Kelly Foods has two plants and ships canned vegetables to customers in four cities. The cost of shipping one case from a plant to a customer is given in the accompanying table. The

plant in Akron has a capacity of $3,500$ cases per week, and the Evansville plant can produce $4,100$ cases per week. Customer orders for the next week are as follows: Chicago: $1,100$

cases; Cincinnati: $2,000$ cases; Indianapolis: $2,500$ cases; Pittsburgh: $1,300$ cases. Find the minimum$-$cost shipping plan.

Click here to view the cost of shipping data.

Complete the table below to indicate the number of cases sent from each plant to each customer to minimize the cost, and then give the total cost.

$($Type integers or decimals. Do not round.$)$

Plant$/$Customer

Akron

Evansville

Chicago

Cincinnati

Indianapolis

Pittsburgh

Total cost $=$$