Elements of Numerical Mathematical Economics with Excel

Exercises

• 1. Solve in Excel the directed graphs given in Figs. 1 and 2 , finding the shortest path from node   1 to node   9.
• 2. You are given a route map as represented in Fig. 3 with costs from node to node of the route. Solve it in Excel for the minimum cost route to choose, to reach destination h from current location a. You can only travel one way as indicated by the arrows. Plot in a chart the optimal route.
• 3. Reconsider the problem of Example 1 reformulated in a continuous framework as follows:
• y ˙ ( t ) = u ( t )

  
•     so that the following performance measure is minimized:

• Figure 1

• Figure 2 ...