Consider the following linear programming problem:
Min (12x_{1}+18x_{2})
X_{1} + 2x_{2} ≤ 40
X_{1 }≤ 50
X_{1} + X_{2} = 40
X_{1},X_{2} ≥ 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 (12x_{1}+18x_{2})
X_{1} + 2x_{2} ≤ 40
X_{1 } ≥ 50
X_{1} + X_{2} = 40
X_{1},X_{2} ≥ 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 (12x_{1}+18x_{2})
X_{1} + 2x_{2} = 40
X_{1 }≤ 50
X_{1} +X_{2 } ≥ 40
X_{1} +X_{2 } ≥ 0
Determine the feasible region.