$1.$ The Azure Apparel Company is a renowned maker of high$-$quality clothing. After the

clothes are manufactured at Azure's two factories, they are checked for quality and then

stored until they are needed by Azure's retail outlets. Currently, Azure Apparel has three

retail outlets located in three different cities. The table below shows that each factory

$($source$)$ and retail outlet $($destination$)$ has different demands, and the cost of

transportation varies due to distances and traffic conditions.

Destination

Source $123$ Supply

$167440$

$258660$

Demand $304030$

a$.$ Draw a network that depicts the company's distribution network. Identify the

supply nodes, demand nodes, unit shipping costs, supply volumes and demand

volumes in this network.

b$.$ Formulate and solve a spreadsheet model for this problem.