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How to fill out 1 form simplex method

01

Step 1: Identify the objective function and the constraints of the problem.

02

Step 2: Convert the objective function to the equation form.

03

Step 3: Convert the constraints to inequality form.

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Step 4: Re-arrange the constraints to have non-negative variables on the left side.

05

Step 5: Introduce slack variables to convert the inequalities to equalities.

06

Step 6: Create the initial tableau by organizing the variables, coefficients, and constants.

07

Step 7: Select the pivot column with the most negative coefficient in the objective row.

08

Step 8: Determine the pivot row by finding the smallest non-negative ratio of the constant column divided by the pivot column.

09

Step 9: Perform row operations to make the pivot element equal to 1 and all other elements in the pivot column equal to 0.

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Step 10: Update the tableau by performing elementary row operations to make the coefficients of the pivot column in other rows equal to 0.

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Step 11: Repeat steps 7 to 10 until all coefficients in the objective row are non-negative.

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Step 12: Read the optimal solution from the final tableau to determine the values of the variables.

Who needs 1 form simplex method?

01

The simplex method is used by mathematicians, operations researchers, and analysts to optimize linear programming problems. It is especially useful in solving problems related to resource allocation, production planning, transportation, and various other areas where there is a need to find the best possible solution within given constraints.

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