SOLUTION: How can i work out this problem I'm having trouble figuring it out? The revenue of a charter bus company depends on the number of unsold seats. If the revenue in dollars, R(x),

Question 599103: How can i work out this problem I'm having trouble figuring it out?
The revenue of a charter bus company depends on the number of unsold seats. If the revenue in dollars, R(x), is given by
R(x)=x^2+50x+5000.
Where x is the number of unsold seats, find the number of unsold seats that produce maximum revenue. What is the maximum revenue?

Answer by flame8855(424) (Show Source): You can put this solution on YOUR website!
check the function again i think it should be -x^2 +50x+5000
ok so do the derivative and set it equal to 0
-2x+50=0
x=25
now maximum revenue subsitute x =25
R(25)= -(25^2)+50(25)+5000
= -625+1250 +5000 = 5625.

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