Suppose that the dollar cost of producing x appliances is c(x) = 700+ 110x-0.4x² a. Find the average cost per appliance of producing the first 130 appliances. b. Find the marginal cost when 130 appliances are produced. c. Show that the marginal cost when 130 appliances are produced is approximately the cost of producing one more appliance after the first 130 have been made, by calculating the latter cost directly.

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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Suppose that the dollar cost of producing x appliances is \( c(x) = 700 + 110x - 0.4x^2 \).

a. Find the average cost per appliance of producing the first 130 appliances.

b. Find the marginal cost when 130 appliances are produced.

c. Show that the marginal cost when 130 appliances are produced is approximately the cost of producing one more appliance after the first 130 have been made, by calculating the latter cost directly.
Transcribed Image Text:Suppose that the dollar cost of producing x appliances is \( c(x) = 700 + 110x - 0.4x^2 \). a. Find the average cost per appliance of producing the first 130 appliances. b. Find the marginal cost when 130 appliances are produced. c. Show that the marginal cost when 130 appliances are produced is approximately the cost of producing one more appliance after the first 130 have been made, by calculating the latter cost directly.
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