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Writing problem in Tableau form

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Write the following problem in tableau form. Which variables would be in the initial basis?

Max
x1 + 2x2
s.t. 3x1 + 4x2 <= 100
2x1 + 3.5x2 >= 60
2x1 - 1x2 = 4

x1, x2 >= 0

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Solution Summary

This solution presents an equation form into a tableau form and provides the variables of interest in the initial basis.

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Write the following problem in tableau form. Which variables would be in the initial basis?

Max
x1 + 2x2
s.t. 3x1 + 4x2 <= 100
2x1 + 3.5x2 >= 60
2x1 - 1x2 = 4
x1, x2 >= 0

To write the problem in table form, we need to convert the problem first to standard form by adding slack variables and subtracting surplus variables from the constraints:

Z=x1-2x2-MA2-MA3
3x1 + 4x2+s1 =100 (Slack variable s1 is added to the constraint to ...

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