A pizzeria owner estimates that by charging x dollars for a family size pizza, he can sell 50-x pizza in one month. What price will give him maximum sales

A pizzeria owner estimates that by charging x dollars for a family size pizza, he can sell 50-x pizza in one month. What price will give him maximum sales
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50-x pizzas at $x each fetches x(50-x) dollars in sales=50x-x². We can write this as 625-(625-50x+x²). This is equal to 625-(25-x)². This has a maximum value of $625 when x=25 because (25-x)² becomes zero. So when the pizza price is $25 each, he sells 50-25=25 pizzas.

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