Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
9th Edition
ISBN: 9781119371618
Author: Roberta S. Russell
Publisher: Wiley (WileyPLUS Products)
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 1.S, Problem 13P
Summary Introduction
To draw: The expected value of each decision and the expected value of perfect information.
Introduction: Decision analysis can be interpreted as the most common technique to make a decision in the situation when there is uncertainty. It uses quantitative measures to analyze the decision that is also used in operation of the firms.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
9.
A decision-maker has two alternative courses of action,
A1
and
A2.
There are three possible states of nature,
S1,
S2,
and
S3.
The table of conditional profits, as well as the probabilities for the states of nature, appear below. Based on this decision table, which decision alternative produces the higher EMV?
States of Nature
Alternatives
S1
S2
S3
A1
10,000
20,000
6,000
A2
5,000
30,000
15,000
Probability
0.3
0.5
0.2
Part 2
The best decision is
▼
a. alternative Upper A 1alternative A1
b. alternative Upper A 2alternative A2
,
with an
EMV=$________(enter your response as a whole number).
The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars):
State of Nature
Low Demand
Medium Demand
High Demand
Decision Alternative
s1
s2
s3
Manufacture, d1
-20
40
100
Purchase, d2
10
45
70
The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30.
Use a decision tree to recommend a decision.Recommended decision:
Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.
EVPI: $ fill in the blank 3
A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows:
P(F | s1) = 0.10
P(U | s1) = 0.90
P(F | s2) = 0.40
P(U |…
The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
States of Nature
Decision
Alternative
$1
52
53
d1
d2
240
90
15
90
90
65
Suppose that the decision maker obtained the probabilities P(s₁) = 0.65, P(s2) = 0.15, and P(S3) = 0.20. Use the expected value approach to determine the optimal decision.
EV(d₁)
EV(d2)
=
=
The optimal decision is --?--✓
Chapter 1 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
Ch. 1.S - Prob. 1PCh. 1.S - Prob. 2PCh. 1.S - Prob. 3PCh. 1.S - Prob. 4PCh. 1.S - Prob. 5PCh. 1.S - In Problem S1-5 assume that Nicole, with the help...Ch. 1.S - Prob. 7PCh. 1.S - Prob. 8PCh. 1.S - Telecomp, a computer manufacturer with a global...Ch. 1.S - Prob. 10P
Ch. 1.S - Prob. 11PCh. 1.S - Prob. 12PCh. 1.S - Prob. 13PCh. 1.S - Prob. 14PCh. 1.S - Prob. 15PCh. 1.S - Prob. 16PCh. 1.S - Prob. 17PCh. 1.S - Prob. 18PCh. 1.S - In Problem S1-18, assume the Weight Club is able...Ch. 1.S - Prob. 20PCh. 1.S - Prob. 21PCh. 1.S - Prob. 22PCh. 1.S - Prob. 23PCh. 1.S - Prob. 24PCh. 1.S - Prob. 25PCh. 1.S - Prob. 26PCh. 1.S - Prob. 27PCh. 1.S - Prob. 28PCh. 1.S - Prob. 29PCh. 1.S - Prob. 30PCh. 1.S - Prob. 31PCh. 1.S - Prob. 33PCh. 1.S - Prob. 34PCh. 1.S - Alex Mason has a wide-curving, uphill driveway...Ch. 1.S - Prob. 36PCh. 1.S - Prob. 39PCh. 1.S - Prob. 40PCh. 1.S - State University has three healthcare plans for...Ch. 1.S - The Orchard Wine Company purchases grapes from one...Ch. 1.S - Prob. 43PCh. 1.S - Prob. 1.1CPCh. 1.S - Prob. 2.1CPCh. 1.S - Evaluating Projects at Nexcom Systems Nexcom...Ch. 1 - Feeding America Each year, the Feeding America...Ch. 1 - Feeding America Each year, the Feeding America...Ch. 1 - Feeding America Each year, the Feeding America...Ch. 1 - Feeding America Each year, the Feeding America...Ch. 1 - Prob. 1QCh. 1 - What constitutes operations at (a) a bank, (b) a...Ch. 1 - Prob. 3QCh. 1 - Prob. 4QCh. 1 - Prob. 5QCh. 1 - Prob. 17QCh. 1 - What is the difference between an order winner and...Ch. 1 - Prob. 21QCh. 1 - Prob. 22QCh. 1 - Prob. 23QCh. 1 - Prob. 24QCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Omar Industries maintains production facilities in...Ch. 1 - Rushing yardage for three Heisman Trophy...Ch. 1 - Carpet City recorded the following data on carpet...Ch. 1 - Prob. 9PCh. 1 - Prob. 10PCh. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Prob. 14PCh. 1 - Prob. 15PCh. 1 - Prob. 1.1CPCh. 1 - Prob. 1.2CPCh. 1 - Prob. 1.3CPCh. 1 - Prob. 1.4CPCh. 1 - Prob. 1.5CPCh. 1 - Prob. 2.1CPCh. 1 - Prob. 2.2CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Play Things is developing a new Lady Gaga doll. The company has made the following assumptions: The doll will sell for a random number of years from 1 to 10. Each of these 10 possibilities is equally likely. At the beginning of year 1, the potential market for the doll is two million. The potential market grows by an average of 4% per year. The company is 95% sure that the growth in the potential market during any year will be between 2.5% and 5.5%. It uses a normal distribution to model this. The company believes its share of the potential market during year 1 will be at worst 30%, most likely 50%, and at best 60%. It uses a triangular distribution to model this. The variable cost of producing a doll during year 1 has a triangular distribution with parameters 15, 17, and 20. The current selling price is 45. Each year, the variable cost of producing the doll will increase by an amount that is triangularly distributed with parameters 2.5%, 3%, and 3.5%. You can assume that once this change is generated, it will be the same for each year. You can also assume that the company will change its selling price by the same percentage each year. The fixed cost of developing the doll (which is incurred right away, at time 0) has a triangular distribution with parameters 5 million, 7.5 million, and 12 million. Right now there is one competitor in the market. During each year that begins with four or fewer competitors, there is a 25% chance that a new competitor will enter the market. Year t sales (for t 1) are determined as follows. Suppose that at the end of year t 1, n competitors are present (including Play Things). Then during year t, a fraction 0.9 0.1n of the company's loyal customers (last year's purchasers) will buy a doll from Play Things this year, and a fraction 0.2 0.04n of customers currently in the market ho did not purchase a doll last year will purchase a doll from Play Things this year. Adding these two provides the mean sales for this year. Then the actual sales this year is normally distributed with this mean and standard deviation equal to 7.5% of the mean. a. Use @RISK to estimate the expected NPV of this project. b. Use the percentiles in @ RISKs output to find an interval such that you are 95% certain that the companys actual NPV will be within this interval.arrow_forwardBased on Babich (1992). Suppose that each week each of 300 families buys a gallon of orange juice from company A, B, or C. Let pA denote the probability that a gallon produced by company A is of unsatisfactory quality, and define pB and pC similarly for companies B and C. If the last gallon of juice purchased by a family is satisfactory, the next week they will purchase a gallon of juice from the same company. If the last gallon of juice purchased by a family is not satisfactory, the family will purchase a gallon from a competitor. Consider a week in which A families have purchased juice A, B families have purchased juice B, and C families have purchased juice C. Assume that families that switch brands during a period are allocated to the remaining brands in a manner that is proportional to the current market shares of the other brands. For example, if a customer switches from brand A, there is probability B/(B + C) that he will switch to brand B and probability C/(B + C) that he will switch to brand C. Suppose that the market is currently divided equally: 10,000 families for each of the three brands. a. After a year, what will the market share for each firm be? Assume pA = 0.10, pB = 0.15, and pC = 0.20. (Hint: You will need to use the RISKBINOMLAL function to see how many people switch from A and then use the RISKBENOMIAL function again to see how many switch from A to B and from A to C. However, if your model requires more RISKBINOMIAL functions than the number allowed in the academic version of @RISK, remember that you can instead use the BENOM.INV (or the old CRITBENOM) function to generate binomially distributed random numbers. This takes the form =BINOM.INV (ntrials, psuccess, RAND()).) b. Suppose a 1% increase in market share is worth 10,000 per week to company A. Company A believes that for a cost of 1 million per year it can cut the percentage of unsatisfactory juice cartons in half. Is this worthwhile? (Use the same values of pA, pB, and pC as in part a.)arrow_forwardAn automobile manufacturer is considering whether to introduce a new model called the Racer. The profitability of the Racer depends on the following factors: The fixed cost of developing the Racer is triangularly distributed with parameters 3, 4, and 5, all in billions. Year 1 sales are normally distributed with mean 200,000 and standard deviation 50,000. Year 2 sales are normally distributed with mean equal to actual year 1 sales and standard deviation 50,000. Year 3 sales are normally distributed with mean equal to actual year 2 sales and standard deviation 50,000. The selling price in year 1 is 25,000. The year 2 selling price will be 1.05[year 1 price + 50 (% diff1)] where % diff1 is the number of percentage points by which actual year 1 sales differ from expected year 1 sales. The 1.05 factor accounts for inflation. For example, if the year 1 sales figure is 180,000, which is 10 percentage points below the expected year 1 sales, then the year 2 price will be 1.05[25,000 + 50( 10)] = 25,725. Similarly, the year 3 price will be 1.05[year 2 price + 50(% diff2)] where % diff2 is the percentage by which actual year 2 sales differ from expected year 2 sales. The variable cost in year 1 is triangularly distributed with parameters 10,000, 12,000, and 15,000, and it is assumed to increase by 5% each year. Your goal is to estimate the NPV of the new car during its first three years. Assume that the company is able to produce exactly as many cars as it can sell. Also, assume that cash flows are discounted at 10%. Simulate 1000 trials to estimate the mean and standard deviation of the NPV for the first three years of sales. Also, determine an interval such that you are 95% certain that the NPV of the Racer during its first three years of operation will be within this interval.arrow_forward
- The following payoff table shows a profit for a decision analysis problem with two decision alternatives and three states of nature. In order to get full credit, show your all work done step by step including cell calculations using excel functions. State of Nature Decion Alternatives s1 s2 s3 d1 250 100 50 d2 100 75 100 a) Construct a decision tree for this problem. b) Suppose that the decision-maker obtains the probabilities P(s1)=0.65, P(s2)=0.15, and P(s3)=0.20. Use the expected value approach to determine the optimal decision.arrow_forwardAn electronics factory operates on four production lines: laptops, mobiles, desktop computers, smart boards, and there were three cases of demand (weak, medium, and high), and the matrix of returns was as follows: Laptops Mobiles Risk Desktop Computers Smart Boards High 40 45 35 30 Economic state Medium 25 15 30 20 1. The problem presented above is decision-making under Certainty Uncertainty Weak 10 5 -10 -5 Save All Answers Save and Submitarrow_forwardThe following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative S1 S2 S3 di 150 100 25 d2 100 100 75 (a) Choose the correct decision tree for this problem. (i) (ii) S1 150 150 $2 2 100 di $3 100 25 83 d2 25 100 d2 $2 3 3 100 $3 S3 75 75 (iii) S1 (iv) 150 150 2 2 d2 100 100 100 100 S2 3 3 $2 100 100 d2 $3 di 25 25 $3 4 S3 75 75 |- Select your answer - v (b) If the decision maker knows nothing about the probabilities of the three states of nature, what is the recommended decision using the optimistic, conservative, and minimax regret approaches? Optimistic approach Select your answer - v Conservative approach Select your answer - V Minimax regret approach - Select your answerarrow_forward
- A paint company has three sources for buying bright red pigment for its paints: Vietnam, Taiwan, and Thailand. Unfortunately, the pigment is made from a bush whose annual growth is heavily dependent upon the amount of rainfall during the growing season. The following tables show probabilities and prices for wet, dry, and normal growing seasons. Probabilities Wet Dry Normal Vietnam 0.5 0.2 Taiwan 0.6 0.3 Thailand 0.4 0.4 Price/Pound ($) Vietnam 0.96 1.11 Taiwan 0.86 1.25 Wet Dry Normal Thailand 0.92 1.19 0.3 What country shoul the company select? Thailand Taiwan Vietnam 0.1 0.2 1.05 0.99 1.06 What is the expected value (price) associated with it?arrow_forwardThe following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. Decision Alternative d₁ d₂ States of Nature 51 5₂ 53 260 110 35 110 110 85 The probabilities for the states of nature are P(S₁) = 0.65, P(S₂) = 0.15, and P(s) = 0.20. (a) What is the optimal decision strategy if perfect information were available? If s, then? ;If s₂ then 2 ✓; If s₂ then ? (b) What is the expected value for the decision strategy developed in part (a)? (c) Using the expected value approach, what is the recommended decision without perfect information? What is its expected value? The recommended decision without perfect information is ? EV = (d) What is the expected value of perfect information? EVPI =arrow_forwardRefer to Problems 1 and 2. Construct a graph that will enable you to perform sensitivity analysis on the problem. Over what range of P(high) would the alternative of doing nothing be best? Expand? Subcontract?arrow_forward
- Given the decision tree below, determine which alternative should be purchase given the probability of poor and good economic conditions. Explain your answer.arrow_forwardDevelop a decision analysis formulation of this problem by identifying the decision alternatives, state of nature, and the payoff table.arrow_forwardThe Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent on the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s 1 s 2 s 3 Manufacture, d 1 -20 40 100 Purchase, d 2 10 45 70 The state-of-nature probabilities are P(s1) = 0.25, P(s2) = 0.25, and P(s3) = 0.50 (a) Use a decision tree to recommend a decision. (b) Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand. Enter your answer in thousands dollars. For example, an answer of $200 thousands should be entered as 200,000. Gorman attempt to obtain a better estimate of demand, as the additional information could be worth up to $ for Gorman. (c) A test market study of the potential…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,