Cost Suppose the cost in dollars to produce x posters is given by 5x + 3 C(x) x + 1 (a) Sketch a graph of C(x). (b) Find a formula for C(x + 1) – C(x), the cost to produce an additional poster when x posters are already produced. (c) Find a formula for A(x), the average cost per poster. (d) Find a formula for A(x + 1) - A(x), the change in the average cost per poster when one additional poster is pro- duced. (This quantity is approximately equal to the mar- ginal average cost, which will be discussed in the chapter on the derivative.)

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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Cost Suppose the cost in dollars to produce x posters is
given by
5x + 3
C(x)
x + 1
(a) Sketch a graph of C(x).
(b) Find a formula for C(x + 1) – C(x), the cost to produce
an additional poster when x posters are already produced.
(c) Find a formula for A(x), the average cost per poster.
(d) Find a formula for A(x + 1) - A(x), the change in the
average cost per poster when one additional poster is pro-
duced. (This quantity is approximately equal to the mar-
ginal average cost, which will be discussed in the chapter
on the derivative.)
Transcribed Image Text:Cost Suppose the cost in dollars to produce x posters is given by 5x + 3 C(x) x + 1 (a) Sketch a graph of C(x). (b) Find a formula for C(x + 1) – C(x), the cost to produce an additional poster when x posters are already produced. (c) Find a formula for A(x), the average cost per poster. (d) Find a formula for A(x + 1) - A(x), the change in the average cost per poster when one additional poster is pro- duced. (This quantity is approximately equal to the mar- ginal average cost, which will be discussed in the chapter on the derivative.)
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