The annual cot C (in thouand of dollar) and revenue R (in thouand of dollar) for a company each year from 2010 through 2016 can be approximated by the model = 254 − 9 1. 12 and = 341 3. 2 where t i the year. Write a function P that repreent the annual profit of the company. (Profit = Revenue − Cot)

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15-11-2022
Mathematics

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The annual cot C (in thouand of dollar) and revenue R (in thouand of dollar) for a company each year from 2010 through 2016 can be approximated by the model = 254 − 9 1. 12 and = 341 3. 2 where t i the year. Write a function P that repreent the annual profit of the company. (Profit = Revenue − Cot)

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contexto1024 contexto1024 · Answer 1 · 2022-11-18T03:24:02-05:00

Function of the Annual Profit of the company, say P is P(t) = ( 1.1 )t² + 12.2 t + 87 where t is represent time in years.

Function : is an expression which represents the relationship between two variable where one is dependent and other one is independent.

Annual Cost is the total amount of expenses a company (organisation) spends on an employee during one year.

we have given, Cost C ( in thousand of dollar)

and revenue R (in thousand of dollar) for a company. Cost function C, is C = 254 - 9t + (1.1)t² where t time in year .

and Revenue function R = 341 - 3.2t

the value t = 9 represents 9 years. If P represent the Annual profit then

P = R - C i.e., P = 341 - (3.2)t - 254 - 9t + (1.1)t²

= (1.1)t² - (12.2)t + 87

Hence, the annual profit (in thousand dollars) is

P = (1.1)t² - (12.2)t +87 .

To learn more about function , refer:

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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.