he 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, ve need to know the manufacturer's fixed costs (covering things such haintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, ve multiply the variable cost by the number of items produced during that period and then add the fixed costs. uppose that a manufacturer of widgets has fixed costs of $5000 per month and that the variable cost is $16 per widget (so it costs $16 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 vidgets produced in a month.) (b) Express using functional notation the total cost if there are 150 widgets produced in a month. Calculate the total cost if there are 150 widgets produced in a month.

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ISBN:9780470458365
Author:Erwin Kreyszig
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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 $5000 per month and that the variable cost is $16 per widget (so it costs $16 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 150 widgets produced in a month.
Calculate the total cost
there are 150 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 $5000 per month and that the variable cost is $16 per widget (so it costs $16 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 150 widgets produced in a month. Calculate the total cost there are 150 widgets produced in a month.
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Step 1

Given that:

suppose that a manufacturer of vidgets has fixed costs of $5000 per month and that the variable cost is $16 per vidget.

To find:

(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.

(b)

Express using functional notation the total cost if there are 150 widgets produced in a month.

(c)

Calculate the total cost if there are 150 widgets produced in a month.

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