Tc is equal to the integration from xA to xB: Tc = xB 1 dx xA v (x) (22) where v (xA) = ϕ(xA) and v (xB) = V(x). Assumption: suppose v(x) ≤ ϕ(x) does not hold, then, there is v(x) > ϕ(x) to assure the existing of the optimal solution. The Lipschitz...