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.

Calculus Maxima-Minima Derivatives
Fionacake Fionacake
30
Report

Answer

Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer

1 Attachment

Erdos Erdos
4.8K
  • Erdos Erdos
    0

    Please allow at least a few hours. One hour is too short for such questions with multiple parts.

  • Fionacake Fionacake
    0

    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.

  • Erdos Erdos
    0

    That's fine. Yes, the answers must be submitted before the deadline.

The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.