SOLUTION: Sophia owns a cheese factory. The amount of cheese, in kilograms, that she sells in one week, Q, is given by Q = 882 - 45p, where p is the price of a kilogram of cheese in euros

Question 1125278: Sophia owns a cheese factory. The amount of cheese, in kilograms, that she sells in one week, Q, is given by
Q = 882 - 45p, where p is the price of a kilogram of cheese in euros (EUR).
Sophia earns (p - 6.80) euros of profit for each kilogram of cheese sold.
-What price should Sophia set for her cheese so that she earns a maximum profit?
-What is her maximum profit?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Her total profit, , is:

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The maximum p-value is

Maximum profit is at the price of 13.2 euros
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17,524.8 euros is the maximum profit
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Check the math & get 2nd opinion if needed

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