The graph starts flat but then curves steeply upwards. You can tell this by the sudden jumps in y-coordinates, illustrating that it keeps going further up faster and faster as the x-coordinates progress steadily.
Answer:
64
Step-by-step explanation:
Using Lagrange multipliers, we have the Lagrangian

with partial derivatives (set equal to 0)




Substituting the first three equations into the fourth allows us to solve for

:

For each possible value of

, we get two corresponding critical points at

.
At these points, respectively, we get a maximum value of

and a minimum value of

.