Problem 4

To Cost
From	1	2	3	Supply
A	$6	$9	$100	$130
B	12	3	5	70
C	4	8	11	100
Demand	80	110	60

Formulate this problem as a linear programming model and solve it by using the Computer.

Problem 36

World Foods, Inc., imports food products such as meats, cheeses, and pastries to the United States from warehouses at ports in Hamburg, Marseilles and Liverpool. Ships from these ports deliver the products to Norfolk, New York and Savannah, where they are stored in company warehouses before being shipped to distribution centers in Dallas, St. Louis and Chicago. The products are then distributed to specialty foods stores and sold through catalogs. The shipping costs ($/1,000 lb.) from the European ports to the U.S. cities and the available supplies (1000 lb.) at the European ports are provided in the following table:

US city
European Port	4. Norfolk	5. New York	6. Savannah	Supply
Hamburg	$420	$390	$610	$60
Marseilles	510	590	470	78
3 Liverpool	450	360	11	47

The transportation costs ($/1,000 lb.) from each U.S. city of the three distribution centers and the demands (1,000 lb.) at the distribution centers are as follows:

Warehouse	7. Dallas	8. St. Louis	9. Chicago
4.Norfolk	$75	$63	$81
5.New York	125	110	105
6.Savannah	68	82	95
Demand	60	50	50

Determine the optimal shipments between the European ports and the warehouses and the distribution centers to minimize total transportation costs.

Problem 52

A dispatcher for the Citywide Taxi Company has six taxicabs at different locations and five customers who have called for service. The mileage from each taxi’s present location to each customer is shown in the following table. Determine the optimal assignment(s) that will minimize the total mileage travelled.

Customer
Cab	1	2	3	4	5
A	$7	$2	$4	$10	7
B	5	1	5	6	6
C	8	7	6	5	5
D	2	5	3	4	5
E	3	3	5	8	4
F	6	2	4	3	4

 Determine the optimal assignment(s) that will minimize the total mileage travelled.