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  1. The output for the below linear programming problem follows below:

Max: 25X1+30X2+15×3

S.T

  1. 4X1+5X2+5X3<1200
  2. 9X1+15X2+3×3<1500

Optimum Solution Output

Objective Function Value = 4,700.00

Variable Value Reduced Cost

X1 140.000 0.000

X2 0.000 10.000

X3 80.000 0.000

Constraints Slack/Surplus Dual Price

1 0.000 1.000

2 0.000 2.333

Objective Coefficient Ranges:

Variable Lower Limit Current Value Upper Limit

X1 19.286 25.000 45.000

X2 none 30.000 40.000

X3 8.333 15.000 50.000

RHS Ranges:

Constraints Lower Limit Current Value Upper Limit

1 666.667 1200.000 4000.000

2 450.000 1500.000 2700.000

  1. Give the complete optimal solution
  2. Which constraints are binding

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