+0  
 
0
39
1
avatar+144 

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!

HelpPLZ  Oct 18, 2018
 #1
avatar+91112 
+1

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

CPhill  Oct 18, 2018

7 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.