9.1. Introduction to the Problem

Try these first

1. 1.

   What is the minimum required bandwidth between any two users?

   Hint

   Think about the user connection requirements.

2. 2.

   Define linear programming in your own words.

   Hint

   Consider what we want to maximize or minimize.

3. 3.

   What is the minimum bandwidth requirement between any two users?

   • 1 Mbps
   • 2 Mbps
   • 5 Mbps

   Hint

   Recall the customer requirements discussed.

4. 4.

   True or False: Each route in the network has an unlimited bandwidth capacity.

   • True
   • False

   Hint

   Think about the limits on data transfer.

5. 5.

   Given a network with three users and specific revenue points for each connection, create a linear programming model that maximizes total profit while adhering to bandwidth constraints.

   Hint

   Focus on how to write out the variables and constraints clearly.

6. 6.

   Imagine a scenario where network usage increases, requiring an adjustment in bandwidth allocation. How would you modify the existing linear program to accommodate this new demand?

   Hint

   Consider how network changes impact your model's equations.