A clothing company has determined that if the price of a T-shirt is K40, then 150 will be demanded by  T-shirt wearers. When the price is K45, then 100 T-shirts are demanded by T- shirts wearers. (a) Find the price-demand equation, assuming that it is linear. (b) Find the revenue function. (c) Find the number of items sold that will give the maximum revenue. What is the maximum revenue? (d) What is the price of each item when maximum revenue is achieved?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
Section: Chapter Questions
Problem 5P: Jims Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demand for these two...
icon
Related questions
Question
100%

A clothing company has determined that if the price of a T-shirt is K40, then 150 will be demanded by 
T-shirt wearers. When the price is K45, then 100 T-shirts are demanded by T- shirts wearers.
(a) Find the price-demand equation, assuming that it is linear.
(b) Find the revenue function.
(c) Find the number of items sold that will give the maximum revenue. What is the maximum revenue?
(d) What is the price of each item when maximum revenue is achieved?

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Pricing Decisions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials of Business Analytics (MindTap Course …
Essentials of Business Analytics (MindTap Course …
Statistics
ISBN:
9781305627734
Author:
Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:
Cengage Learning
Principles of Accounting Volume 2
Principles of Accounting Volume 2
Accounting
ISBN:
9781947172609
Author:
OpenStax
Publisher:
OpenStax College
Cornerstones of Cost Management (Cornerstones Ser…
Cornerstones of Cost Management (Cornerstones Ser…
Accounting
ISBN:
9781305970663
Author:
Don R. Hansen, Maryanne M. Mowen
Publisher:
Cengage Learning