SOLUTION: Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 4000x + 88,000 R(x) = 12,000x

Algebra ->  Test -> SOLUTION: Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 4000x + 88,000 R(x) = 12,000x       Log On


   

Question 986184: Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
C(x) = 4000x + 88,000
R(x) = 12,000x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The breakeven point comes when the cost equals the revenue. This is when you neither make nor lose money

R(x) = C(x)
12000x = 4000x+88000
12000x-4000x = 4000x+88000-4000x
8000x = 88000
8000x/8000 = 88000/8000
x = 11

The breakeven point is at x = 11. So 11 units need to be sold to break even.