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 $2000 per month and that the variable cost is $20 per widget (so it costs $20 to produce 1 widget). Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number / of widgets produced in a month is linear. . Therefore, C has a constant rate of change and so is a linear function of N. C always increases by $20 when N increases by Identify the slope and initial value of this function. slope initial value $ Write down a formula. C(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 $2000 per month and that the variable cost is $20 per widget (so it costs $20 to produce 1 widget). Explain why the function giving the total monthly cost C, in dollars, of this widget manufacturer in terms of the number / of widgets produced in a month is linear. . Therefore, C has a constant rate of change and so is a linear function of N. C always increases by $20 when N increases by Identify the slope and initial value of this function. slope initial value $ Write down a formula. C(N) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

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