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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:
X1 ≥ 50
3.) The feasible region for the modified problem is:
X1 + 2x2 = 40
X1 +X2 ≥ 40
X1 +X2 ≥ 0
Determine the feasible region.
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fixes everything. Prov
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