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Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhand market lead you to believe that if you commit to a price of $400,000, there is a 0.4 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.25 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.1 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.) Posted Price Expected Value ($) Probability of Sale ($) $500,000 0.1 $450,000 0.25 $400,000 0.4 In order to maximize the expected profit of the potential sale, which posted price would you commit to in order to maximize the expected value of the potential sale of the machine? O $450,000 O $500,000 O $400,000

Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhand market lead you to believe that if you commit to a price of $400,000, there is a 0.4 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.25 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.1 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.) Posted Price Expected Value ($) Probability of Sale ($) $500,000 0.1 $450,000 0.25 $400,000 0.4 In order to maximize the expected profit of the potential sale, which posted price would you commit to in order to maximize the expected value of the potential sale of the machine? O $450,000 O $500,000 O $400,000

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhand market lead you to believe that if you commit to a price of $400,000, there is a 0.4 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.25 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.1 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.) Posted Price Expected Value ($) Probability of Sale ($) $500,000 0.1 $450,000 0.25 $400,000 0.4 In order to maximize the expected profit of the potential sale, which posted price would you commit to in order to maximize the expected value of the potential sale of the machine? O $450,000 O $500,000 O $400,000
Transcribed Image Text:Your company has a customer who is shutting down a production line, and it is your responsibility to dispose of the extrusion machine. The company could keep it in inventory for a possible future product and estimates that the reservation value is $350,000. Your dealings on the secondhand market lead you to believe that if you commit to a price of $400,000, there is a 0.4 chance you will be able to sell the machine. If you commit to a price of $450,000, there is a 0.25 chance you will be able to sell the machine. If you commit to a price of $500,000, there is a 0.1 chance you will be able to sell the machine. These probabilities are summarized in the following table. For each posted price, enter the expected value of attempting to sell the machine at that price. (Hint: Be sure to take into account the value of the machine to your company in the event that you are not be able to sell the machine.) Posted Price Expected Value ($) Probability of Sale ($) $500,000 0.1 $450,000 0.25 $400,000 0.4 In order to maximize the expected profit of the potential sale, which posted price would you commit to in order to maximize the expected value of the potential sale of the machine? O $450,000 O $500,000 O $400,000
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