Southland Corporation's decision to produce a new line of recreational products has resulted in the need to choose one of two automated manufacturing systems based on proposals from two vendors, A and B. The economics of this decision depends on the market reaction to the new product line. The possible long-run demand has been defined as low, medium, or high. Based on detailed financial analyses of system costs as a function of volume and sales under each demand scenario, the following payoff table gives the projected profits in millions of dollars.   Long-Run Demand Decision Low Medium High Vendor A $230   $300   $300   Vendor B $140   $300   $650   Determine the best decisions using the maximax, maximin, and opportunity loss decision criteria. Using the maximax criterion, choose . Using the maximin criterion, choose . To minimize the maximum opportunity loss, choose . Assume that the best estimate of the probability of low long-run demand is 0.30, of medium long-run demand is 0.15, and of high long-run demand is 0.55. What is the best decision using the expected value criterion? Round your answers to two decimal places. The expected payoff for Vendor A is $   million. The expected payoff for Vendor B is $   million.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Southland Corporation's decision to produce a new line of recreational products has resulted in the need to choose one of two automated manufacturing systems based on proposals from two vendors, A and B. The economics of this decision depends on the market reaction to the new product line. The possible long-run demand has been defined as low, medium, or high. Based on detailed financial analyses of system costs as a function of volume and sales under each demand scenario, the following payoff table gives the projected profits in millions of dollars.

  Long-Run Demand
Decision Low Medium High
Vendor A $230   $300   $300  
Vendor B $140   $300   $650  
  1. Determine the best decisions using the maximax, maximin, and opportunity loss decision criteria.

    Using the maximax criterion, choose .

    Using the maximin criterion, choose .

    To minimize the maximum opportunity loss, choose .

  2. Assume that the best estimate of the probability of low long-run demand is 0.30, of medium long-run demand is 0.15, and of high long-run demand is 0.55. What is the best decision using the expected value criterion? Round your answers to two decimal places.

    The expected payoff for Vendor A is $   million.

    The expected payoff for Vendor B is $   million.

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