Question

An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function P(x) = x3 – 4x2 + 3x – 12, where P is in hundreds of dollars and x is the number of years elapsed after the company starts operations. In how many years (x) will the company break even (no profit, no loss)?

Answer 1

1 year
2 years
3 years
4 years
6 years

Answer 2

@ribhu

Answer 3

@iGreen

Answer 4

see at the break even point it means that company has paid all the expenditure and from now on will start to make profits

Answer 5

so at break even point the net profit of the company becomes zero.
hence equating this profit to zero we will get the following result

Answer 6

@CaseyCarns r u there, hope u are getting whatever i am writing.

Answer 7

Yeah I'm here

Answer 8

x^3 - 4x^2 + 3x - 12 = 0

Answer 9

factorise this
x^2(x-4) +3 (x-4)
(X^2+3) (x-4)

Answer 10

x can not be negative since it is time in years. so x-4 = 0 gives x=4; hence 4 years will bring in breakeven point