“1 2 3” all refer to the same equation at the top. so i included all three questions in the same post so it’s less confusing. A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacksof coffee beans is given byC(x) = 1200 + 3x –0.01x? + 0.00007x³.1. Find the marginal cost function.2. Find the value C'(200), and explain its meaning.3. Compute the cost of producing the 201st sack of coffee (you may use a calculator for this). Does themarginal cost provide a good approximation to this cost?

Answered: A coffee production company stores 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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“1 2 3” all refer to the same equation at the top. so i included all three questions in the same post so it’s less confusing.

A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacks
of coffee beans is given by
C(x) = 1200 + 3x –0.01x? + 0.00007x³.
1. Find the marginal cost function.
2. Find the value C'(200), and explain its meaning.
3. Compute the cost of producing the 201st sack of coffee (you may use a calculator for this). Does the
marginal cost provide a good approximation to this cost?

Expert Solution

Step 1

$G i v e n : C (x) = 1200 + 3 x - 0.01 x^{2} + 0.00007 x^{3} 1) M a r g i n a l \cos t o f t h e f u n c t i o n i s t h e d e r i v a t i v e o f C (x) . C' (x) = 0 + 3 - 2 (0.01) x + 3 (0.00007) x^{2} C' (x) = 3 - 0.02 x + 0.00021 x^{2} (1)$

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