Case problem: a) A Cement company hires you to provide financial information to their Finance department. The product of focus is the sale of cement, which is currently sold at a price of $120 for 42.5 kg bag. The following information was given: C'(x) = 0.03x²+20x R'(x) = 120x

Calculus: Early Transcendentals
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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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Calculus Study Case A

Case problem:
a) A Cement company hires you to provide financial information to their Finance department. The
product of focus is the sale of cement, which is currently sold at a price of $120 for 42.5 kg bag.
The following information was given:
C'(x) = 0.03x²+20x
R'(x) = 120x
1)
11)
III)
Compute the marginal profit function given that the fixed cost is $5000
Find the Cost function C(x)
Find Revenue function R(x)
Based on the functions obtained in parts I, II and III discuss how the company can determine how much
cement needs to be produced to maintain profitability.
Advise the company what other information may be necessary to guide they finance department.
Transcribed Image Text:Case problem: a) A Cement company hires you to provide financial information to their Finance department. The product of focus is the sale of cement, which is currently sold at a price of $120 for 42.5 kg bag. The following information was given: C'(x) = 0.03x²+20x R'(x) = 120x 1) 11) III) Compute the marginal profit function given that the fixed cost is $5000 Find the Cost function C(x) Find Revenue function R(x) Based on the functions obtained in parts I, II and III discuss how the company can determine how much cement needs to be produced to maintain profitability. Advise the company what other information may be necessary to guide they finance department.
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