Find the functions Ψ Di as functions of χ for each i as in the example. Also find the optimal value function Ψ in terms of χ . Graph these functions as  Compare the convex hulls of the approximations...

Find the functions Ψ_Di
as functions of χ for each i as in the example. Also find the optimal value function Ψ in terms of χ . Graph these functions as
 Compare the convex hulls of the approximations with the graph of Ψ