Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q + 800, what profit can be earned if the price is $450 per item? The profit is $ (Round to the nearest cent.)

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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**Given Cost and Price (demand) functions**

Cost function \( C(q) = 100q + 40000 \)
Price function \( p(q) = -2.8q + 800 \)

Given the price is set to be $450 per item, the problem requires calculating the profit.

The profit is $__[blank]__.
*(Round to the nearest cent.)*
Transcribed Image Text:**Given Cost and Price (demand) functions** Cost function \( C(q) = 100q + 40000 \) Price function \( p(q) = -2.8q + 800 \) Given the price is set to be $450 per item, the problem requires calculating the profit. The profit is $__[blank]__. *(Round to the nearest cent.)*
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