Question

Maximize Q = xy, where x and y are positive numbers such that x + 3y² = 16. Write the objective function in terms of y.

Q = ____

Answer 1

To maximize Q = xy, where x and y are positive numbers such that x + 3y² = 16, the objective function in terms of y is Q = (16 - 3y²)y.

Step-by-step explanation:

To maximize Q = xy, where x and y are positive numbers such that x + 3y² = 16, we need to express the objective function in terms of y.

First, rearrange the equation x + 3y² = 16 to solve for x: x = 16 - 3y².

Now substitute the expression for x in the objective function: Q = (16 - 3y²)y.