Use the equation to show the maximum, minimum, and minimum in the future.
For each queation please show the steps, explain the approuch behind it, explain the important steps in the computation, and explain the result in the context of the problem.
A small business selling sun-glasses has seen a mostly linear growth in profits over 2020, though there was also a seasonal impact. The data from 2020 was used to create a model for the profit per month P as a function of the number of months since the beginning of 2020
P= f(m) = 1000m - (12000/π) cos((π/6)m)
Use differentiation methods for the following:
1. Use the equation to show that the maximum profit in 2020 occured at the end of July, when m=7.
2. Show that the model predicts there will be a local minimum in profit at the end of November 2021, when m= 23.
3. Show that the model predicts that the minimum profit in 2021 will occur at the beginning of January, when m= 12.
Answer
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
1 Attachment
-
Please allow at least a few hours. One hour is too short for such questions with multiple parts.
-
Thank you for the advice. I am new to this website and did not know the hour was a time limit on how long you had to answer the question.
-
That's fine. Yes, the answers must be submitted before the deadline.
- answered
- 196 views
- $10.00
Related Questions
- Show that $\int_0^{\frac{\pi}{2}}\frac{ x}{ \tan x}dx=\frac{\pi}{2} \ln 2$
- You have a piece of 8-inch-wide metal which you are going to make into a gutter by bending up 3 inches on each side
- Calculus - stationary points, Taylor's series, double integrals..
- Two short calculus questions - domain and limits
- Integrate $\int x^2(1-x^2)^{-\frac{3}{2}}dx$
- Calculate the superficial area
- Work problem involving pumping water from tank
- Two persons with the same number of acquaintance in a party