Suppose that for a certain company, C(x)=35x+1500 represents the total cost function, and R(x)=60x represents the total revenue function. (a) Find the total-profit function (b) Find the break -even point. (a) The total-profit function is P(x)= (Type your answer in slope-intercept form.)

(a) The total-profit function is the difference between the total revenue function and the total cost function. So, we subtract the cost function from the revenue function to get the profit function. (b) The break-even point is when the total cost equals the total revenue, i.e., when the profit is zero. So, we set the profit function equal to zero and solve for x. Solving for x gives us the break-even point.