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
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 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?

---

Definitions:

Genital Sensations

Feelings or perceptions experienced in the genital area, often associated with sexual activity or arousal.

Severed Spinal Cord

An injury that results in the complete or partial transection of the spinal cord, potentially leading to loss of sensation and paralysis below the point of injury.

Hemispherectomy

A surgical procedure involving the removal or disabling of one cerebral hemisphere, usually to treat severe epilepsy.

Muscle Contractions

Muscle contractions refer to the tightening or shortening of muscles, which results in movement or maintenance of posture.