$($Transportation Model Papelera HM$,$ S$.$A$.$ operates paper mills in David and Dolega. Warehouse facilities are located in Bugaba and Boquer$$n$.$ Distributors are located in Dibal$,$ Garich$,$ and Paso Canoas. Plant capacities and distributor demands for the coming month are as follows:

$\backslash$table$[[$Plant$,$Capacity $($units$)],[$David$,350],[$Dolega$,125]]$

$\backslash$table$[[$Distributor$,$Demand $($units$)],[$Dibala$,200],[$Gariche$,100],[$Paso Canoas,$125]]$

Transportation costs $($in $ $)$ for shipments from the two plants to the two warehouses, and from these to the three distributors are as follows:

Store

$\backslash$table$[[$Plant$,$Boquer$$n$,$Bugaba$],[$David$,6,5],[$Dolega$,2\mathrm{.}50,3\mathrm{.}50]]$

Distributor

$\backslash$table$[[$Store$,$Dibala,Gariche,Paso Canoas$],[$Boqueron$,8,4,6],[$Bugaba$,6,7,11]]$

a$)$ Create a network representation for this problem.

b$)$ Create a linear programming model that will help determine the plan that will minimize total distribution costs.

Please make the image of the network representation understandable. Thanks