The graph of a company's total cost function is shown. Use the graph to answer the following questions. C(x) Dollars 40,000 30,000 20,000 10,000 200 x 400 600 Units (a) Will the 101st item or the 501st item cost more to produce? Explain. The 101st unit will cost ---Select--- than the 501st unit, since C'(100) is ---Select--- | than C'(500), and the slope gives the cost of the next unit. (b) Does this total cost function represent a manufacturing process that is getting more efficient or less efficient? Explain. The manufacturing process is becoming |---Select--- ✓ efficient. Since the slope is ---Select--- | the cost of each additional unit is ---Select--- ✓ than the previous unit. '

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
Question
The graph of a company's total cost function is shown. Use the graph to answer the following questions.
C(x)
Dollars
40,000
30,000
20,000
10,000
200
x
400
600
Units
(a) Will the 101st item or the 501st item cost more to produce? Explain.
The 101st unit will cost ---Select--- than the 501st unit, since C'(100) is ---Select--- | than C'(500), and the slope gives the cost of the next unit.
(b) Does this total cost function represent a manufacturing process that is getting more efficient or less efficient? Explain.
The manufacturing process is becoming |---Select--- ✓ efficient. Since the slope is ---Select--- | the cost of each additional unit is ---Select--- ✓ than the previous unit.
'
Transcribed Image Text:The graph of a company's total cost function is shown. Use the graph to answer the following questions. C(x) Dollars 40,000 30,000 20,000 10,000 200 x 400 600 Units (a) Will the 101st item or the 501st item cost more to produce? Explain. The 101st unit will cost ---Select--- than the 501st unit, since C'(100) is ---Select--- | than C'(500), and the slope gives the cost of the next unit. (b) Does this total cost function represent a manufacturing process that is getting more efficient or less efficient? Explain. The manufacturing process is becoming |---Select--- ✓ efficient. Since the slope is ---Select--- | the cost of each additional unit is ---Select--- ✓ than the previous unit. '
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