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Linear Programming Using a Demand Function

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I am trying to use Linear Programming to solve the attached equation. Accordingly, I used a Demand Function and determined the variable coefficients. I have been receiving comments stating that the problem is unclear and ambiguous. Thus, I tried cleaning it up a bit. The idea is to show the method not a precise answer. So, if you graciously chose to do this problem, please feel free to insert any dummy data or equations you feel would be necessary to determine a solution. Thank-you.

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Solution Summary

The solution is in three attachments:

1] An Excel sheet modified for Linear Programming (LP)

2] A JPEG image of the Solver Dialog indicating the relative parts of the modified spreadsheet


3] An explanatory PDF document I composed.