Let P={x R 100 | Ax=b,x 11 ,...,x 20 0}be a polyhedron, where A is

Let P={x ϵ R¹⁰⁰| Ax=b,x₁₁,...,x₂₀ ≥ 0}be a polyhedron, where A is an m x 100 matrices (1≤ m ≤ 100) with linearly independent rows and x_i are the components of the
vector x.
(a) For which values of m is it possible, that P has a degenerate BFS? Explain.
(b) Suppose x∈P is a degenerate, BFS. Must the product x₁₁....x₂₀ = 0 ? Explain.