Solve the linear programming: maximize 2×1 − 6×2 subject to −x1 − x2 − x3 ≤ −2 2×1 − x2 + x3 ≤ 1 x1, x2, x3 ≥ 0 .

Use the following steps to solve the LP problem using excel.
1. Open excel and enable solver if it is not enabled. Once it is enabled, it will appear in the “Data” tab. (See this link: https://support.office.com/en-us/article/load-the-solver-add-in-in-excel-612926fc-d53b-46b4-872c-e24772f078ca?ui=en-US&rs=en-GB&ad=GB)
2. Type the constraints and values in the excel table.
https://d2vlcm61l7u1fs.cloudfront.net/media%2Fa28%2Fa287a6a1-ab15-4bf1-9d71-4c1e19c731fb%2FphpHwKUA9.png
3. Open the solver from “Data” tab and type the constraints
https://d2vlcm61l7u1fs.cloudfront.net/media%2Fb5c%2Fb5cda5f4-56f9-4229-863a-9cf5e5fa4f5e%2FphplRglM7.png
Add constraints one by one using the “Add function”
https://d2vlcm61l7u1fs.cloudfront.net/media%2F5be%2F5be7c04f-857f-43f0-abd9-8f7a8c38f9f9%2FphpSBhLgk.png
Check mark the box for “Make unconstrained variables non-negative”
Select solving method as “Simplex LP”
Hit solve.
4. Here’s the answer for this LP.
https://d2vlcm61l7u1fs.cloudfront.net/media%2F465%2F465f98d5-a6a4-49eb-8620-e1b1468a0af7%2FphpHhqNxs.png
 
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