5. Determine the course of action that has the highest expected payoff for this decision tree.

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5. Determine the course of action that has the highest expected payoff for this decision tree.
$1.0*
$1.3
Do nothing
Medium demand (.5)
Large demand (.1)
Small demand (.4)
Expand
$1.3
Do nothing
Expand
$1.5
$1.6
Build
$1.8
Do nothing
Other use #1
$0.7
$1.5
Small demand (.4)
Medium demand (.5)
Other use #2
$1.0
Expand
$1.6
Large demand (.1)
Do nothing
Subcontract
$1.6
$1.5
Build
$1.7
($0.9)
Do nothing
Other use #1
Small demand (.4)
Medium demand (.5),
$1.4
Other use #2
$1.0
$1.0
Large demand (.1)
Do nothing
Other use #1
$1.1
Other use #2
$0.9
* Net present value in millions
$2.4
Subcontract
Build
Transcribed Image Text:5. Determine the course of action that has the highest expected payoff for this decision tree. $1.0* $1.3 Do nothing Medium demand (.5) Large demand (.1) Small demand (.4) Expand $1.3 Do nothing Expand $1.5 $1.6 Build $1.8 Do nothing Other use #1 $0.7 $1.5 Small demand (.4) Medium demand (.5) Other use #2 $1.0 Expand $1.6 Large demand (.1) Do nothing Subcontract $1.6 $1.5 Build $1.7 ($0.9) Do nothing Other use #1 Small demand (.4) Medium demand (.5), $1.4 Other use #2 $1.0 $1.0 Large demand (.1) Do nothing Other use #1 $1.1 Other use #2 $0.9 * Net present value in millions $2.4 Subcontract Build
1.
The following solved problems refer to this payoff table:
New
No
Bridge
Built
New
Bridge
Alternative capacity
A
1
14
for new store
2
10
4
6
where A = small, B = medium, and C = large.
Assume the payoffs represent profits. Determine the alternative that would be chosen under each of
these decision criteria:
a. Maximin.
b. Маximax.
c. Laplace.
2.
Using the information in the payoff table, develop a table of regrets, and then
a. Determine the alternative that would be chosen under minimax regret.
b. Determine the expected value of perfect information using the regret table, assuming that the
probability of a new bridge being built is .60.
3.
Using the probabilities of .60 for a new bridge and .40 for no new bridge,
a. Compute the expected value of each alternative in the payoff table, and identify the alternative
that would be selected under the expected-value approach.
b. Construct a decision tree for the problem showing expected values.
Compute the EVPI using the information from the previous problem.
4.
Transcribed Image Text:1. The following solved problems refer to this payoff table: New No Bridge Built New Bridge Alternative capacity A 1 14 for new store 2 10 4 6 where A = small, B = medium, and C = large. Assume the payoffs represent profits. Determine the alternative that would be chosen under each of these decision criteria: a. Maximin. b. Маximax. c. Laplace. 2. Using the information in the payoff table, develop a table of regrets, and then a. Determine the alternative that would be chosen under minimax regret. b. Determine the expected value of perfect information using the regret table, assuming that the probability of a new bridge being built is .60. 3. Using the probabilities of .60 for a new bridge and .40 for no new bridge, a. Compute the expected value of each alternative in the payoff table, and identify the alternative that would be selected under the expected-value approach. b. Construct a decision tree for the problem showing expected values. Compute the EVPI using the information from the previous problem. 4.
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