XYZ Things Inc. produces and sells pressure washers per year at $p per pressure washer. The demandfunction for pressure washers is given by:p=490 0.1xThe pressure washers cost $42 each to manufacture, plus fixed costs of $6700 pera. Find a function that expresses the company's monthly profit as a function of the quantity sold, c.P(x) =month.b. Determine the monthly quantity of pressure washers manufactured and sold that maximizes profit. (Ifnecessary, round to the nearest whole number.)quantity:c. What is the price that results in maximized profit? (If necessary, round to 2 decimal places.)price =d. What is the maximized profit? (If necessary, round to 2 decimal places.)profit==

Answered: Image /qna-images/answer/1454f636-b087-4a9e-9de7-e131d299e19a.jpg

Answered: XYZ Things Inc. produces and sells…

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 demand function for a manufacturer's microwave oven is p(x) = 900e−0.03x, where x is measured in thousands. Calculate the consumer surplus (in dollars) when the sales level for the ovens is 43,000. (Round your answer to the nearest cent.) Submit Answer
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Suppose demand is given by p = 1600 − x. Find the maximum revenue.
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…
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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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