It's a good solution to calculate the first derivative and let and indeed use the quotientrule for the first one.
Find the number of units x that produces a maximum revenue R
1. R= ((1,000,000x))/((.02x^2+1800))
Now I think I am supposed to differentiate this then set it to zero to find the number but what would I use quotient rule?
Find the number of units x that produces the minimum average cost per unit c
C=3000x-x^2 square root(300-x)
Since cost is C/x
((3000x-x^2 square root(300-x))/((x))
I am stuck here the radical is kind of confusing me if I took out the x would I just be left with
x-square root 300 ? and then I have to take the derivative of that and set it to zero?