Question 1098301: HELPPP!!!! DUE TOMORROW!!:
Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?
Found 5 solutions by richwmiller, ikleyn, MathTherapy, madyl, greenestamps:
Answer by richwmiller(17219)   (Show Source):
Answer by ikleyn(52787)  (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
HELPPP!!!! DUE TOMORROW!!:
Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$?
DO you really think you can get help posting all that "mumbo jumbo?"
Answer by madyl(1)  (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
I will guess that this means we are to find the maximum value of x+y, given the conditions
 and 
The feasibility region is between the lines 7x+2y=-3 and 7x+2y=3; and between the lines y-x=-4 and y-x=4.
I'll let you do the ugly calculations to find the corners of the feasibility region; they are at (-11/9,25/9), (-5/9,31/9), (5/9,-31/9) and (11/9,-25/9).
Clearly the maximum value of x+y is at (-5/9,31/9); the maximum value is 26/9.
If your question was something completely different, resubmit it, in a format that is clearly understandable.
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