A high-speed train operator schedules six trains per day departing from City A. The destination of each train may be City B, City C, or City D. The following table shows the contribution to the high-speed operator's profit from any given number of daily trains from City A to each possible destination. Find the optimal number of trains that should depart City A for each destination. How would the answer changes if the train operator were restricted to only four daily trains? Profit per train (S) Destination Number of trains 3. 6. City B 80 150 210 250 270 280

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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A high-speed train operator schedules six trains per day departing from City A. The destination of each train
may be City B, City C, or City D. The following table shows the contribution to the high-speed operator's
profit from any given number of daily trains from City A to each possible destination. Find the optimal
number of trains that should depart City A for each destination. How would the answer changes if the train
operator were restricted to only four daily trains?
Profit per train (S)
Destination
Number of trains
3.
6.
City B
City C
City D
80
150
210
250
270
280
100
195
275
325
300
250
90
180
265
310
350
320
Transcribed Image Text:A high-speed train operator schedules six trains per day departing from City A. The destination of each train may be City B, City C, or City D. The following table shows the contribution to the high-speed operator's profit from any given number of daily trains from City A to each possible destination. Find the optimal number of trains that should depart City A for each destination. How would the answer changes if the train operator were restricted to only four daily trains? Profit per train (S) Destination Number of trains 3. 6. City B City C City D 80 150 210 250 270 280 100 195 275 325 300 250 90 180 265 310 350 320
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