could use some help with these please and thank you.

The demand equation for a certain commodity is given by the following equation. P= - 16x + 768, Ox $ 96 12 Find x and the corresponding price p that maximize revenue. The maximum value of R(x) occurs at x = The corresponding price that maximizes revenue is $ (Type an integer or decimal rounded to two decimal places as needed.)Draw the graph of the function y = f(x) that satisfies the following properties. Both the function and the slope decrease as x increases. Select all graphs that satisfy both properties. A. B. c. D. AySolve the given differential equation with initial condition. y' = By, y(0) = 2 The solution is y(t) =Simplify the function before differentiating. ex + Be f(X) = f(x) = (Simplify your answer.) X +8e 9x d e = dx exSuppose that f(t) = 1