Maximizing Profits: The weekly demand for DVDs manufactured by Herald Media Corporation is given by
p = -0.0005x^2 + 60
where p denotes the unit price in dollars and x denotes the quantity demanded.

The weekly total cost function associated with producing these discs is given by
C(x) = -0.001x^2 + 18x + 4000
where C(x) denotes the total cost (in dollars) incurred in pressing x discs.

Find the production level that will yield a maximum profit for the manufacturer
Hint: use the quadratic formula.

Question

Maximizing Profits: The weekly demand for DVDs manufactured by Herald Media Corporation is given by
p = -0.0005x^2 + 60
where p denotes the unit price in dollars and x denotes the quantity demanded. 

The weekly total cost function associated with producing these discs is given by
C(x) =  -0.001x^2 + 18x + 4000
where C(x) denotes the total cost (in dollars) incurred in pressing x discs.

Find the production level that will yield a maximum profit for the manufacturer
Hint: use the quadratic formula.

anonymous · Answer

I'm not really sure how to solve this. Can anyone give an explained step by step solution.