A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and profits per case from each port to each customer are as follows:

Port

Customers

Port Supply

Atlanta

Dallas

Columbus

Boston

Philadelphia

$3$

$5$

$6$

$2$

$5000$

New Orleans

$2$

$2$

$5$

$7$

$3000$

Demand

$1400$

$3200$

$2000$

$1400$

The company wants to determine the shipping plan that will maximize the total profit.

How many cases will be shipped from Philadelphia to Dallas?

How many cases will be shipped from New Orleans to Dallas?

How many cases will be shipped from Philadelphia to Columbus?

What is the total shipping profit?

How many cases will be shipped from New Orleans to Atlanta?