A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 13x - 0.025x²

Question

3 years ago

8

A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 13x - 0.025x²

The variable x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars. What is the maximum revenue the company can earn with this toy?

Mathematics

2 answers:

hjlf · Answer 1 · 2022-07-27T00:54:50+03:00

hjlf3 years ago

8 0

R(x) = 13x - 0.025x^2
For maximum R, R'(x) = 0
R'(x) = 13 - 0.05x = 0
0.05x = 13
x = 13/0.05 = 260

R(260) = 13(260) - 0.025(260)^2 = 3380 - 1690 = 1690
Maximum revenue = $1,690,000

Savatey [412] · Answer 2 · 2022-07-27T02:27:33+03:00

Savatey [412]3 years ago

5 0

When taking the quiz, make sure to enter 1690 as your answer and not 1,690,000 or else it will be considered wrong due to the fact that the question asks for the number in units of thousands. (: