A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175 to set up his booth. Furthermore, the vendor's averagecost for each product he produces is approximately $0.25.(a) Write a linear cost function representing the cost C (x) (in $) to the vendor to produce x products.(b) Write a linear revenue function representing the revenue R (x) (in $) for selling x products.(c) Determine the number of products to be produced and sold for the vendor to break even.(d) If 90 products are sold, will the vendor make money or lose money?Part: 0/4Part 1 of 4(a) The linear cost function representing the cost is C (x) =XŚ8E ›

Answered: Image /qna-images/answer/d1f58915-2a37-4c98-b6f2-20955f8f696f.jpg

Answered: A vendor at a carnival sells cotton…

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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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 $14 per widget (so it costs $14 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 225 widgets produced in a month.C( )Calculate the total cost if there are 225…
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