Pinocchio Co$.$ now runs $3$ factories in the United States. The company also runs small stores in

the $4$ cities $-$ Boston, New York, Philadelphia, and Chicago. Table $1$ shows the production

capacity and unit production cost for the factories in the three locations.

Table $1$

Four stores have made orders for the coming month. Table $2$ shows their orders.

Table $2$

The per$-$unit shipping costs from factories to stores are shown in Table $3$

Table $3$

Formulate a Linear Programming model that minimizes the cost.