Abram-Takera owns Scylar LLC. The firm produces and sells GramFam brand The firm’s weekly  profit in  thousands of dollars  for sweatpants  is given by the function                 R (s) = -2s2  + 120s – 240   where ‘s’ is the number of sweatpants sold in 1000s.   Find the number of sweatpants sales that will lead to maximum revenue. Find the maximum revenue. Demonstrate mathematically and briefly explain why it is possible for the firm to make lesser profit if it sells more than the number of sweatpants arrived at as answer to sub-question (a) immediately above.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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  • Abram-Takera owns Scylar LLC. The firm produces and sells GramFam brand The firm’s weekly  profit in  thousands of dollars  for sweatpants  is given by the function

     

          R (s) = -2s2  + 120s – 240

 

where ‘s’ is the number of sweatpants sold in 1000s.

 

  1. Find the number of sweatpants sales that will lead to maximum revenue.
  2. Find the maximum revenue.

Demonstrate mathematically and briefly explain why it is possible for the firm to make lesser profit if it sells more than the number of sweatpants arrived at as answer to sub-question (a) immediately above.

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