An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give

Question

1 month ago

15

An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give

n 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)? 1 year

Mathematics

2 answers:

lawyer [12.5K] · Answer 1 · 2026-03-31T11:31:30+03:00

Response:

hope this is useful:))

Detailed breakdown:

the break-even point is represented by y = 0 since y signifies profit. This coincides with the x-intercept; thus, the break-even year, correlating with the x-axis, is 4 years. Therefore, the answer is 4 years, which is a simpler way to understand it, I believe. Also, may I kindly request brainliest:))

lawyer [12.5K] · Answer 2 · 2026-03-31T11:31:04+03:00

lawyer [12.5K]1 month ago

4 0

Having no profit indicates that P(x)=0: x³-4x²+3x-12=0
factor this by regrouping: x²(x-4)+3(x-4)=0
extract (x-4): (x-4)(x²+3)=0
thus, x=4 or x²=-3
since x² cannot be negative, the only viable solution is x=4.