For this you will need to submit 2 documents. A word document with your answers typed out and an excel file with your supporting work. Remember to always start with the original LP for each question. # 1) Solve the following LP Maximize $4x + $3y Subject to 2x + 4y s 80 3x + 6y 2 30 -3x + 10y 20 х, у 20 a) Write the original optimal solution and objective function value. b) What happens to the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What happens to the optimal solution and objective function value if the first constraint changes to 2x + 4y s 90
For this you will need to submit 2 documents. A word document with your answers typed out and an excel file with your supporting work. Remember to always start with the original LP for each question. # 1) Solve the following LP Maximize $4x + $3y Subject to 2x + 4y s 80 3x + 6y 2 30 -3x + 10y 20 х, у 20 a) Write the original optimal solution and objective function value. b) What happens to the optimal solution and objective function value if the profit per unit of x decreases to $1? c) What happens to the optimal solution and objective function value if the first constraint changes to 2x + 4y s 90
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For this you will need to submit 2 documents. A word document with your answers typed
out and an excel file with your supporting work. Remember to always start with the original
LP for each question.
#1) Solve the following LP
Maximize $4x + $3y
Subject to
2x + 4y < 80
Зх + 6у 2 30
-3х + 10y 2 0
х, у 20
a) Write the original optimal solution and objective function value.
b) What happens to the optimal solution and objective function value if the profit per unit of x
decreases to $1?
c) What happens to the optimal solution and objective function value if the first constraint
changes to 2x + 4y < 90
d) What happens to the optimal solution and objective function value if the third constraint
changes to -3x + 10y < 0?
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