# making a graphic of two variables

I have a two variables system (let say $c$ and $s$ for this variables) and as the system is too complicated to solve analytically, I try to find corresponding values for these two variables numerically.

u[c_] := c^(1 - σ)/(1 - σ)
h[s_] := (2 hbar)/(1 + Exp[η (1 - s/sbar)])
d[s_] := (b s^2)/2


with the following parameters ;

paramFinal = {σ -> 0.55, ρ -> 0.0127, g -> 0.05, sbar -> 95, η -> 3.5, hbar -> 0.01, α -> 0.01, b -> 0.0001, priceadap -> 0.0006,δ -> 0.1, γ -> 2, χ -> 0.025, ϕ -> 0.2, ω -> 0.2, β -> 0.8};


I write the equation from which I try to find the corresponding values for variables $c$ and $s$.

l[c_, s_] := -χ - (ρ + h[s]) + h'[s]/(ρ + h[s]) ((u[c] - d[s])/(u'[c]/β)) + d'[s]/(u'[c]/β)


In order to find these values, I write ;

sol3[i_] := Solve[l[c, i] == 0 /. paramFinal, c]
Table[sol3[i], {i, 0, 10}]


So, until this stage, I have no problem. I can find the corresponding values for $c$ for $s$ on the range between $0$ and $10$

But I can not figure out how to represent these points on a plane $(c,s)$. How can I proceed ? I tried to use ListPlot but it did not work. Any insights or hints are appreciated.

ListLinePlot[Table[{c /. FindRoot[l[c, s] == 0 /. paramFinal, {c, 1}], s}, {s, 0, 30}]]

tab = Table[sol3[i], {i, 0, 10}]

Last /@ Flatten[tab] // ListPlot