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The cost, C, in dollars, of producing x frozen fruit yogurt bars can be modelled by the function C(x) = 3450 +4.5x -0.0001x², 0≤x≤ 5000. The revenue from selling x yogurt bars is R(x) = 3.25x. Determine the cost of producing 1000 frozen fruit yogurt bars. What is the revenue generated from selling this many bars. Compare the values of C'(1000) and C'(3000). What information do these values provide? When is C'(x) = 0? Explain why this is impossible. Determine R'(x). What does this value represent? The profit function, P(x) is the difference between the revenue and cost functions. Determine an equation for P(x). Find P'(x).

The cost, C, in dollars, of producing x frozen fruit yogurt bars can be modelled by the function C(x) = 3450 +4.5x -0.0001x², 0≤x≤ 5000. The revenue from selling x yogurt bars is R(x) = 3.25x. Determine the cost of producing 1000 frozen fruit yogurt bars. What is the revenue generated from selling this many bars. Compare the values of C'(1000) and C'(3000). What information do these values provide? When is C'(x) = 0? Explain why this is impossible. Determine R'(x). What does this value represent? The profit function, P(x) is the difference between the revenue and cost functions. Determine an equation for P(x). Find P'(x).

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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The cost, C, in dollars, of producing x frozen fruit yogurt bars can be modelled by the function C(x) = 3450 +4.5x -0.0001x², 0≤x≤ 5000. The revenue from selling x yogurt bars is R(x) = 3.25x. Determine the cost of producing 1000 frozen fruit yogurt bars. What is the revenue generated from selling this many bars. Compare the values of C'(1000) and C'(3000). What information do these values provide? When is C'(x) = 0? Explain why this is impossible. Determine R'(x). What does this value represent? The profit function, P(x) is the difference between the revenue and cost functions. Determine an equation for P(x). Find P'(x).
Transcribed Image Text:The cost, C, in dollars, of producing x frozen fruit yogurt bars can be modelled by the function C(x) = 3450 +4.5x -0.0001x², 0≤x≤ 5000. The revenue from selling x yogurt bars is R(x) = 3.25x. Determine the cost of producing 1000 frozen fruit yogurt bars. What is the revenue generated from selling this many bars. Compare the values of C'(1000) and C'(3000). What information do these values provide? When is C'(x) = 0? Explain why this is impossible. Determine R'(x). What does this value represent? The profit function, P(x) is the difference between the revenue and cost functions. Determine an equation for P(x). Find P'(x).
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