Question: Maple ignores one of the variables in solve?


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


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?


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