C a) Draw the decision tree. b) Compute the expected value for each decision and select the best one. c) Develop the opportunity loss table and compute the expected opportunity loss or each product. d) Determine how much the firm would be willing to pay to a market research firm to gain better information about future market condition.
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- A. A company wants to produce a souvenir with a marketing life of six months. Uncertainty surrounds the likely sales volume as well as the fixed costs of the venture as shown below: Sales units Probability Contrn. /unit Probability Fixed cost K7 K5 100 000 0.3 80 000 0.6 60 000 0.1 1.0 0.5 0.5 1.0 Determine the expected value of the contribution K400 000 K450 000 K500 000 Probability 0.2 0.5 0.3 1.0Sun TV sells TV sets. It does not sell smart TVs so customers do not come to Sun TV if they want to purchase smart TVs. Sun TV wants to start selling smart TVs and will only sell smart TVs to customers to whom they advertise. Managers use customer information (income level, previous purchase history) to decide which customers they should target. The team needs to decide how sure it must be in predicting customer interest in a smart TV. If it is too cautious, it will choose a very high cutoff probability and only market to customers who it believes are very likely to be in the market for a smart TV. This may cause them to miss out on many customers. If they are too aggressive and choose a low cutoff probability, they may identify more individuals interested in buying smart TVs but also end up wasting marketing dollars on customers who are not interested in purchasing smart TVs. To choose a cutoff probability, the team develops the confusion matrices below for two cutoff probabilities on…A company wants to produce a souvenir with a marketing life of sixmonths. Uncertainty surrounds the likely sales volume as well as thefixed costs of the venture as shown below:Sales units Probability Contrn. /unit Probability Fixed cost Probability100 000 0.3 K 7 0.5 K400 000 0.2 Page 5 of 80 000 0.6 K 5 0.5 K450 000 0.560 000 0.1 K500 000 0.31.0 1.0 1.0 Determine the expected value of the contribution
- A decision maker has prepared the following payoff table. States of Nature Alternative High Low Buy 90 10 Rent 60 35 Lease 50 40 Using the Maximax criterion, what is the best decision and the expected payoff? Best decision Payoff 3 of 5A decision maker has prepared the following payoff table. States of Nature Alternative High Low Buy 100 Rent 60 35 Lease 60 45 Using the Maximax criterion, what is the best decision and the expected payoff? Best decision PayoffA decision maker has prepared the following payoff table. States of Nature Alternative High Low 100 Buy Rent 80 45 Lease 50 40 Using the Maximin criterion, what is the best decision and the expected payoff? Best decision Payoff
- Wired & Plugged specializes in manufacturing modern electronic components. It also builds equipment that produces the components. The marketing and production directors advised the president about a proposed manufacturing facility in the form of a payoff table as shown. Decision Profits($) Strong Marked Fair Market Poor Market Large-sized facility Medium-sized facility Small- sized facility No facility 450,000 2500,000 350,000 0 220,000 150,000 150,000 0 -310,000 -250,000 -80,000 0 What decision should be made using the LaPlace criterion?Problem 1) The Nitro Fertilizer Company is developing a new fertilizer. If Nitro markets the product and it is successful, then the company will earn a $50,000 profit; if it is unsuccessful, the company will lose $50,000. In that past, similar products have been successful 55% of the time. At a cost of $10,000, the effectiveness of the new fertilizer can be tested. If the test result is favorable, there is an 80% chance that the fertilizer will be successful. If the test result is unfavorable, there is only a 30% chance that the fertilizer will be successful. There is a 60% chance of a favorable test result and a 40% chance of an unfavorable test result. a) Construct a decision tree to determine Nitro's optimal strategy b) Find the EVSI and EVPI Note I need solution of part A onlyProblem 1) The Nitro Fertilizer Company is developing a new fertilizer. If Nitro markets the product and it is successful, then the company will earn a $50,000 profit; if it is unsuccessful, the company will lose $50,000. In that past, similar products have been successful 55% of the time. At a cost of $10,000, the effectiveness of the new fertilizer can be tested. If the test result is favorable, there is an 80% chance that the fertilizer will be successful. If the test result is unfavorable, there is only a 30% chance that the fertilizer will be successful. There is a 60% chance of a favorable test result and a 40% chance of an unfavorable test result. a) Construct a decision tree to determine Nitro's optimal strategy b) Find the EVSI and EVPI I need solution of part (b) only
- 1. Procter, president of a food company, must decide whether to market a new breakfast drink which the R and D division has developed. A special meeting devoted to this topic yields the following information: ● The marketing vice-president has defined two possible outcomes for the success of this product; either the public will accept the product, or it will not. She believes that the product will be accepted with probability 0.1. ● The cost engineers believe that if the product is marketed and accepted, the company will net $100,000 yearly. If the product is rejected, however, the company will suffer a net loss of $20,000 yearly. If Procter decides not to market the product, her company will neither accrue more cost nor make any profit on this product. ● Procter always makes decisions based on the expected value of the outcomes.Exhibit 20-2Below is a payoff table involving three states of nature and two decision alternatives. Decision States of Nature Alternative s1 s2 s3 A 80 45 –20 B 40 50 15 P(s1) = .1, P(s2) = .6, and P(s3) = .3.Refer to Exhibit 20-2. The expected value of the best alternative equals _____. a. 12 b. 38.5 c. 29 d. 105A small parts manufacturer has just engineered a new product for the automotive industry. In order to produce the part the company can expand existing facilities, acquire a competitor, or subcontract production. The company believes the product will either experience high market demand or low market demand. The following payoff table describes the company's decision situation. Decision Expand Facilities Acquire Competitor Subcontract Production States of Nature acquire competitor expand facilities subcontract production select high demand High Demand $2,000,000 750,000 250,000 Low Demand -1,250,000 -500,000 25,000 The best decision for the manufacturer using the minimax regret decision criterion is to