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LINDO Output Is Given for the Following Linear Programming Problem

Question 22

Essay

LINDO output is given for the following linear programming problem.
MIN 12 X1 + 10 X2 + 9 X3
SUBJECT TO
2)5 X1 + 8 X2 + 5 X3 >= 60
3)8 X1 + 10 X2 + 5 X3 >= 80
END
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1)80.000000
LINDO output is given for the following linear programming problem. MIN 12 X1 + 10 X2 + 9 X3 SUBJECT TO 2)5 X1 + 8 X2 + 5 X3 >= 60 3)8 X1 + 10 X2 + 5 X3 >= 80 END LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1)80.000000 NO.ITERATIONS= 1 RANGES IN WHICH THE BASIS IS UNCHANGED: a.What is the solution to the problem? b.Which constraints are binding? c.Interpret the reduced cost for x<sub>1</sub>. d.Interpret the dual price for constraint 2. e.What would happen if the cost of x<sub>1</sub> dropped to 10 and the cost of x<sub>2</sub> increased to 12? LINDO output is given for the following linear programming problem. MIN 12 X1 + 10 X2 + 9 X3 SUBJECT TO 2)5 X1 + 8 X2 + 5 X3 >= 60 3)8 X1 + 10 X2 + 5 X3 >= 80 END LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1)80.000000 NO.ITERATIONS= 1 RANGES IN WHICH THE BASIS IS UNCHANGED: a.What is the solution to the problem? b.Which constraints are binding? c.Interpret the reduced cost for x<sub>1</sub>. d.Interpret the dual price for constraint 2. e.What would happen if the cost of x<sub>1</sub> dropped to 10 and the cost of x<sub>2</sub> increased to 12? NO.ITERATIONS= 1
RANGES IN WHICH THE BASIS IS UNCHANGED:
LINDO output is given for the following linear programming problem. MIN 12 X1 + 10 X2 + 9 X3 SUBJECT TO 2)5 X1 + 8 X2 + 5 X3 >= 60 3)8 X1 + 10 X2 + 5 X3 >= 80 END LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1)80.000000 NO.ITERATIONS= 1 RANGES IN WHICH THE BASIS IS UNCHANGED: a.What is the solution to the problem? b.Which constraints are binding? c.Interpret the reduced cost for x<sub>1</sub>. d.Interpret the dual price for constraint 2. e.What would happen if the cost of x<sub>1</sub> dropped to 10 and the cost of x<sub>2</sub> increased to 12? LINDO output is given for the following linear programming problem. MIN 12 X1 + 10 X2 + 9 X3 SUBJECT TO 2)5 X1 + 8 X2 + 5 X3 >= 60 3)8 X1 + 10 X2 + 5 X3 >= 80 END LP OPTIMUM FOUND AT STEP 1 OBJECTIVE FUNCTION VALUE 1)80.000000 NO.ITERATIONS= 1 RANGES IN WHICH THE BASIS IS UNCHANGED: a.What is the solution to the problem? b.Which constraints are binding? c.Interpret the reduced cost for x<sub>1</sub>. d.Interpret the dual price for constraint 2. e.What would happen if the cost of x<sub>1</sub> dropped to 10 and the cost of x<sub>2</sub> increased to 12?
a.What is the solution to the problem?
b.Which constraints are binding?
c.Interpret the reduced cost for x1.
d.Interpret the dual price for constraint 2.
e.What would happen if the cost of x1 dropped to 10 and the cost of x2 increased to 12?

Correct Answer:

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a.x1 = 0,x2 = 8,x3 = 0,s1 = 4,s2 = 0,z = 80
b...

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