Question

In: Statistics and Probability

Using the information below to create the initial simplex matrix. Assume all variables are nonnegative. Maximize...

Using the information below to create the initial simplex matrix. Assume all variables are nonnegative.

Maximize f=9x1+4x2+10x3f=9x1+4x2+10x3 subject to
9x1+6x2+2x3?459x1+6x2+2x3?45
7x1+8x2+10x3?707x1+8x2+10x3?70
8x1+9x2+11x3?658x1+9x2+11x3?65
x1?0x1?0
x2?0x2?0
x3?0x3?0

Expert Solution

Maximize subject to

Solution :

The problem is converted to canonical form by adding slack, surplus
and artificial variables as appropiate

    1. As the constraint-1 is of type ' ' we should add slack variable
    2. As the constraint-2 is of type ' ' we should add slack variable
    3. As the constraint-3 is of type ' ' we should add slack variable .

After introducing slack variables,

Maximize ,

Subject to

Matrix :

orchestra answered 2 years ago

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