Exam 17: Decision-Making Tools

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If a decision maker knows for sure which state of nature will occur, he/she is making a decision under certainty.

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A toy manufacturer has three different mechanisms that can be installed in a doll that it sells. The different mechanisms have three different setup costs (overheads) and variable costs and, therefore, the profit from the dolls is dependent on the volume of sales. The anticipated payoffs are as follows. A toy manufacturer has three different mechanisms that can be installed in a doll that it sells. The different mechanisms have three different setup costs (overheads) and variable costs and, therefore, the profit from the dolls is dependent on the volume of sales. The anticipated payoffs are as follows.    (a) What is the EMV of each decision alternative? (b) Which action should be selected? (c) What is the expected value with perfect information? (d) What is the expected value of perfect information? (a) What is the EMV of each decision alternative? (b) Which action should be selected? (c) What is the expected value with perfect information? (d) What is the expected value of perfect information?

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(a) Wind-up = .1($325,000) + .3($190,000) + .6($170,000) = $191,500; Pneumatic = .1($300,000) + .3($420,000) + .6($400,000) = $396,000; and Electrical = .1(-$600,000) + .3($240,000) + .6($800,000) = $492,000. (b) Electrical has the best EMV, at $492,000. (c) EVwPI is .1($325,000) + .3($420,000) + .6($800,000) = $638,500; (d) EVPI = $638,500 - $492,000 = $146,500.

Which of the following options has the maximum EMV? Which of the following options has the maximum EMV?

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In terms of decision theory, an occurrence or situation over which the decision maker has no control is called a(n):

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The EMV of a decision with three states of nature is $33,000. If the profit/value under the states of nature A, B, and C is $10,000, $20,000, and $50,000, respectively, and states B and C have equal probabilities, determine the likelihood of state of nature A.

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An operations manager's staff has compiled the information below for four manufacturing alternatives (A, B, C, and D) that vary by production technology and the capacity of the machinery. All choices enable the same level of total production and have the same lifetime. The four states of nature represent four levels of consumer acceptance of the firm's products. Values in the table are net present value of future profits in millions of dollars. An operations manager's staff has compiled the information below for four manufacturing alternatives (A, B, C, and D) that vary by production technology and the capacity of the machinery. All choices enable the same level of total production and have the same lifetime. The four states of nature represent four levels of consumer acceptance of the firm's products. Values in the table are net present value of future profits in millions of dollars.     (a) Assuming a maximax strategy, which alternative would be chosen? (b) If maximin were used, which would be chosen? (c) If the states of nature were equally likely, which alternative should be chosen? (a) Assuming a maximax strategy, which alternative would be chosen? (b) If maximin were used, which would be chosen? (c) If the states of nature were equally likely, which alternative should be chosen?

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A 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"?

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The construction manager for Acme Construction, Inc. must decide whether to build single family homes, apartments, or condominiums. This is not a product-mix problem, but an all-or-nothing decision. He will hire workers and rent equipment appropriate for one action only. He estimates annual profits (in thousands of dollars) will vary with population trends as follows: The construction manager for Acme Construction, Inc. must decide whether to build single family homes, apartments, or condominiums. This is not a product-mix problem, but an all-or-nothing decision. He will hire workers and rent equipment appropriate for one action only. He estimates annual profits (in thousands of dollars) will vary with population trends as follows:    (a) If he uses the maximin criterion, which type of dwellings will he choose to build? Show your supporting calculations. (b) If he uses the equally likely criterion, which kind of dwellings will he choose to build? Show your supporting calculations. (c) If the construction manager were an optimist, what criterion would he choose? What would be the choice of dwelling for that criterion? Show your supporting calculations. (a) If he uses the maximin criterion, which type of dwellings will he choose to build? Show your supporting calculations. (b) If he uses the equally likely criterion, which kind of dwellings will he choose to build? Show your supporting calculations. (c) If the construction manager were an optimist, what criterion would he choose? What would be the choice of dwelling for that criterion? Show your supporting calculations.

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Earl Shell owns his own Sno-Cone business and lives 30 miles from a beach resort. The sale of Sno-Cones is highly dependent upon his location and upon the weather. At the resort, he will profit $120 per day in fair weather, $10 per day in bad weather. At home, he will profit $70 in fair weather, $55 in bad weather. Assume that on any particular day, the weather service suggests a 40% chance of foul weather. (a) Construct Earl's decision tree. (b) What decision is recommended by the expected value criterion?

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Identify, in order, the six steps of analytical decision making.

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________ is the difference between the payoff under perfect information and the payoff under risk.

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In the context of decision-making, define an alternative.

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A toy manufacturer makes stuffed kittens and puppies that have relatively lifelike motions. There are three different mechanisms which can be installed in these "pets." These toys will sell for the same price regardless of the mechanism installed, but each mechanism has its own variable cost and setup cost. Profit, therefore, is dependent upon the choice of mechanism and upon the level of demand. The manufacturer has in hand a forecast of demand that suggests a 0.2 probability of light demand, a 0.45 probability of moderate demand, and a probability of 0.35 of heavy demand. Payoffs for each mechanism-demand combination appear in the table below. A toy manufacturer makes stuffed kittens and puppies that have relatively lifelike motions. There are three different mechanisms which can be installed in these pets. These toys will sell for the same price regardless of the mechanism installed, but each mechanism has its own variable cost and setup cost. Profit, therefore, is dependent upon the choice of mechanism and upon the level of demand. The manufacturer has in hand a forecast of demand that suggests a 0.2 probability of light demand, a 0.45 probability of moderate demand, and a probability of 0.35 of heavy demand. Payoffs for each mechanism-demand combination appear in the table below.    Construct the appropriate decision tree to analyze this problem. Use standard symbols for the tree. Analyze the tree to select the optimal decision for the manufacturer. Construct the appropriate decision tree to analyze this problem. Use standard symbols for the tree. Analyze the tree to select the optimal decision for the manufacturer.

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What is the EMV for Option 2 in the following decision table? What is the EMV for Option 2 in the following decision table?

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The first step, and a key element, in the decision-making process is to:

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The maximin criterion is optimistic, while the maximax criterion is pessimistic.

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________ is the expected payout or value of a variable that has different possible states of nature, each with an associated probability.

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Which of the following is NOT considered a step in the decision-making process?

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What is a conditional value?

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All EXCEPT which of the following steps are taken to analyze problems with decision trees?

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