Let x will represent the number of items manufacturedand sold in a month. Given the following informationfind the cost, revenue, and profit functions. Use thosefunction to answer the following questions.The fixed costs for a certain item are $7,600 per monthand the marginal cost to produce each item is $3. Theretailer intends to sell each item for $7/item.Cost function: C(x) =Preview3x+7600Revenue function: R(x) :7xPreviewProfit function: P(x) =Preview4x-7600If 2,561 items are manufactured and sold during themonth, what is the profit to the retailer? $ 2644How many items must be sold in order to have a profit of$4,084? ( 2961Find the break-even point. 0.6417

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Let x will represent the number of items manufactured and sold in a month. Given the following information find the cost, revenue, and profit functions. Use those function to answer the following questions.

Let x will represent the number of items manufactured and sold in a month. Given the following information find the cost, revenue, and profit functions. Use those function to answer the following questions.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

Let x will represent the number of items manufactured
and sold in a month. Given the following information
find the cost, revenue, and profit functions. Use those
function to answer the following questions.
The fixed costs for a certain item are $7,600 per month
and the marginal cost to produce each item is $3. The
retailer intends to sell each item for $7/item.
Cost function: C(x) =
Preview
3x+7600
Revenue function: R(x) :
7x
Preview
Profit function: P(x) =
Preview
4x-7600
If 2,561 items are manufactured and sold during the
month, what is the profit to the retailer? $ 2644
How many items must be sold in order to have a profit of
$4,084? ( 2961
Find the break-even point. 0.6417

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