In Exercises 18, use the simplex method to solve each linear programming problem.
Maximize Subject to 

To find:
The solution of the linear programming problem by using the simplex method.
Given:
The given conditions are,
Concept use:
(1) If all the entries are nonnegative, the optimal solution has been reached.
(2) If there is one or more negative entries, the optimal solution has been not been reached.
Calculation:
Consider the given equations.
Introduce the slack variables,
The initial simplex table is as follows,
Constant  
Some of the elements in the last row are negative, so it is not in final form. Select the pivot row, pivot element and column for further simplification.
Constant  
Apply the row operation
Constant  
Apply the row operation
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