Suppose that a manufacturer of widgets has fixed costs of $9000 per month and that the variable cost is $10 per widget (so it costs $10 to produce 1 widget). (a) Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. (Use N as the number of widgets produced in a month.) C = (b) Express using functional notation the total cost if there are 200 widgets produced in a month. ) Calculate the total cost if there are 200 widgets produced in a month. $

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To
determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and
insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable
cost by the number of items produced during that period and then add the fixed costs.
Suppose that a manufacturer of widgets has fixed costs of $9000 per month and that the variable cost is $10 per widget (so it costs
$10 to produce 1 widget).
(a) Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced
in a month. (Use N as the number of widgets produced in a month.)
C =
(b) Express using functional notation the total cost if there are 200 widgets produced in a month.
Calculate the total cost if there are 200 widgets produced in a month.
$
Transcribed Image Text:The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs. Suppose that a manufacturer of widgets has fixed costs of $9000 per month and that the variable cost is $10 per widget (so it costs $10 to produce 1 widget). (a) Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. (Use N as the number of widgets produced in a month.) C = (b) Express using functional notation the total cost if there are 200 widgets produced in a month. Calculate the total cost if there are 200 widgets produced in a month. $
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