Suppose that the supply at plant $1($Pittsburgh$)$ increased from $180$ to $200$ creating excess of total

supply over total demand. The following table provides the cost incurred at each plant for storing a

unit that is not shipped and needs to be stored in the warehouse.

Plant Storage cost per unit

$1$: Pittsburgh $$0\mathrm{.}15$

$2$: Memphis $$0\mathrm{.}20$

$3$: Omaha $$0\mathrm{.}10$

Modify the network and the associated LP model $($from page $1)$ to determine the shipping plan that will

have the minimum total costs for scenario A $($total costs include shipping costs & storage costs$)$