For items 18-19: A manufacturer determines that the cost of producing x units of a particular commodity is C thousands of dollars, where C(x) = 0.04x2 +5.1x +40. 18. What is the average rate of change of the cost as the level of production changes from x=10 to x=11 units? A. $4.98 per unit B. $5.94 per unit C. $ 6.24 per unit D. $ 6.58 per unit 19. Find the instantaneous rate of change of the cost with respect to the production level when x310. Is the cost increasing or decreasing when 10 units are produced? A. increasing at the rate of $5.90 per unit B. decreasing at the rate of $4.90 per unit C. increasing at the rate of $6.20 per unit D. decreasing at the rate of $6.60 per unit

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 items 18-19: A manufacturer determines that the cost of producing x units of a particular
commodity is C thousands of dollars, where C(x) = 0.04x? +5. 1x + 40.
18. What is the average rate of change of the cost as the level of production changes from x=10 to x-11 units?
A. $4.98 per unit
B. $5.94 per unit
C. $ 6.24 per unit
D. $ 6.58 per unit
19. Find the instantaneous rate of change of the cost with respect to the production level when x=10.
Is the cost increasing or decreasing when 10 units are produced?
A. increasing at the rate of $5.90 per unit
B. decreasing at the rate of $4.90 per unit
C. increasing at the rate of $6.20 per unit
D. decreasing at the rate of $6.60 per unit
Transcribed Image Text:For items 18-19: A manufacturer determines that the cost of producing x units of a particular commodity is C thousands of dollars, where C(x) = 0.04x? +5. 1x + 40. 18. What is the average rate of change of the cost as the level of production changes from x=10 to x-11 units? A. $4.98 per unit B. $5.94 per unit C. $ 6.24 per unit D. $ 6.58 per unit 19. Find the instantaneous rate of change of the cost with respect to the production level when x=10. Is the cost increasing or decreasing when 10 units are produced? A. increasing at the rate of $5.90 per unit B. decreasing at the rate of $4.90 per unit C. increasing at the rate of $6.20 per unit D. decreasing at the rate of $6.60 per unit
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