3. 2. Suppose that a decision maker faced with four decision alternatives and four nature develops the following profit payoff table: Decision Alternative C. dy d₂ dy da 14 11 9 8 State of Nature 9 10 10 10 10 8 10 11 a. If the decision maker knows nothing about the probabilities of the four states of nature what is the recommended decision using the optimistic, conservative, and minim regret approaches? b. Which approach do you prefer? Explain. Is establishing the most appropriate p proach before analyzing the problem important for the decision maker? Explain. Assume that the payoff table provides cost rather than profit payoffs. What is the recommended decision using the optimistic, conservative, and minimax regret approaches Southland Corporation's decision to produce a new line of recreational

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Chapter9: Decision Making Under Uncertainty
Section9.4: The Precision Tree Add-in
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Chapter 13 Decision Analysis
2. Suppose that a decision maker faced with four decision alternatives and four
nature develops the following profit payoff table:
Decision Alternative
C.
di
d₂
dy
da
Plant Size
Small
Large
S1
14
11
Low
150
50
9
8
Dealer
Hepburn Honda
Midtown Motors
Hopkins Automotive
State of Nature
82
9
10
10
10
a. If the decision maker knows nothing about the probabilities of the four states of nature
what is the recommended decision using the optimistic, conservative, and minima
regret approaches?
b. Which approach do you prefer? Explain. Is establishing the most appropriate ap
Assume that the payoff table provides cost rather than profit payoffs. What is the
proach before analyzing the problem important for the decision maker? Explain.
recommended decision using the optimistic, conservative, and minimax regret approaches!
3. Southland Corporation's decision to produce a new line of recreational products resulted
in the need to construct either a small plant or a large plant. The best selection of plant size
depends on how the marketplace reacts to the new product line. To conduct an analysis,
marketing management has decided to view the possible long-run demand as low, me
dium, or high. The following payoff table shows the projected profit in millions of dollars
Monthly Cost
$299
$310
$325
10
8
10
11
Long-Run Demand
Medium
200
200
"
S
7
11
Mileage Allowance
36,000
45,000
54,000
a.
What is the decision to be made, and what is the chance event for Southland's problem?
b. Construct an influence diagram.
c. Construct a decision tree.
d. Recommend a decision based on the use of the optimistic, conservative, and minimax
regret approaches.
13
4. Amy Lloyd is interested in leasing a new Honda and has contacted three automobile deal-
ers for pricing information. Each dealer offered Amy a closed-end 36-month lease with
no down payment due at the time of signing. Each lease includes a monthly charge and a
mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly
lease cost, the mileage allowance, and the cost for additional miles follow:
High
200
500
Cost per
Additional Mile
$0.15
$0.20
$0.15
Amy decided to choose the lease option that will minimize her total 36-month cost. The di
Transcribed Image Text:st Chapter 13 Decision Analysis 2. Suppose that a decision maker faced with four decision alternatives and four nature develops the following profit payoff table: Decision Alternative C. di d₂ dy da Plant Size Small Large S1 14 11 Low 150 50 9 8 Dealer Hepburn Honda Midtown Motors Hopkins Automotive State of Nature 82 9 10 10 10 a. If the decision maker knows nothing about the probabilities of the four states of nature what is the recommended decision using the optimistic, conservative, and minima regret approaches? b. Which approach do you prefer? Explain. Is establishing the most appropriate ap Assume that the payoff table provides cost rather than profit payoffs. What is the proach before analyzing the problem important for the decision maker? Explain. recommended decision using the optimistic, conservative, and minimax regret approaches! 3. Southland Corporation's decision to produce a new line of recreational products resulted in the need to construct either a small plant or a large plant. The best selection of plant size depends on how the marketplace reacts to the new product line. To conduct an analysis, marketing management has decided to view the possible long-run demand as low, me dium, or high. The following payoff table shows the projected profit in millions of dollars Monthly Cost $299 $310 $325 10 8 10 11 Long-Run Demand Medium 200 200 " S 7 11 Mileage Allowance 36,000 45,000 54,000 a. What is the decision to be made, and what is the chance event for Southland's problem? b. Construct an influence diagram. c. Construct a decision tree. d. Recommend a decision based on the use of the optimistic, conservative, and minimax regret approaches. 13 4. Amy Lloyd is interested in leasing a new Honda and has contacted three automobile deal- ers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow: High 200 500 Cost per Additional Mile $0.15 $0.20 $0.15 Amy decided to choose the lease option that will minimize her total 36-month cost. The di
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