I dont know anything about the slopes or economics or anything like that, but I can tell you that
Your integration was perfect except for the negative sign getting lost somewhere.
This is an economics problem, but even if you know nothing about economics, you might be able to help...
I am given the slope of the PPF to be
[z(K^0.5)(N^-0.5)]/2, so I know the the negative (-) of the slope of the PPF is the marginal productivity of labour (MPn).
I also know that z = 1/2 and K = 4
What I think I need to do to determine the equation for the PPF is to take the antiderivative of the slope. So I subsituted in z and K to get:
but here comes the part where I forget my calculus skills. I got
(2^0.5)(N^0.5) as my final answer but I'm not sure this is right.
Is the antiderivative of -0.707(N^-0.5) just equal to (2^0.5)(N^0.5)?
Thanks for your help!
Sorry about the lack of Math brackets, I tried putting them in initially but it reallllly messed up my equations, so apparently i don't know how to use them!