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bry856
 one year ago
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) = x^3 – 4x^2 + 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)?
bry856
 one year ago
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) = x^3 – 4x^2 + 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)?

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bry856
 one year ago
Best ResponseYou've already chosen the best response.11, 2, 3, 4, or 6 years?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmm... http://www.openstudy.com/study#/updates/52654419e4b040e33d2c9a43

bry856
 one year ago
Best ResponseYou've already chosen the best response.1theres no answer on that ://

bry856
 one year ago
Best ResponseYou've already chosen the best response.1would it be 4 x can not be negative since it is time in years. so x4 = 0 gives x=4; hence 4 years will bring in breakeven point

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.1So we just need to find the roots of that expression \[\large P(x) = x^3 – 4x^2 + 3x – 12\] So we can factor this one easily by grouping \[\large 0 = (x^3  4x^2) + (3x  12)\] Factor out an x^2 from the first...and factor out a 3 from the second \[\large x^2(x  4) + 3(x  4) = 0\] Combine the common factors and put the rest together \[\large (x4)(x^2 + 3) = 0\] So solve that for x to make it equal 0 and as you just posted above...it is indeed 4 years :)
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