Answered: Consider the following puzzle. You are…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Consider the following puzzle. You are to pick out 4
three-letter “words” from the following list:
DBA DEG ADI FFD GHI BCD FDF BAI
For each word, you earn a score equal to the position that
the word’s third letter appears in the alphabet. For example,
DBA earns a score of 1, DEG earns a score of 7, and so on.
Your goal is to choose the four words that maximize your
total score, subject to the following constraint: The sum of
the positions in the alphabet for the first letter of each word
chosen must be at least as large as the sum of the positions
in the alphabet for the second letter of each word chosen.
Formulate an IP to solve this problem.

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