Linear programming, Mathematics

Consider the following linear programming problem:

Min (12x1+18x2)

            X1 + 2x2 ≤ 40

            X1 ≤ 50

            X1 + X2 = 40

            X1,X2 ≥ 0

The above constraints when plotted result in the diagram below.. ( sent as an image)

1.) The feasible region for the problems is:

A.) triangle ABC and inside

B.) problem is infeasible

C.) only at point B

D.) only at point D

2.) The optimum value of the objective function is:

A.) 120                                                            B.) 480

C.) 360                                                            D.) None of the above

 

The LP model is modified as follows:

Min (12x1+18x2)

            X1 + 2x2 ≤ 40

            X1  ≥ 50

            X1 + X2 = 40

            X1,X2 ≥ 0

 

3.) The feasible region for the modified problem is:

A.) triangle ABC and inside

B.) problem is infeasible

C.) only at point B

D.) only at point D

 

The LP model is modified as follows:

The LP model is modified as follows:

Min (12x1+18x2)

            X1 + 2x2 = 40

            X1 ≤ 50

            X1 +X ≥ 40

            X1 +X ≥ 0

Determine the feasible region.

Posted Date: 2/26/2013 12:16:20 AM | Location : United States







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