I need help with part b and c. Please explain the steps on how to solve. Consider the following all-integer linear program.1x₁ + 1x₂Maxs.t.5x₁ + 6x₂ ≤ 411x₁ + 5x₂ ≤ 202x₁ + 1x₂ ≤ 15X₁, X₂ ≥ 0 and integer (b) Solve the LP Relaxation of this problem.at (x₁, x₂) ==(c) Find the optimal integer solution.= ([at (x₁, x₂) =

Answered: Max 1x₁ + 1x2 s.t. 5x₁ + 6x₂ ≤ 41 1x1 +…

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

I need help with part b and c. Please explain the steps on how to solve.

Consider the following all-integer linear program.
1x₁ + 1x₂
Max
s.t.
5x₁ + 6x₂ ≤ 41
1x₁ + 5x₂ ≤ 20
2x₁ + 1x₂ ≤ 15
X₁, X₂ ≥ 0 and integer

(b) Solve the LP Relaxation of this problem.
at (x₁, x₂) =
=
(c) Find the optimal integer solution.
= ([
at (x₁, x₂) =

Expert Solution

Step 1 Introduction;-

Linear programming is a mathematical technique that is also used in operations management departments. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.