1 The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Cost($) 10 11 12 Probability 0.25 0.45 0.30 Labor Cost ($) 20 22 24 25 Probability 0.10 0.25 0.35 0.30 Transportation Cost ($) 3 5 Probability 0.75 0.25 (a) Compute profit per unit for the base-case, worst-case, and best-case scenarios. Base Case using most likely costs Profit = $ /unit Worst Case Profit = $ /unit Best Case Profit = $ /unit (b) Construct a simulation model to estimate the mean profit per unit. (Use at least 1,000 trials.) (c) Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios? Simulation will provide ---Select--- ✓of the profit per unit values which can then be used to find ---Select--- ✓of an unacceptably low profit. (d) Management believes the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability the profit per unit will be less than $5. (Round your answer to three decimal places.)
1 The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Cost($) 10 11 12 Probability 0.25 0.45 0.30 Labor Cost ($) 20 22 24 25 Probability 0.10 0.25 0.35 0.30 Transportation Cost ($) 3 5 Probability 0.75 0.25 (a) Compute profit per unit for the base-case, worst-case, and best-case scenarios. Base Case using most likely costs Profit = $ /unit Worst Case Profit = $ /unit Best Case Profit = $ /unit (b) Construct a simulation model to estimate the mean profit per unit. (Use at least 1,000 trials.) (c) Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios? Simulation will provide ---Select--- ✓of the profit per unit values which can then be used to find ---Select--- ✓of an unacceptably low profit. (d) Management believes the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability the profit per unit will be less than $5. (Round your answer to three decimal places.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Step 1: Write the given information.
VIEWStep 2: Construct the simulation model to estimate the mean profit per unit.
VIEWStep 3: Create a blank table with 1000 columns for conducting 1000 replications using data table.
VIEWStep 4: Explain why simulations to risk analysis is preferable to generating a variety of what-if scenarios.
VIEWStep 5: Determine the probability of profit per unit being less than $5.
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