You have just caught a bank robber and are about to collect a reward. The reward will be given to you according to this formula: Reward = 
and you can pick the values of x and y as follows:
x = -7, -2, 0, or 10;
y = -3, -2, 1, or 20.
y = -3, -2, 1, or 20.
Which values should you pick so that you maximize your reward?
We want a big numerator and a small denominator. So we make
The value x = 10 maximizes the numerator: x2 – 6 = 102 – 6 = 94.
So y2 – 8 has to be a small positive number.
And y = -3 yields the smallest positive denominator: y2 – 8 = (-3)2 – 8 = 1.
So we have 
. You’ll get a reward of $94.