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cluponka [151]
2 years ago
7

An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x) = x3 − 4x2 + 5x − 2

0, where p is in hundreds of dollars and x is number of years the company has been in business. Identify the year (x) the entrepreneur will break even.
A. year 1
B. year 2
C. year 3
D. year 4
Biology
2 answers:
defon2 years ago
7 0

break even means that the total income is equal to the total cost.

Therefore, we can equal the total gain to zero.

We have then:


p (x) = x ^ 3 - 4x^2 + 5x - 20

Equaling zero we have:

x ^ 3 - 4x^2 + 5x - 20 = 0

Rewriting the polynomial we have:


(x-4) (x ^ 2 + 5) = 0

We observe that the polynomial only has a real solution.

Therefore we have:

x-4 = 0x = 4

Answer:

the year (x) the entrepreneur will break even is:

D. year 4

kolbaska11 [484]2 years ago
3 0
Out of the choices given, the year that the entrepreneur will finally break even will be year 4. This will make the correct answer D. 
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