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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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I need the answer quickly please
Solve mathematical models for linear programming using the graphical
method
1) max. Z = 4X +3Y
2) max. Z = 3X + 2Y
Y -x|s2
X +Y 21
st.
2X + 3Y <6
st.
-3X + 2Y <3
2Y $5
X S4
2X +Y S4
Y3
X,Y 20
X,Y 20
3) min. Z = 8X +5Y
X +2Y S 10
X 25
4) min. Z= 2X +3Y
X +Y S15
X +2Y 2 10
s.t.
st.
YS2
X,Y 20
X,Y 20
( ans.: (X,Y,Z): 1)(3/2,1,9), 2)(4,3,18), 3) (5,0,40), 4) (0,5,15))
Transcribed Image Text:Solve mathematical models for linear programming using the graphical method 1) max. Z = 4X +3Y 2) max. Z = 3X + 2Y Y -x|s2 X +Y 21 st. 2X + 3Y <6 st. -3X + 2Y <3 2Y $5 X S4 2X +Y S4 Y3 X,Y 20 X,Y 20 3) min. Z = 8X +5Y X +2Y S 10 X 25 4) min. Z= 2X +3Y X +Y S15 X +2Y 2 10 s.t. st. YS2 X,Y 20 X,Y 20 ( ans.: (X,Y,Z): 1)(3/2,1,9), 2)(4,3,18), 3) (5,0,40), 4) (0,5,15))
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