Form the dual minimization problem and use the Simplex Method to solve. Show ALL work 4. A small company produces two products, I and II, at three facilities A, B and C. It has orders for 2000 of product I and 1200 of product II. The production capacities and costs per week to operate the three facilities are summarized in the table below. A 200 100 $1000 B 200 200 $3000 400 100 $4000 II Cost/week How many weeks should each facility operate to fill the company's orders at a minimum cost, and what is the minimum cost? Form the dual minimization problem and use the Simplex Method to solve. Show ALL work 4. A small company produces two products, I and II, at three facilities A, B and C. It has orders for 2000 of product I and 1200 of product II. The production capacities and costs per week to operate the three facilities are summarized in the table below. A 200 100 $1000 B 200 200 $3000 400 100 $4000 II Cost/week How many weeks should each facility operate to fill the company's orders at a minimum cost, and what is the minimum cost