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Assignment Questiom 1:
Graphically determine the feasible region (if one exists) for the following LP system.
2x1 + 5x2 ≤ 20
2x1 + 2x2 ≤ 24
2x1 + x2 = 10
x1 ≥ 0
x2 ≥ 0
Questiom 2
Graph the region of feasible solution (if one exists) and solve by corner-point method.
Maximixe z = 30 x + 20y
subject to 3x + y ≤ 18
x + y ≤ 12
x ≥ 2
y ≥ 5
x, y ≥ 5
a) Formulate the linear programming model for the problem. b) Use the Graphical method to find the optimal solution. Show all steps. c) Use Excel Solver to find the optimal solution. Copy and paste your spreadsheet and the Answer report from Excel.
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