Question

Calc

Maximize Q=xy, where x and y are positive numbers such
that x + 3y² = 25.

Write the chiective function in terms of y

Q=

Answer 1

Answer:

Q = 25y - 3y³

Explanation:

To write the objective function in terms of y, we need to express x in terms of y using the constraint equation:

x + 3y² = 25

x = 25 - 3y²

Now we can substitute this expression for x in the objective function:

Q = xy = y(25 - 3y²)

Expanding this expression gives:

Q = 25y - 3y³

Therefore, the objective function in terms of y is Q = 25y - 3y³