Allied Manufacturing Has Three Factories Located in Dallas, Houston, and New

Allied Manufacturing has three factories located in Dallas, Houston, and New Orleans. They each produce the same product and ship to three regional warehouses: #1, #2, and #3. The cost of shipping one unit of each product to each of the three destinations is given below. There is no way to meet the demand for each warehouse. Therefore, the company has decided to set the following goals: (1) the number shipped from each source should be as close to 100 units as possible (overtime may be used if necessary), (2) the number shipped to each destination should be as close to the demand as possible, (3) the total cost should be close to $1,400. Formulate this as a goal programming problem.