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Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x -0.4x². a. Find the average cost per appliance of producing the first 120 appliances. b. Find the marginal cost when 120 appliances are produced. c. Show that the marginal cost when 120 appliances are produced is approximately the cost of producing one more appliance after the first 120 have been made, by calculating the latter cost directly. The average cost per appliance of producing the first 120 appliances is $ /appliance. (Round to the nearest cent as needed.)

Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x -0.4x². a. Find the average cost per appliance of producing the first 120 appliances. b. Find the marginal cost when 120 appliances are produced. c. Show that the marginal cost when 120 appliances are produced is approximately the cost of producing one more appliance after the first 120 have been made, by calculating the latter cost directly. The average cost per appliance of producing the first 120 appliances is $ /appliance. (Round to the nearest cent as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x -0.4x². a. Find the average cost per appliance of producing the first 120 appliances. b. Find the marginal cost when 120 appliances are produced. c. Show that the marginal cost when 120 appliances are produced is approximately the cost of producing one more appliance after the first 120 have been made, by calculating the latter cost directly. The average cost per appliance of producing the first 120 appliances is $/appliance. (Round to the nearest cent as needed.)
Transcribed Image Text:Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x -0.4x². a. Find the average cost per appliance of producing the first 120 appliances. b. Find the marginal cost when 120 appliances are produced. c. Show that the marginal cost when 120 appliances are produced is approximately the cost of producing one more appliance after the first 120 have been made, by calculating the latter cost directly. The average cost per appliance of producing the first 120 appliances is $/appliance. (Round to the nearest cent as needed.)
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