Task $2.$ The problem of optimal transportation is a transport problem.

The trading company delivers $4$ types of goods from its two warehouses to a network of five stores. The average daily sales of each store type are as follows:

$4.$:

Table $2.$

Product

Daily sales, pieces. $,.$

Shop $11$

Shop $22$

Shop $33$

Shop $44$

Shop $55$

$454030502555504060203503025402044035203025$

Cost of delivery of a unit of goods to the shops is given in the table$4.$

The cost of shipping a unit of goods to shops is also known. Cost data are presented in the table$3$:

$...$

Table $3.$

In addition, it is known that the minimum balance of each product in the $1$st warehouse is

$100$ pcs$.,$ In the $2$ nd warehouse $-150$ pcs $.$ It is necessary to make a distribution plan for

the goods that ensures the minimum delivery cost.

Present the Table of Elements of the model.

Write conclusions about the delivery of goods.

$$ Shop $1$ Shop $2$ Stocks Remaining Warehouse $1$ Product $130$ Product $230$ Warehouse $2$ Product $190$ Product $290$ Needs Shop $1$ Shop $2$ Product $14540$ Product $25550$ Deliver$($Distribution of goods$)$ Cost of delivery $($for one unit$)$ Shop $1$ Shop $2$ Warehouse $112$ Warehouse $221$ Deliver$($Distribution of goods$)$ Quantity Shop $1$ Shop $2$ Warehouse $1$ Warehouse $2$ General transportation costs $$