Maximize P = 3x + 5y +4z 3x + 10y + 2z s 115 subject to 5x + 3y + 8z s 9 Sx + 10y + 3z s 108 x 20, y 2 0, z 2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Maximize P = 3x+ 5y +4z
3x + 10y + 2z < 115
subject to 5x + 3y + 8z < 9
8x + 10y + 3z < 108
x 20, y 20, z 2 0
Add new variables, if necessary.
O a. x = 0 y = 0̟ z = 3 u = 83 v = 0. w = 78 p = 3
O b. x = 0 y = 3, z = 0¸ u = 85 v = 0̟ w = 78 p = 15
O c. x = 0 y = 3 z = 3 u = 85 v = 0 w = 78 p = 27
O d. x = 0 y = 0 z = 3 u = 85 v = 0̟ w = 76_ p = 3
O e. x = 0 y = 3 z = 0 u = 83 v= 0 w=76 p= 15
Transcribed Image Text:Maximize P = 3x+ 5y +4z 3x + 10y + 2z < 115 subject to 5x + 3y + 8z < 9 8x + 10y + 3z < 108 x 20, y 20, z 2 0 Add new variables, if necessary. O a. x = 0 y = 0̟ z = 3 u = 83 v = 0. w = 78 p = 3 O b. x = 0 y = 3, z = 0¸ u = 85 v = 0̟ w = 78 p = 15 O c. x = 0 y = 3 z = 3 u = 85 v = 0 w = 78 p = 27 O d. x = 0 y = 0 z = 3 u = 85 v = 0̟ w = 76_ p = 3 O e. x = 0 y = 3 z = 0 u = 83 v= 0 w=76 p= 15
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