1. Consider the minimum-cost flow problem given in the diagram below. Solve this by adding an artificial node, and performing diagramatic two-step simplex method as in Lecture 29. Make sure you draw the diagrams at each step. 51-1) 1 $2 214 $4 $2 $2 11-2] + $1 31-4 $5 4[3] 1. Consider the minimum-cost flow problem given in the diagram below. Solve this by adding an artificial node, and performing diagramatic two-step simplex method as in Lecture 29. Make sure you draw the diagrams at each step. 51-1) 1 $2 214 $4 $2 $2 11-2] + $1 31-4 $5 4[3]