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A company wants to build a new factory in either Atlanta or Columbia.It is also considering building a warehouse in whichever city is selected for the new factory.The following table shows the net present value NPV)and cost of each facility.The company wants to maximize the net present value of its facilities,but it only has $16 million to invest.
Variable Decision
NPV
$million)
Cost $million)
X1 Factory in Columbia 3 10
X2 Factory in Atlanta 4 8
X3 Warehouse in Columbia 2 6
X4 Warehouse in Atlanta 1 5
Based on this ILP formulation of the problem what is the optimal solution to the problem?
MAX: 3 X1 + 4 X2 + 2 X3 + X4
Subject to: 10 X1 + 8 X2 + 6 X3 + 5 X4 ≤ 15
X1 + X2 = 1 X3 + X4 ≤ 1 X3 − X1 ≤ 0 X4 − X2 ≤ 0 Xi = 0,1
Context Effects
The influence of environmental factors on one's perception, cognition, or behavior in a given situation.
Sensory Adaptation
The method through which sensory detectors decrease in sensitivity towards unvarying or steady stimuli over a period.
Subliminal Sensation
A perceptual experience that occurs below the threshold of conscious awareness.
Context Effects
Refers to how the context or environment in which information is presented affects an individual's perception or understanding of that information.
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