Control-drag $c\left(x\right)\=\dots$ 
Context Panel: Assign Function

$c\left(x\right)$ equal to zero.
Press the Enter key.

Context Panel: Solve≻Obtain Solutions for≻$x$ 

Context Panel: Select Element≻1

Context Panel: Assign to a Name≻$\mathrm{Xmin}$

Evaluate $c\left(x\right)$ at $x\=\mathrm{Xmin}$.

Context Panel: Simplify≻Symbolic

Context Panel: Assign to a Name≻$\mathrm{Cmin}$ 

Context Panel: Simplify≻Symbolic

Context Panel: Assign to a Name≻$\mathrm{C0}$ 

Context Panel: Evaluate and Display Inline

Context Panel: Assign to a Name≻$\mathrm{C8}$ 

Figure 3.8.9(a) compares $\mathrm{Cmin}$ with $\mathrm{C0}$ and $\mathrm{C8}$.

For all values of $\mathrm{\λ}\>1$, $\mathrm{Cmin}$ gives the absolute minimum cost, but the graph of $\mathrm{C8}$ is tangent to the graph of $\mathrm{Cmin}$ at $\mathrm{\λ}\=\sqrt{89}\/8\doteq 1.18$.

For $\mathrm{\&lambda;}<8\&sol;\left(\sqrt{89}-5\right)\doteq 1.8$, $\mathrm{C8}<\mathrm{C0}$; otherwise, $\mathrm{C8}\&gt;\mathrm{C0}$.

The intersection of the graphs of $\mathrm{C0}$ and $\mathrm{C8}$ is the most surprising outcome of the investigation. For any relative costs, the combined path determined by $\mathrm{Xmin}$ gives the absolute minimal cost. But the relative standing of the endpoint costs depends on relationship of the costs in the woods and along the road.