Provide an appropriate response.
-Use Lagrange multipliers to maximize f(x, y) = 5xy subject to x + y = - 6.
A) max f(x, y) = f(-3, -3) = 45
B) max f(x, y) = f(-3, 3) = -45
C) max f(x, y) = f(3, -3) = -45
D) max f(x, y) = f(3, 3) = 45

Question

Quizplus · Accepted Answer

To maximize $f(x, y) = 5xy$ subject to $x + y = -6$, we use Lagrange multipliers. Setting up the equations, we find that the maximum occurs when $x = y = -3$, leading to $f(-3, -3) = 45$.

Provide an Appropriate Response