Please help me solve this problem

Question

If C(x)=2.5x+35 is the cost function and R(x)=3.2x is the revenue function, then what is the profit function, P(x), and what is the breakeven point?

Answer 1

2.5x + 35 = 3.2x

(3.2-2.5)x = 35

x = 35/.7 = 350/7= 50

x=50 units is the break even point, when Profit = 0

Profit = R-C = 3.2x -2.5x-35 = .7x -35

= 0 when .7x -35 = 0

x = 35/.7 = 50