...p=120-12sqrt(x), when x is between 0 and 89, w? The demand for a fitness video game roughly follow the equation p=120-12sqrt(x), when x is between 0 and 89, where p is the unit price and x is the number of units sold. It costs the supplier C=(-0.04x^2)+50x+700 dollars to sell a total of x units.
(a) Write profit as a function of x (assuming that the level of demand drives production).
(b) At what production level is profit maximized?
What is the maximum profit?
(c) At what production level is profit decreasing most rapidly?
(a) Write profit as a function of x (assuming that the level of demand drives production).
(b) At what production level is profit maximized?
What is the maximum profit?
(c) At what production level is profit decreasing most rapidly?