Suppose that a company has fixed costs of $300$ dollars and variable costs of $0.75 x + 1410$ dollars per unit, where $x$ is the number of units produced. Suppose further that the selling price of its product is $1600 - 0.3 x$ dollars per unit.

(a) Find all the break-even points. Each point should be a pair of numbers $(x,p)$ where $x$ is the number of units and $p$ is the corresponding price in dollars. If there are multiple break-even points separate them with commas, for example: $(x_1,p_1),(x_2,p_2),(x_3,p_3)$.

(b) Find the maximum revenue in dollars.

(c) What price in dollars will maximize profit?

Exact answers, or close decimal approximations are expected. Do not round quantities to the nearest integer, do not round dollars to the nearest cent.