SOLUTION: Acme Robots produces the Robo-Maid. Their annual profit P for producing x units per year is given by the equation P(x) = -.02x2 + 400x - 1000. (a) What is their annual profit

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Question 1164882: Acme Robots produces the Robo-Maid. Their annual profit P for producing
x units per year is given by the equation P(x) = -.02x2 + 400x - 1000.
(a) What is their annual profit if 10 units are produced?
(b) How many units should they produce each year in order to maximize
profit?
(b) What is the maximum annual profit?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Profit(10)=-0.02*100+4000-1000=$2998


vertex is at x=-b/2a or -400/-0.04=10000 units for maximum profit.
That is 0.02*1000^2+400(10000)-1000=$1,999,000

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