1. Consider the following linear programming problem.MinX +2x,X + 3x, > 908x, + 2x, >1603x, + 2x, 2120s.t.X 70a. Write the problem in standard form. Identify slack/surplus variables.b. The optimal solution of the above LP model is (180/7, 150/7). What are the values ofthe slack and surplus variables at the optimal solution?

The linear programming method can be defined as a method of developing and improving operations with…

Answered: Min X +2x, X +3x, 2 90 8x, + 2x, 2160…

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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Please do not give solution in image formate thanku. 3. Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. Formulate as an LP problem to maximize profit?
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Min X +2x, X +3x, 2 90 8x, + 2x, 2160 3x, + 2x, 2120 s.t. X S70 a. Write the problem in standard form. Identify slack/surplus variables. b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of the slack and surplus variables at the optimal solution?