Suppose that the total cost function for manufacturing certain product is C(x)=0.2(0.01x^2+120)


Question: The quantity demanded each month of the Walter Serkin recording of Beethoven’s Moonlight Sonata, manufactured by Phonola records Industries is related to the price of the compact disc:

\[p=-0.00042x+6\]

with \(\left( 0\le x\le 12,000 \right)\) represents the demand, and p denotes the price and x is the number of discs demanded. The total monthly cost for pressing and packaging x copies of this classical recording is given by

\[C\left( x \right)=600+2x-0.00002{{x}^{2}}\]

with \(0\le x\le 20000\). To maximize its profits, how many copies should Phonola produce each month?

Price: $2.99
Solution: The solution file consists of 1 page
Deliverables: Word Document

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