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Question 3. Linear functions can be used to model certain situations. For example, a shop may pay a fixed amount for expenses such as rent and utilities. If it produces a a product, there will also be costs associated to it. In such a situation, you can build a linear function that models the situation. Part A. The expenses of a shop totals a fixed cost of $14,000. The shop produces advertising videos that cost around $150 to make per video produced. If x represents the number of videos produced, write a linear function, call it C, that describes the cost incurred by the shop if the produce a videos. Part B. The shop makes $400 per video produced. If x represents the number of videos produced, write a linear function, call it R, that describes how much revenue is made by the shop when they produce x videos. By revenue, we mean the amount of money made purely from selling the videos. We do not take into account any expenses incurred. Part C. When does C (x) = R(x)? What does your answer mean in this context?

Question 3. Linear functions can be used to model certain situations. For example, a shop may pay a fixed amount for expenses such as rent and utilities. If it produces a a product, there will also be costs associated to it. In such a situation, you can build a linear function that models the situation. Part A. The expenses of a shop totals a fixed cost of $14,000. The shop produces advertising videos that cost around $150 to make per video produced. If x represents the number of videos produced, write a linear function, call it C, that describes the cost incurred by the shop if the produce a videos. Part B. The shop makes $400 per video produced. If x represents the number of videos produced, write a linear function, call it R, that describes how much revenue is made by the shop when they produce x videos. By revenue, we mean the amount of money made purely from selling the videos. We do not take into account any expenses incurred. Part C. When does C (x) = R(x)? What does your answer mean in this context?

Calculus: Early Transcendentals
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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Question 3. Linear functions can be used to model certain situations. For example, a shop may pay a fixed amount for expenses such as rent and utilities. If it produces a a product, there will also be costs associated to it. In such a situation, you can build a linear function that models the situation. Part A. The expenses of a shop totals a fixed cost of $14,000. The shop produces advertising videos that cost around $150 to make per video produced. If x represents the number of videos produced, write a linear function, call it C, that describes the cost incurred by the shop if the produce x videos. Part B. The shop makes $400 per video produced. If x represents the number of videos produced, write a linear function, call it R, that describes how much revenue is made by the shop when they produce x videos. By revenue, we mean the amount of money made purely from selling the videos. We do not take into account any expenses incurred. Part C. When does C (x) = R (x)? What does your answer mean in this context?
Transcribed Image Text:Question 3. Linear functions can be used to model certain situations. For example, a shop may pay a fixed amount for expenses such as rent and utilities. If it produces a a product, there will also be costs associated to it. In such a situation, you can build a linear function that models the situation. Part A. The expenses of a shop totals a fixed cost of $14,000. The shop produces advertising videos that cost around $150 to make per video produced. If x represents the number of videos produced, write a linear function, call it C, that describes the cost incurred by the shop if the produce x videos. Part B. The shop makes $400 per video produced. If x represents the number of videos produced, write a linear function, call it R, that describes how much revenue is made by the shop when they produce x videos. By revenue, we mean the amount of money made purely from selling the videos. We do not take into account any expenses incurred. Part C. When does C (x) = R (x)? What does your answer mean in this context?
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