System of linear equations and problem solving

Question

if the cost function C(x)for x representing the number of units sold is given by: C(X) = 13x + 36000 and the revenue function R (x)for the same x is given by: R(x) =16x how many units x must be sold in order to break even?

Answer 1

C(x) = R(x) <---- break even point is where cost = revenue

 

13x + 36000 = 16x

 

36000 = 16x - 13x

 

36000 = 3x

 

x = 12000

 

C(12000) = R(12000) = $192,000

 

Must produce and sell all 12000 units to break even