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?

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Definitions:

REM Sleep

A stage of sleep characterized by rapid eye movements, more dreaming, and bodily movement; important for mental restoration.

Growth Hormones

Hormones that stimulate growth, cell reproduction, and cell regeneration in humans and other animals.

Non-REM Sleep

A period of sleep characterized by reduced brain activity and body movement, distinct from REM (Rapid Eye Movement) sleep.

Sleep Apnea

a sleep disorder characterized by pauses in breathing or periods of shallow breathing during sleep.