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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 two things. The first is the manufacturer's fixed costs. This amount covers expenses such as plant maintenance and insurance, and it is the same no matter how many items are produced. The second thing we need to know is the cost for each unit produced, which is called the variable cost. Suppose that a manufacturer of widgets has fixed costs of $1000 per month and that the variáble cost is $20 per widget (so costs $20 to produce 1 widget). (a) Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number N of widgets produced in a month is linear. C always increases by $20 when N increases by $ X. Therefore, C has a constant rate of change and so is a linear function of N.

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 two things. The first is the manufacturer's fixed costs. This amount covers expenses such as plant maintenance and insurance, and it is the same no matter how many items are produced. The second thing we need to know is the cost for each unit produced, which is called the variable cost. Suppose that a manufacturer of widgets has fixed costs of $1000 per month and that the variáble cost is $20 per widget (so costs $20 to produce 1 widget). (a) Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number N of widgets produced in a month is linear. C always increases by $20 when N increases by $ X. Therefore, C has a constant rate of change and so is a linear function of N.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 2CA
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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 two things. The first is the manufacturer's fixed costs. This amount covers expenses such as plant maintenance and insurance, and it is the same no matter. how many items are produced. The second thing we need to know Is the cost for each unit produced, which is called the variable cost. Suppose that a manufacturer of widgets has fixed costs of $1000 per month and that the variable cost is $20 per widget (so it costs $20 to produce 1 widget). (a) Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number N of widgets produced in a month is linear. C always increases by $20 when N increases by $ X . Therefore, C has a constant rate of change and so is a linear function of N. Identify the slope and initial yalue of this function.
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 two things. The first is the manufacturer's fixed costs. This amount covers expenses such as plant maintenance and insurance, and it is the same no matter. how many items are produced. The second thing we need to know Is the cost for each unit produced, which is called the variable cost. Suppose that a manufacturer of widgets has fixed costs of $1000 per month and that the variable cost is $20 per widget (so it costs $20 to produce 1 widget). (a) Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number N of widgets produced in a month is linear. C always increases by $20 when N increases by $ X . Therefore, C has a constant rate of change and so is a linear function of N. Identify the slope and initial yalue of this function.
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