Problem:
Consider the following problem
Maximize Z= 3x1 +5x2 +6x3
subject to
2x1 +x2+ x3 <_4
x1 +2x2 +x3 <_4
x1 +x2 +2x3 <_4
x1 + x2 + x3 <_3
and, x1,x2,x3 >_ 0
Required:
Question 1) Work through the simplex metod step by step in algabraeic form
Question 2) Work throught he simplex method in tabular form
Question 3) Use a computer package based on the simplex method to solve the problem
Solve the given numerical problem and illustrate step by step calculation.