[Solution Library] The quantity demanded per month, x , of a certain brand of electric shavers is related to the price, p , per shaver by the equation p = -0.1
Question: The quantity demanded per month, x , of a certain brand of electric shavers is related to the price, p , per shaver by the equation p = -0.1 x + 10,000 (0 < x < 20,000), where p is measured in dollars. The total monthly cost for manufacturing the shavers is given
C ( x ) = 0.00002 x 3 - 0.4 x 2 +10,000 x + 20,000.
How many shavers should be produced per month in order to maximize the company's profit? What is the maximum profit?
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