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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Find a formula for the linear function with slope −3 and x-intercept 2.
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 formulas below are the cost and revenue functions for a company that manufactures and sells small radios. C(x) = 160,000+ 30x and R(x) = 40x a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 18,000 radios are produced and sold. a. The company's profit function is P(x) = . (Simplify your answer.) ...
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.

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