4.3-7. Consider the following problem.
Maximize Z = 5x1 + 3x2 + 4x3,
subject to
2x1 + x2 + x3<= 20
3x1 + x2 + 2x3 <= 30
and x1 >= 0, x2 >= 0, x3 >= 0.
You are given the information that the nonzero variables in the optimal solution are x2 and x3.
(a) Describe how you can use this information to adapt the simplex method to solve this problem in the minimum possible number of iterations (when you start from the usual initial BF solution). Do not actually perform any iterations.
(b) Use the procedure developed in part (a) to solve this problem by hand. (Do not use your OR Courseware)
4.3-7. Consider the following problem. Maximize Z = 5x1 + 3x2 + 4x3, subject to 2x1 + x2 + x3<...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
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