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!
There may be an algebraic way to do this.....but I think it can be done graphically like this :
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 =
[ This is known as linear programming ]