3. Consider the following mathematical model: Maximize z = 3x+x 15x1-5x2< 35 30x1-10x2 2 55 x 20, x2 20 Subject to You are only considering three alternatives: Alternative 1 (x = 3, x2 2) Alternative 2 (x1 = 3, x2 = 3) Alternative 3 (x = 3, x2 4) a) Determine whether each alternative is feasible or infeasible. b) Which alternative do you recommend? Why? (Which is the best solution to the problem)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Consider the following mathematical model:
Maximize
z = 3x+x2
Subject to
15x1-5x2 < 35
30x1-10x2 2 55
xị 20, x2 20
You are only considering three alternatives:
Alternative 1 (xi = 3, x2 = 2)
Alternative 2 (xı = 3, x2 = 3)
Alternative 3 (xı= 3, x2 = 4)
a)
Determine whether each alternative is feasible or infeasible.
b)
Which alternative do you recommend? Why? (Which is the best solution to the problem)
Transcribed Image Text:3. Consider the following mathematical model: Maximize z = 3x+x2 Subject to 15x1-5x2 < 35 30x1-10x2 2 55 xị 20, x2 20 You are only considering three alternatives: Alternative 1 (xi = 3, x2 = 2) Alternative 2 (xı = 3, x2 = 3) Alternative 3 (xı= 3, x2 = 4) a) Determine whether each alternative is feasible or infeasible. b) Which alternative do you recommend? Why? (Which is the best solution to the problem)
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