High School

A cell phone factory has a cost production function [tex]C(x) = 160x + 29000[/tex] and a revenue function [tex]R(x) = 260x[/tex].

What are the coordinates of the break-even point?

Answer :

The break-even point is at 290

Explanation:

The break even point is the point where the revenue equals to the cost

Cost = C(x) = 160x + 29000

Revenue = R(x)= 260x

Equating both expressions:

160x + 29000 = 260x

subtract 160x from both sides:

160x - 160x + 29000 = 260x - 160x

29000 = 100x

divide both sides by 100:

29000/100 = 100x/100

x = 290

The break-even point is at 290

Other Questions