You are a fruit vendor in the Coronation Market in Kingston Jamaica. You are facing the decision to purchase 100, 120 or 130 bags of oranges for resale each week. However, you are not sure of the demand-per week. You also consider that you can move around the market, depending on the number of bags, selling for different prices you have and you can also sell surplus for a reduced price. The payoff table below gives the details of the possible profit for each of these combinations. What is the.optimal decision, using the Maximin criterion? Payoff Table Profits($) Weekly Demand (State of Nature) Average Decision (Purchase) Below Robust Par 75000 100 Bags 120 Bags 130 Bags 50000 65000 45000 55000 75000 90000 65000 110000 Select one: O a. Purchase 100 bags (expected profit = $50,000) O b. Purchase 120 bags (expected profit = $65,000)- O c. Purchase 130 bags (expected profit = $45,000) o d. Purchase 130 bags (expected profit = $65,000)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.3: Pricing Models
Problem 9P
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DS
You are a fruit vendor in the Coronation Market in Kingston Jamaica. You are facing the decision to purchase 100, 120 or 130 bags of oranges for
resale each week. However, you are not sure of the demand-per week. You also consider that you can move around the market, depending on the
number of bags, selling for different prices you have and you can also sell surplus for a reduced price. The payoff table below gives the details of
the possible profit for each of these combinations. What is the optimal decision, using the Maximin criterion?
Payoff Table
Profits($)
Weekly Demand (State of
Nature)
Average
Decision
(Purchase)
Below
Robust
Par
75000
90000
110000
50000
55000
100 Bags
120 Bags
130 Bags
65000
75000
45000
65000
Select one:
O a. Purchase 100 bags (expected profit = $50,000)
O b. Purchase 120 bags (expected profit = $65,000)
O c. Purchase 130 bags (expected profit = $45,000)
o d. Purchase 130 bags (expected profit = $65,000)
9:25 AM
Ca ) ENG
12/16/2021
85°F
Transcribed Image Text:DS You are a fruit vendor in the Coronation Market in Kingston Jamaica. You are facing the decision to purchase 100, 120 or 130 bags of oranges for resale each week. However, you are not sure of the demand-per week. You also consider that you can move around the market, depending on the number of bags, selling for different prices you have and you can also sell surplus for a reduced price. The payoff table below gives the details of the possible profit for each of these combinations. What is the optimal decision, using the Maximin criterion? Payoff Table Profits($) Weekly Demand (State of Nature) Average Decision (Purchase) Below Robust Par 75000 90000 110000 50000 55000 100 Bags 120 Bags 130 Bags 65000 75000 45000 65000 Select one: O a. Purchase 100 bags (expected profit = $50,000) O b. Purchase 120 bags (expected profit = $65,000) O c. Purchase 130 bags (expected profit = $45,000) o d. Purchase 130 bags (expected profit = $65,000) 9:25 AM Ca ) ENG 12/16/2021 85°F
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