Respuesta :
A function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .
Describe the term Function?
- Function: A relationship between two variables, one of which is dependent on the other and the other of which is independent, is represented by an expression.
- The overall cost incurred by a business (or organization) for one employee over the course of a year is known as the annual cost.
We provided Cost C. ( in thousand of dollar)
And a company's revenue R (in thousands of dollars).
C is the cost function.
- C = 254 - 9t + (1.1)t²
- Revenue function R = 341 - 3.2t
- where t time in year .
The value t = 9 is 9 years.
If P is the Annual profit. Then,
Profit = Revenue − Cost
P = R - C
P = 341 - (3.2)t - 254 - 9t + (1.1)t²
= (1.1)t² - (12.2)t + 87
Thus, a function P is provided that represents the company's annual profit: P = (1.1)t² - (12.2)t + 87 .
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Complete Question:
The annual cost C in thousands of dollars and revenue R in thousands of dollars for a company each year from 2010 through 2016 can be approximated by the models C = 254 − 9t + 1.1t2 and R = 341 + 3.2t where t is the year, with t = 10 corresponding to 2010.
(a) Write a function P that represents the annual profit of the company.
