The demand equation for a quantity q of a product, in hundreds, at price p, in million rands, is p = 40- 4q. The cost of production is C = -q - 7q +45g + 5 million rands. %3D

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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The demand equation for a quantity q of a product, in hundreds, at price p, in million rands, is p = 40- 4q.
The cost of production is C = -q - 7g +45g + 5 million rands.
2.1 Express the company's profit as a function of q.
2.2 Use the second derivative test to determine the production level that earns the company the largest profit,
given that both the first and the second derivative of the profit function are defined on its domain.
Transcribed Image Text:The demand equation for a quantity q of a product, in hundreds, at price p, in million rands, is p = 40- 4q. The cost of production is C = -q - 7g +45g + 5 million rands. 2.1 Express the company's profit as a function of q. 2.2 Use the second derivative test to determine the production level that earns the company the largest profit, given that both the first and the second derivative of the profit function are defined on its domain.
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