Q) We have U=(x^0.5)*y
and therefore, x=(40-2.5y)^0.5
Goal is to find the units of y to maximize this the value of output.
What I did:
du/dy = [(40-2.5y^0.5)]^0.5 * y
0=1/4(40-2.5y)^-3/4 * y (2.5)
The working seems incomplete but no matter what I do, I keep ending up with y=0. The answer is 3.20. How would we get this?
Thank you for any help.