Suppose a company finds that its revenue can be modeled by R(q)= 800q and that itscost is modeled by C(q) = 10q²+ 400q. Given these functions what quantity willmaximize this company's profit?Select one:O 25O 201015O 5

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Answered: Suppose a company finds that its…

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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Suppose demand is given by p = 1600 − x. Find the maximum revenue.
The demand curve of a firm is p=1200 -21q and its total cost is c(q)=2q3 - 66q2 + 600q + 1000 where q is the output of the firm in thousands. i. Derive an expression R(q), for the firms revenue function. ii. Derive an expression π(q) for the firms profit function.
A basic cellular package costs $20/month for 60 minutes of calling with an additional charge of $0.20/minute beyond that time. The cost function C (r) for using a minutes would be • If you used 60 minutes or less, i.e. if if a < 60, then C (x) = 20 (the base charge). . If you used more than 60 minutes, i.e. (r - 60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (z - 60) minutes. Your total bill would be C(x)=20+0.20 (2- 60). If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use? The maximum calling minutes you can use is Number O Σ D A Submit Assignment O minutes. Quit & Save Back Question Menu - Next Nov 10 4:21 US:
The demand and supply functions for your college newspaper are, q = -11,000p + 4,400 and q = 2,000p + 500, respectively, where p is the price in dollars. At what price should the newspapers be sold so that there is neither a surplus nor a shortage of papers?
Need only handwritten solution only (not typed one).

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Suppose a company finds that its revenue can be modeled by R(q)= 800q and that its cost is modeled by C(q) = 10q+ 400q. Given these functions what quantity will maximize this company's profit? Select one: O 25 O 20 O 10 O 15