Problem $2$

By including intermediary distribution centers $x$ and $Y$ as shown in the figure and using the given network, will the company sawe money in its transpartation costs campared to the results obtained in problem $1?($Note: For any two civen nodes, a directed arrow represents an existing route between the two nodes.$)$

a$)$ Write the mathematical farmulation of the problem.

b$)$ Use the Excel Solver to sahe the problem: Generate the answer and sensitivity reports in Gacel, and stamit your Excel warkbock as a separate attachment.

c$)$ Provide the solution obtained in the space prowided. What is the optimal cast of transportation? will the transpartation casts be reduced after the intermediate points have been included?