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For the following linear programming problem:    Maximize z = 2x1+ x2    Such that      x1+ 2x2...

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General Management

For the following linear programming problem:

   Maximize z = 2x1+ x2

   Such that

     x1+ 2x2 ? 12

         x2 ?3

      x1,x2 ?0

(a) Write the first two constraints in equation form by addingslack or subtracting excess (surplus) variables.

(b)Find all basic solutions for this LP

(c) Which of these solutions are feasible?

(d)Which of these feasible solutions is optimal? Find theoptimal value of z

Answer & Explanation Solved by verified expert
4.4 Ratings (756 Votes)
a Constraints with slacks and surplus x1 2x2 s1 12 x2 s2 3 b There are four variables x1 x2 s1 and s2 Make one pair of variables equal to zero and compute the other two from the two    See Answer
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