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Linear pgroam

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See attached file.
Please show how you arrived at the solution. Thank you.

Given the linear program:

Max 3A + 4B
s.t.
-1A + 2B ≤ 8
1A + 2B ≤ 12
2A + 1B ≤ 16
A, B ≥ 0

a. Write the program in standard form.
b. Solve the problem using the graphical solution procedure.
c. What are the values of the three slack variables at the optimal solution?

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Solution Summary

This solution provides an example of solving a linear program that includes slack variables (see attachment for graph).

Solution Preview

a. Write the program in standard form.

Max 3A + 4B
s.t.
-1A + 2B + S1 = 8
1A + 2B + S2 = 12
2A + 1B +S3 = 16
A, B,S1, S2, S3 ≥ 0

b. Solve the problem using ...

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