SOLUTION: Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by P(x) = –0.002 x2 + 4.7x – 2200 (a) What is the company’s profit if

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by P(x) = –0.002 x2 + 4.7x – 2200 (a) What is the company’s profit if       Log On

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Question 1126044: Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by
P(x) = –0.002 x2 + 4.7x – 2200
(a) What is the company’s profit if 800 donuts are made daily?
(b) How many donuts should be made daily in order to maximize the company’s profit?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P%28800%29+=+-.002%2A800%5E2+%2B+4.7%2A800+-+2200+
+P%28800%29+=+-.002%2A+640000+%2B+3760+-+2200+
+P%28800%29+=+-1280+%2B+3760+-+2200+
+P%28800%29+=+280+
(a) $280 profit
(b)
+x%5Bmax%5D+ is at +-b%2F%282a%29+
+a+=+-.002+
+b+=+4.7+
+x%5Bmax%5D+=+-4.7%2F%282%2A%28-.002%29%29+
+x%5Bmax%5D+=+1175+
1,175 donuts daily to maximize profit