Explanation Given information: The number of computers that can be sold when price is P dollars is given by a linear function. N ( 1000 ) = 10000 and N ( 1500 ) = 7500 . Concepts used: Slope intercept form of a line is given as, y = m x + b where m is the slope of line and b is y -intercept. Calculation: As per the given information, The number of computers that can be sold when price is P dollars is given by a linear function N ( P ) . Let us suppose N ( P ) = m P + c ...eq(i) where P is the price of one computer and N ( P ) is number of computer sold. Also, N ( 1000 ) = 10000 and N ( 1500 ) = 7500 . i .e . N ( 1000 ) = 10000 ⇒ 1000 m + c = 10000 To determine (b) The slope of linear function N ( P ) . To determine (c) The change in number of computer sold if the price is increased by Δ P = $ 100 .

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 1.2, Problem 27E

To determine

(a)

The linear function N(P).

To determine

(b)

The slope of linear function N(P).

To determine

(c)

The change in number of computer sold if the price is increased by ΔP=$100.

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Chapter 1.2, Problem 26E

Chapter 1.2, Problem 28E

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Chapter 1 Solutions

Calculus: Early Transcendentals

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