Cheryl should build the facility. If demand proves to be low, then to stimulate demand. b) What is the value of this expected payoff? The expected payoff is $ (round your response to the nearest dollar).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Question
Ос.
O D.
230
230 Q
low (0.3)
low (0.7)
expand
expand
240
2
240
large
high (0.7)
small
high (0.3)
don't expand
213
don't expand
213
modest (0.4)
25
modest (0.6)
25
1
1
sizable
sizable
advertise
advertise
240
(0.6)
240
(0.4)
small
low (0.3)
large
low (0.3)
3
don't advertise
60
3
don't advertise
60
high (0.7)
high (0.7)
700
700
Cheryl should build the
facility. If demand proves to be low, then
to stimulate demand.
b) What is the value of this expected payoff?
The expected payoff is $
(round your response to the nearest dollar).
Transcribed Image Text:Ос. O D. 230 230 Q low (0.3) low (0.7) expand expand 240 2 240 large high (0.7) small high (0.3) don't expand 213 don't expand 213 modest (0.4) 25 modest (0.6) 25 1 1 sizable sizable advertise advertise 240 (0.6) 240 (0.4) small low (0.3) large low (0.3) 3 don't advertise 60 3 don't advertise 60 high (0.7) high (0.7) 700 700 Cheryl should build the facility. If demand proves to be low, then to stimulate demand. b) What is the value of this expected payoff? The expected payoff is $ (round your response to the nearest dollar).
Cheryl Druehl Retailers, Inc., must decide whether to build a small or a large facility at a new location in Fairfax. Demand at the location will either be low or high, with probabilities 0.3 and 0.7, respectively. If Cheryl builds a small facility and
demand proves to be high, she then has the option of expanding the facility. If a small facility is built and demand proves to be high, and then the retailer expands the facility, the payoff is $240,000. If a small facility is built and demand proves to
be high, but Cheryl then decides not to expand the facility, the payoff is $213,000.
If a small facility is built and demand proves to be low, then there is no option to expand and the payoff is $230,000. If a large facility is built and demand proves to be low, Cheryl then has the option of stimulating demand through local
advertising. If she does not exercise this option, then the payoff is $60,000. If she does exercise the advertising option, then the response to advertising will either be modest or sizable, with probabilities of 0.4 and 0.6, respectively. If the response
is modest, the payoff is $25,000. If it is sizable, the payoff is $240,000. Finally, if a large facility is built and demand proves to be high, then no advertising is needed and the payoff is $700,000.
a) What should Cheryl do to maximize her expected payoff?
Choose the correct decision tree below. Note that all payoffs are in $1,000s.
O A.
В.
230
230 Q
low (0.3)
low (0.3)
expand
expand
2
240
2
240
small
high (0.7)
small
Thigh (0.7)
don't expand
213
modest (0.4)
25
don't expand
213
modest (0.4)
25
1
1
sizable
sizable
240
(0.6)
advertise
advertise
240
(0.6)
large
low (0.3)
large
low (0.3)
3
don't advertise
60
3
don't advertise
60
high (0.7)
high (0.7)
700
700
Transcribed Image Text:Cheryl Druehl Retailers, Inc., must decide whether to build a small or a large facility at a new location in Fairfax. Demand at the location will either be low or high, with probabilities 0.3 and 0.7, respectively. If Cheryl builds a small facility and demand proves to be high, she then has the option of expanding the facility. If a small facility is built and demand proves to be high, and then the retailer expands the facility, the payoff is $240,000. If a small facility is built and demand proves to be high, but Cheryl then decides not to expand the facility, the payoff is $213,000. If a small facility is built and demand proves to be low, then there is no option to expand and the payoff is $230,000. If a large facility is built and demand proves to be low, Cheryl then has the option of stimulating demand through local advertising. If she does not exercise this option, then the payoff is $60,000. If she does exercise the advertising option, then the response to advertising will either be modest or sizable, with probabilities of 0.4 and 0.6, respectively. If the response is modest, the payoff is $25,000. If it is sizable, the payoff is $240,000. Finally, if a large facility is built and demand proves to be high, then no advertising is needed and the payoff is $700,000. a) What should Cheryl do to maximize her expected payoff? Choose the correct decision tree below. Note that all payoffs are in $1,000s. O A. В. 230 230 Q low (0.3) low (0.3) expand expand 2 240 2 240 small high (0.7) small Thigh (0.7) don't expand 213 modest (0.4) 25 don't expand 213 modest (0.4) 25 1 1 sizable sizable 240 (0.6) advertise advertise 240 (0.6) large low (0.3) large low (0.3) 3 don't advertise 60 3 don't advertise 60 high (0.7) high (0.7) 700 700
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