The demand function for a certain product is given by1000q + 1where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. (Round your answer to the nearest cent.)$p = 500 + The cost of producing x smart phones isC(x) = x² + 800x + 4000.(a) Use C(x) to find the average cost (in dollars) of producing 1,000 smart phones.$ 1804(b) Find the average value (in dollars) of the cost function C(x) over the interval from 0 to 1,000. (Round your answer to two decimal places.)$x

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Answered: The demand function for a certain…

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 $7000 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 225 widgets produced in a month.C( )Calculate the total cost if there are 225…
It's important to compare the total cost of cell phone plans including the cost of the phone. One company charges $64 for a phone and $45 per month for unlimited talk and text. Let C(t) represent the total cost of the phone and plan for t months. Give the formula for the function: Preview What is the total cost for the plan for 13 months. Give the function notation in the first box, the answer in the second box and choose the correct units in the third box. Select an answer
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…
The cost C (in dollars) of producing x units and the revenue R (in dollars) obtained by selling x units are shown in the figure. y 300 000 R 250 000 200 000 150000 100 000 50 000 X 1000 2000 3000 4000 5000
Where did you get the $1,000 on the daily demand (trail value)
17 The demand D for a product at price x is given by D = + 20. Find (4 + 20) and state the result. dr

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The demand function for a certain product is given by 1000 q + 1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 41 to 99 units. $ p = 500 +