Three refineries with daily capacities of $6,5$ and $8$ million gallons, respectively, supply threedistribution 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 $10$centsper $1000$ gallons per pipeline mile. Table $1$ gives the mileage between the refineries andthe distribution areas. Refinery $1$ is not connected to distribution area $3.$ Construct theassociated transportation model.Table $1$: Mileage chart for Problem $1$Area $1$Area $2$Area $3$Refinery $1180180-$Refinery $2300800900$Refinery $3220200120$