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Constraint A 2X1+3X2902 X_{1}+3 X_{2} \leq 90 Constraint B 2X13X21202 X_{1}-3 X_{2} \leq 120

Question 36

Multiple Choice

Constraint A: 2X1+3X2902 X_{1}+3 X_{2} \leq 90 Constraint B: 2X13X21202 X_{1}-3 X_{2} \leq 120
The feasible region with these two constraints and non-negativity constraints


A) is closed
B) open and hence does not have an optimal solution
C) open but has an optimal solution
D) non-existent (any objective with this as the constraint region will be infeasible)
E) is closed and will have an optimal solution for any linear objective function

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