A LP is given as Max z = 3x + 4y Subj to x + 3y < 60 x + y > 10 x < y With x, y > 0 a) Solve the LP using graphical corner point method. x= , y= b) What kind of LPP is the above? c) Suppose the cost of y changes from 4 to 9. How does this affect the current solution? d) Suppose a fourth constraint is added to the original problem which is 15x + y < 45. What happens to the original solution?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
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11:41 P
ם א וה. !ןו.
B/s
A LP is given as Max z =
Зх + 4у
Subj to x + 3y < 60
x + y > 10
x <y
With x, y > 0
a) Solve the LP using graphical corner
point method. x=
,y=
,Z=
b) What kind of LPP is the above?
c) Suppose the cost of y changes from 4 to
9. How does this affect the current
solution?
d) Suppose a fourth constraint is added to
the original problem which is
15x + y < 45. What happens to the
original solution?
Transcribed Image Text:11:41 P ם א וה. !ןו. B/s A LP is given as Max z = Зх + 4у Subj to x + 3y < 60 x + y > 10 x <y With x, y > 0 a) Solve the LP using graphical corner point method. x= ,y= ,Z= b) What kind of LPP is the above? c) Suppose the cost of y changes from 4 to 9. How does this affect the current solution? d) Suppose a fourth constraint is added to the original problem which is 15x + y < 45. What happens to the original solution?
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