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Cost Analysis A company charges $2.50 per bottle when a certain beverage is bought in lots of 120 bottles or less, with a price per bottle of $2.25 if more than 120 bottles are purchased. Let C(x) represent the cost of x bottles. Find the cost for the following numbers of bottles. (a) 90 (b) 120 (c) 150 (d) Graph y = C(x). (e) Where is C discontinuous? Find the average cost per bottle if the following number of bottles are bought. (f) 90 (g) 120 (h) 150 Find and interpret the marginal cost (that is, the instantaneous rate of change of the cost) for the following numbers of bottles. (i) 90 (j) 150

Cost Analysis A company charges $2.50 per bottle when a certain beverage is bought in lots of 120 bottles or less, with a price per bottle of $2.25 if more than 120 bottles are purchased. Let C(x) represent the cost of x bottles. Find the cost for the following numbers of bottles. (a) 90 (b) 120 (c) 150 (d) Graph y = C(x). (e) Where is C discontinuous? Find the average cost per bottle if the following number of bottles are bought. (f) 90 (g) 120 (h) 150 Find and interpret the marginal cost (that is, the instantaneous rate of change of the cost) for the following numbers of bottles. (i) 90 (j) 150

Calculus: Early Transcendentals
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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Cost Analysis A company charges $2.50 per bottle when a certain beverage is bought in lots of 120 bottles or less, with a price per bottle of $2.25 if more than 120 bottles are purchased. Let C(x) represent the cost of x bottles. Find the cost for the following numbers of bottles. (a) 90 (b) 120 (c) 150 (d) Graph y = C(x). (e) Where is C discontinuous? Find the average cost per bottle if the following number of bottles are bought. (f) 90 (g) 120 (h) 150 Find and interpret the marginal cost (that is, the instantaneous rate of change of the cost) for the following numbers of bottles. (i) 90 (j) 150
Transcribed Image Text:Cost Analysis A company charges $2.50 per bottle when a certain beverage is bought in lots of 120 bottles or less, with a price per bottle of $2.25 if more than 120 bottles are purchased. Let C(x) represent the cost of x bottles. Find the cost for the following numbers of bottles. (a) 90 (b) 120 (c) 150 (d) Graph y = C(x). (e) Where is C discontinuous? Find the average cost per bottle if the following number of bottles are bought. (f) 90 (g) 120 (h) 150 Find and interpret the marginal cost (that is, the instantaneous rate of change of the cost) for the following numbers of bottles. (i) 90 (j) 150
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