Solve the following linear programming problem. Restrict  x ≥ 0  and  y ≥ 0. Maximize  f = 2x + 8y  subject to x  +  y  ≤  7   2x  +  y  ≤  12   x  +  3y  ≤  15 .

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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Solve the following linear programming problem. Restrict 

x ≥ 0

 and 

y ≥ 0.



Maximize 

f = 2x + 8y

 subject to

x  +  y  ≤  7  
2x  +  y  ≤  12  
x  +  3y  ≤  15 .
(x, y)
=
 
 
 
 
 
  
 
f =
 
 
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