Answered: Solve the following Linear programming…

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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Solve the following Linear programming problem using the simplex method:
Maximize Z = 10X1 + 15X2 + 20X3
subject to:
2X1 + 4X2 + 6X3 ≤ 24
3X1 + 9X2 + 6X3 ≤ 30
X1, X2 and X3 ≥ 0

(b) Suppose X1, X2, X3 in (a) refer to number of red, blue, and green balloons respectively
which are produced by a company per day. And Z is the total profit obtained after
selling these balloons. Interpret your answer obtained in (a) above
(c) Write the dual of the following linear programming problem:
Minimize Z = 2X1 − 3X2 + 4X3
subject to:
3X1 + 4X2 + 5X3 ≥ 9
6X1 + X2 + 3X3 ≥ 4
7X1 − 2X2 − X3 ≤ 10
5x1 − 2X2 + X3 ≥ 3
4X1 + 6X2 − 2X3 ≥ 3
X1, X2 and X3 ≥ 0

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