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solve the linear programming problem below using the simplex method. show all work of simplex method,...

solve the linear programming problem below using the simplex method. show all work of simplex method, including initial simplex tableau. Identify pivot column/row and row operations performed to pivot.

Maximize z= 2x1+5x2

subject to 5x1+x2<=30

5x1+2x2<=50

x1+x2<=40

x1, x2 >=0

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