a)
To decide: What should BR Company do to maximize profit.
Introduction:
Decision tree:
A decision tree can be termed as map of all the possible outcomes that can arise from the series of related choices. It will allow an individual or an organization to weigh their outcomes in different bases of costs, probabilities and the benefits.
Expected monetary value (EMV):
Expected monetary value is the figure which shows the reasonable returns that can be received from a situation. It can be termed as an average of the best case scenario. It will include both the returns and the likelihood of that particular outcome occurring.
b)
To determine: The expected payoff for the given information.
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Chapter A Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
- Cheryl Druehl Retailers, Inc., must decide whether to build a small or a large facility at a new location in Fairfax. Demand at the location will either be low or high, with probabilities 0.6 and 0.4, respectively. If Cheryl builds a small facility and demand proves to be high, she then has the option of expanding the facility. If a small facility is built and demand proves to be high, and then the retailer expands the facility, the payoff is $290,000. If a small facility is built and demand proves to be high, but Cheryl then decides not to expand the facility, the payoff is $253,000. If a small facility is built and demand proves to be low, then there is no option to expand and the payoff is $220,000. If a large facility is built and demand proves to be low, Cheryl then has the option of stimulating demand through local advertising. If she does not exercise this option, then the payoff is $35,000. If she does exercise the advertising option, then the response to advertising will…arrow_forwardPhillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. As the suppliers all reside in a location prone to hurricanes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $480,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $16,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available. Find the EMV for alternatives using 1, 2, or 3 suppliers. EMV(1)=$54,40054,400 (Enter your response rounded to the nearest whole number.) EMV(2)= ? $ (Enter your response rounded to the nearest whole number.) EMV(3)= ? $ (Enter your response…arrow_forwardPhillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. As the suppliers all reside in a location prone to hurricanes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time at least 2 weeks is 2%. Such a total shutdown would cost the company approximately $480,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $14,800 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available. Find the EMV for alternatives using 1, 2, or 3 suppliers. EMV(1) = $ whole number.) EMV (2)=$_ EMV(3)=$ (Enter your response rounded to the nearest Based on the EMV value, the best choice to use is... a. one supplier b. two suppliersarrow_forward
- APC industries has been experiencing significant growth and has been having difficulty meeting customer demands recently. They are considering three options to address this issue. They can move to a larger facility, add a second shift or use a subcontractor to assist in production. The annual payoff of each option depends on if the current market continues to expand hold s steady or declines. The expected payoff for each combination is shown in the table below Option Expand Steady Decline Move to larger facility 250,000 125,000 -90,000 Add a second shift 175,000 80,000 -45,000 Subcontract 90,000 15,000 -10,000 Which option should APC choose with the Hurwicz criterion with α = 0.5? Using a minimax regret approach, what alternative should she choose? After reading about economic predictions, APC has assigned the probability that the market will be expanded, or be steady or be weak at 20%, 50%, and 30 %. Using expected monetary values, what option should be chosen, and what…arrow_forwardA retailer must decide whether to build a small or a large facility at a new location. Demand at the location can be either low or high, with probabilities estimated to be 0.4 and 0.6, respectively. If a small facility is built and demand proves to be high, the manager may choose not to expand (payoff = $223,000) or to expand (payoff = $270,000). If a small facility is built and demand is low, there is no reason to expand and the payoff is $200,000. If a large facility is built and demand proves to be low, the choice is to do nothing ($40,000) or to stimulate demand through local advertising. The response to advertising may be either modest or sizable, with their probabilities estimated to be 0.3 and 0.7, respectively. If it is modest, the payoff is estimated to be only $20,000; the payoff grows to $220,000 if the response is sizable. Finally, if a large facility is built and demand turns out to be high, the payoff is $800,000.Draw a decision tree. Then analyze it to determine the…arrow_forwardHemmingway, Inc. is considering a $5 million research and development (R&D) project. Profit projections appear promising, but Hemmingway's president is concerned because the probability that the R&D project will be successful is only 0.50. Furthermore, the president knows that even if the project is successful, it will require that the company build a new production facility at a cost of $20 million in order to manufacture the product. If the facility is built, uncertainty remains about the demand and thus uncertainty about the profit that will be realized. Another option is that if the R&D project is successful, the company could sell the rights to the product for an estimated $25 million. Under this option, the company would not build the $20 million production facility. The decision tree follows. The profit projection for each outcome is shown at the end of the branches. For example, the revenue projection for the high demand outcome is $59 million. However, the cost of the R&D…arrow_forward
- Johnson Chemicals is considering two options for itssupplier portfolio. Option I uses two local suppliers. Each hasa " unique-event" risk of 5%, and the probability of a " superevent"that would disable both at the same time is estimated to be1.5%. Option 2 uses two suppliers located in different countries.Each has a "unique-event" risk of 13%, and the probability of a"super-event" that would disable both at the same time is estimatedto be 0.2%.a) What is the probability that both suppliers will be disrupted using option I?b) What is the probability that both suppliers will be disrupted using option 2?c) Which option would provide the lowest risk of a total shutdown?arrow_forwardA retailer is deciding how many units of a certain product to stock. The historical probability distribution of sales for this product is 0 units, 0.2; 1 unit, 0.3; 2 units, 0.4, and 3 units, 0.1. The product costs $11 per unit and sells for $25 per unit. What is the conditional value for the decision alternative "Stock 3" and state of nature "Sell 1"?arrow_forwardProblem 1: A government committee is considering the economic benefits of a program of preventative flu vaccinations. We will assume that the flu vaccine is completely effective so if the vaccine is implemented, there will be no flu cases. It is estimated that a vaccination program will cost $9 million and that the probability of flu striking in the next year is 0.70. If vaccinations are not introduced then the estimated cost to the government if flu strikes in the next year is $7 million with probability 0.15, $10 million with probability 0.25 and $15 million with probability 0.6. One alternative open to the committee is to institute an "early-warning" monitoring scheme (costing $3 million) which will enable it to detect an outbreak of flu early and therefore decide whether or not to institute a rush vaccination program (costing $12 million because of the need to vaccinate quickly before the outbreak spreads, again with the vaccine being completely effective) or to do nothing with…arrow_forward
- Machado Construction is considering two options for its supplier portfolio. Option 1 uses two local suppliers. Each has a "unique-event" risk of 8%, and the probability of a "super-even" that would disable both at the same time is estimated to be 2.5%. Option 2 uses two suppliers located in different countries. Each has a "unique-event" risk of 18%, and the probability of a "super-event" that would disable both at the same time is estimated to be 1.2%. (a) What is the probability that both suppliers will be disrupted using option 1? (b) What is the probability that both suppliers will be disrupted using option 2? (c) Which option would provide the lowest risk of a total shutdown?arrow_forwardPhillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. Suppose that Phillip is willing to use one local supplier and up to two more located in other territories within the country. This would reduce the probability of a "super-event" that might shut down all suppliers at the same time at least 2 weeks to 0.5%, but due to increased distance the annual costs for managing each of the distant suppliers would be $25,000 (still $15 comma 000 for the local supplier). A total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the local supplier would be the first one chosen, how many suppliers should Witt Input Devices use? Find the EMV for alternatives using 1, 2, or 3 suppliers. EMV(1)equals=$ (Enter your response rounded to the nearest wholenumber.) EMV(2)equals=$ (Enter your response rounded to the nearest…arrow_forwardThe owner of the Columbia Construction Company must decide between building a housing development, constructing a shopping center, and leasing all the company’s equipment to another company. The profit that will result from each alternative will be determined by whether material costs remain stable or increase. The profit from each alternative, given the two possibilities for material costs, is shown in the following payoff table: Material Costs Decision Stable Increase Houses $70,000 $30,000 Shopping center 105,000 20,000 Leasing 40,000 40,000 Determine the best decision, using the following decision criteria. a. Maximax b. Maximin c. Minimax regret d. Hurwicz e. Equal likelihoodarrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning