Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) = 0.000003x- 0.04x2 + 300x%3D dollars, where x denotes the number of units manufactured per month.

The monthly fixed cost attributable to the division that produces them is $100,000. The total revenue realized by Apollo from the sale of x smartphones is given by the total revenue function R(x) = -0.1x2 + 500x (0 s x s 5000) where R(x) is measured in dollars. (a) Find a function C that gives the total cost incurred by the manufacture of x smartphones. (b) Find the total profit function. What is the profit (in dollars) when 1100 units are produced and sold each month?