Answer:
The total amount of revenue is $82950
Step-by-step explanation:
* Lets explain how to solve the problem
- The number of printers sold since 2003 at Mike’s office supply store
can be modeled by the function N(t) = 15t + 85
∴ The number of printers is N(t) = 15t + 85
- The price per printer can be modeled by P(t) = 15t² - 32t + 126
∴ The price per printer is P(t) = 15t² - 32t + 126
- t is the number of years since 2003
- The amount of revenue is the product of the number of printers
sold and the price per printer
∴ Revenue = N(t) × P(t)
- We need to find the total amount of revenue generated by the
sales of printers in the office supply store in 2009
∵ t is the number of years since 2003
∴ In 2009 t = 2009 - 2003 = 6 years
∵ t = 6 years
∵ N(t) = 15t + 85
∴ N(6) = 15(6) + 85 = 175
∴ They sold 175 printers from 2003 to 2009
∵ t = 6 years
∵ P(t) = 15t² - 32t + 126
∴ P(6) = 15(6)² - 32(6) + 126 = 474
∴ The price per printer is $474
∵ Revenue = N(t) × P(t)
∴ Revenue = 175 × 474 = 82950
* The total amount of revenue is $82950
