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

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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. 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. 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.


Definitions:

Note Receivable

A financial asset representing a promise for future receipt of cash, often from loans or credit extended to others.

Factor

An element or condition that actively contributes to the production of a result, often used in the context of mathematics or economic analysis.

Accounts Receivable

The amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for.

Credit Card Expense

Expenses incurred by using a credit card, typically involving interest charges and other fees.

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