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A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. R(x) = (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of . P(x) = (D) Evaluate the marginal profit at = 250.

A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. R(x) = (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of . P(x) = (D) Evaluate the marginal profit at = 250.

Calculus: Early Transcendentals
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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A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. 0 (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of x. P(x) = (D) Evaluate the marginal profit at x = 250. P'(250) R(x) =
Transcribed Image Text:A company decides to begin making and selling computers. The price function is given as follows: p=-30x + 3600, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally, the financial department has determined that the weekly fixed cost of production will be 7000 dollars with an additional cost of 250 dollars per unit. (A) Find the revenue function in terms of x. 0 (B) Use the financial department's estimates to determine the cost function in terms of x. C(x) = (C) Find the profit function in terms of x. P(x) = (D) Evaluate the marginal profit at x = 250. P'(250) R(x) =
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