A small business's cost to produce I units of a new product is given byC(x) = -0.001x² + 4x+506 dollars. The business earns a revenue ofR(x)4x dollars from selling I units. Determine the marginal profit of the%Dbusiness at a production level of 306 units.Enter your answer to the nearest whole number.

Answered: A small business's cost to produce I…

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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Similar questions

The business manager of a company that produces in-ground outdoor spas determines that the cost (in dollars) of producing x spas in thousands of dollars is given by C(x)=0.04x² +4.1x+100 Find the average rate of change in cost if production is changed from 10 in-ground outdoor spas to 11 in-ground outdoor spas. $149,940 $145,000 $4,994 o $4,940
The amount of money in a fund F (in millions of dollars) can be approximated by the equation F=.634x2-5.17x+23.8, where x=5 corresponds to the year 2005. What year produced $72 million?
Suppose that the cost (in dollars) of manufacturing x items is approximated by the formula C2 = 2x + x2. Find the daily rate of change in the cost function at the time the production level is 10 items and changing at a rate of 3 items per day. $7.33 per day $3.01 per day $66 per day $2.83 per day
A company selling widgets has found that the number of items sold, x, depends upon the price, p at which 70000 they're sold, according the equation a (0.5p + 1)² Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.06 per month. Find the rate at which revenue is changing when the company is selling widgets at $4 each. Revenue is changing at a rate of dollars per month.
Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is R=x(9,000-0.1x2)
If a certain fabric is priced at P68 per yard. Express the cost C(x) as a function of the number of yards x. Show your solutions. *
Suppose f(x)=−x2+6x+40 models the number of app downloads for a newly released app in a year from January to December. If x -values represent the months of the year and y-values represent the downloads, what month had the most downloads? The most downloads occurred in April. The most downloads occurred in September. The most downloads occurred in October. The most downloads occurred in March.

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