Three refineries with daily capacities of $6,5$ and $8$ million gallons, respectively, supply three

distribution areas daily demands of $4,8$ and $7$ million gallons, respectively. Gasoline is trans$-$

ported to three distribution areas through a network of pipelines. The transportation cost is $10$

cents per $1000$ gallons per pipeline mile. Table $1$ gives the mileage between the refineries and

the distribution areas. Refinery $1$ is not connected to distribution area $3.$ Construct the

associated transportation model.

Table $1$: Mileage chart for Problem $1$

Area $1$ Area $2$ Area $3$

Refinery $1180180-$ Refinery $2300800900$ Refinery $3220200$

$120$