135 5 3 9 4 90 4 6 3 5 125 8 2 8 6 110 5 2 10 7 105 3 2 7 Table 1: Product information for Problem 1 Material Supply limit 1 100 2 150 3 200 Table 2: Material information for Problem 1 Formulate a linear integer program that generates a feasible production plan to maximize the total profit (which is also the total revenue, as there is no cost in this problem). Then write a computer program…
Question 1The Rotary Club is holding a pizza sale to finance outreach projects. The Club made an agreement to purchase pizza from Pizza Hut at a 30% discount which the Rotary Club can then resell for a profit. It is expected that of the 500 families in the community, at most 70% will buy pizza. Based on a survey of their personal preferences, the students believe that they should orderno more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. They also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. The standard price (before discount) for the cheese, pepperoni and vegetarian is $12, $15 and $14, respectively. The Rotary Club makes a profit of 10%, 15% and 20%, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. a) Formulate a linear programming model that would determine the optimal solution. An explanation for the derivation of EACH equation should…
Question 5 The following game is played by 2 players Adam Jack Left Middle Right Up 1,2 3,5 2,1 Middle 0,4 2,1 3,0 Down -1,1 4,3 0,2 Solve the equilibrium for this game.
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,…

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