Solve the following problem and use the notation provided in the picture or specify your nodes.

The numbers above the nodes are supplies (negative values represent demands) and numbers shown above the arcs are unit shipping costs. The darkened arcs form a spanning tree. (a) Compute primal flows for each tree arc. (b) Compute dual variables for each node. (c) Compute dual slacks for each nontree arc.

14.1 Consider the following network flow problem: Numbers shown above the nodes are supplies (negative values represent demands) and numbers shown above the arcs are unit shipping costs. The darkened arcs form a spanning tree. (a) Compute primal flows for each tree arc. (b) Compute dual variables for each node. (c) Compute dual slacks for each nontree arc. 14.1 Consider the following network flow problem: Numbers shown above the nodes are supplies (negative values represent demands) and numbers shown above the arcs are unit shipping costs. The darkened arcs form a spanning tree. (a) Compute primal flows for each tree arc. (b) Compute dual variables for each node. (c) Compute dual slacks for each nontree arc