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Given that \(-3 \le 7x + 2y \le 3 \) and \(-4 \le y - x \le 4\), what is the maximum possible value of \(x + y\)?

 

If you could explain this it would be AMAZING! Thank you so much!

 Oct 18, 2018
 #1
avatar+98090 
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There may be an algebraic way to do this.....but I think it can be done graphically like this :

 

https://www.desmos.com/calculator/4fhytbda6x

 

It can be shown that some corner point [ a point in the feasible region of all the graphs] will maximize x + y   [ the objective function]

 

Therea are two corner points here  (-5/9, 31/9)  and (5/9 , -31/9 )   

 

Testing both points in the objective function,the corner point  (-5/9,  31/9)  will maxmize x + y  =

 

-5/9 + 31/9  =

 

26/9

 

[ This is known as linear programming ]

 

 

cool cool cool

 Oct 18, 2018

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