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

Algebra ->  Quadratic Equations and Parabolas -> 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       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Profit(10)=-0.02*100+4000-1000=$2998
graph%28300%2C300%2C-10%2C20%2C-1000%2C10000%2C-0.02x%5E2%2B400x-1000%29

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
graph%28300%2C300%2C-10000%2C10200%2C-1000000%2C2500000%2C-0.02x%5E2%2B400x-1000%29