Math 373: Mathematical Programming and Optimization I

Constrained optimization of the function \(f(B,C)=600B+500C.\)

The polyhedron \(\{(x_1,x_2,x_3) : x_1+x_2+x_3=1, x_1,x_2,x_3\geq 0\}\).

A polyhedron in \(\mathbb{R}^3\).

A visualization of the feasible region in the plane \(x_1+x_2+x_3=1\), where the the edges of the feasible set are associated with the nonnegativity constraints \([x_1,x_2,x_3] \ge \boldsymbol{0}\).

Simplex iterations.