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Question: Maple ignores one of the variables in solve?

Question:Maple ignores one of the variables in solve?

alexmcleod58 10 Maple
solve
July 08 2010
0

Hi,

i want a first order condition as which expresses the optimal l as a function of q and a

I did this

diff((q*l^(1/3)*q)*(1-l)^(1/2)+(1-a)*(1-q*l^(1/3))*q*(1-l)^(1/2)+a*(1-q*(1-l)^(1/2))*q*l^(1/3), l)

and got

(1/3)*q^2*sqrt(1-l)/l^(2/3)-(1/2)*q^2*l^(1/3)/sqrt(1-l)-(1/3)*(1-a)*q^2*sqrt(1-l)/l^(2/3)-(1/2)*(1-a)*(1-q*l^(1/3))*q/sqrt(1-l)+(1/2)*a*q^2*l^(1/3)/sqrt(1-l)+(1/3)*a*(1-q*sqrt(1-l))*q/l^(2/3)

which i think is right

but then when I call that k

and solve for k(l)=0

it gives me a solution that doesn't include any qs

I checked and it's the same solution returned if I didn't include any qs in the objective function

why doesn't it give me the correct answer?

thanks
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