For Exercises 11-16, assume that C(x) and R(x) are in dollars and x is the number of units produced and sold. 11. For the total-cost function C(x) = 0.01x? + 1.6x + 100, find AC and C'(x) when x = 80 and Ax = 1. 12. For the total-cost function C(x) = 0.01x? + 0.6x + 30, find AC and C'(x) when x= 70 and Ax = 1. 13. For the total-revenue function R(x) = 2x, find AR and R'(x) when x = 70 and Ax = 1. 14. For the total-revenue function R(x) = 3x, find AR and R'(x) when x = 80 and Ax = 1. 15. a) Using C(x) from Exercise 11 and R(x) from Exercise 14, find the total profit, P(x). b) Find AP and P'(x) when x = 80 and Ax = 1. 16. a) Using C(x) from Exercise 12 and R(x) from Exercise 13, find the total profit, P(x). b) Find AP and P'(x) when x = 70 and Ax = 1.

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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For Exercises 11-16, assume that C(x) and R(x) are in
dollars and x is the number of units produced and sold.
11. For the total-cost function
C(x) = 0.01x? + 1.6x + 100,
find AC and C'(x) when x = 80 and Ax = 1.
12. For the total-cost function
C(x) = 0.01x? + 0.6x + 30,
find AC and C'(x) when x= 70 and Ax = 1.
13. For the total-revenue function
R(x) = 2x,
find AR and R'(x) when x = 70 and Ax = 1.
14. For the total-revenue function
R(x) = 3x,
find AR and R'(x) when x = 80 and Ax = 1.
15. a) Using C(x) from Exercise 11 and R(x) from Exercise 14,
find the total profit, P(x).
b) Find AP and P'(x) when x = 80 and Ax = 1.
16. a) Using C(x) from Exercise 12 and R(x) from Exercise 13,
find the total profit, P(x).
b) Find AP and P'(x) when x = 70 and Ax = 1.
Transcribed Image Text:For Exercises 11-16, assume that C(x) and R(x) are in dollars and x is the number of units produced and sold. 11. For the total-cost function C(x) = 0.01x? + 1.6x + 100, find AC and C'(x) when x = 80 and Ax = 1. 12. For the total-cost function C(x) = 0.01x? + 0.6x + 30, find AC and C'(x) when x= 70 and Ax = 1. 13. For the total-revenue function R(x) = 2x, find AR and R'(x) when x = 70 and Ax = 1. 14. For the total-revenue function R(x) = 3x, find AR and R'(x) when x = 80 and Ax = 1. 15. a) Using C(x) from Exercise 11 and R(x) from Exercise 14, find the total profit, P(x). b) Find AP and P'(x) when x = 80 and Ax = 1. 16. a) Using C(x) from Exercise 12 and R(x) from Exercise 13, find the total profit, P(x). b) Find AP and P'(x) when x = 70 and Ax = 1.
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