8. A motorbike company finds that it costs $250 to produce each motorbike, with fixed costs of $1400 per day The price function is p (x) = 750 – 5x , where p is the price (in dollars) at which exactly x motorbikes will be sold per day. a. Find the cost function, revenue function, and profit function. b. Find the number of motorbikes that should be produced each day to maximize profit. (Find the critical value, then use the second derivative test to show that the given value maximizes or minimizes the function). c. What is the maximum profit the company can earn per day?

8. A motorbike company finds that it costs $250 to produce each motorbike, with fixed costs of $1400 per day The price function is p (x) = 750 – 5x , where p is the price (in dollars) at which exactly x motorbikes will be sold per day. a. Find the cost function, revenue function, and profit function. b. Find the number of motorbikes that should be produced each day to maximize profit. (Find the critical value, then use the second derivative test to show that the given value maximizes or minimizes the function). c. What is the maximum profit the company can earn per day?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter3: Graphing Linear Functions

Section: Chapter Questions

Problem 1CA

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