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)? 1 year

Answer 1

Answer:

hope this helps :))

Step-by-step explanation:

the break even point is when y = 0 because y is the profit. This is also the x-intercept so since the x-axis represents the years, the x-intercept is the break even point, in this case that number is 4. So 4 years is the correct answer. its an easier way to think about it i think.     also, can i pretty pretty please get brainliest :))

Answer 2

No profit means P(x)=0: x³-4x²+3x-12=0
factor by regrouping: x²(x-4)+3(x-4)=0
take out (x-4): (x-4)(x²+3)=0
x=4 or x²=-3
x² is not a negative number, so x=4 is the only answer.