Answered: 30,000- C(x) = -0.02 + 50x + 100 5000-…

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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Question

Average and marginal costs Suppose the cost of producing x items is
given by the function
C(x) = -0.02x2 + 50x + 100, for 0 < x …<1000.
a. Determine the average and marginal cost functions.
b. Determine the average and marginal cost for the first 100 items and interpret these
values.
c. Determine the average and marginal cost for the first 900 items and interpret these
values

30,000-
C(x) = -0.02 + 50x + 100
5000-
200
1000
Number of items
Figure 3.51
Cost (dollars)

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