Return to the ILP of Exercises 12-13 and 12-40.

(a) Draw a 3-dimensional sketch of the convex hull of feasible solutions to this model

(b) Determine the dimension of the convex hull.

(c) For each of (a)–

(d) in Exercise 12-40 yielding a valid inequality, determine (by showing the required number of affinely independent solutions) whether it is facetinducing;

or intersects the convex hull in a face of lower dimension; or neither.