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

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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.

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Definitions:

F-test

A statistical test used to compare either two variances or the variances of more than two groups at the same time.

Independent Samples Design

A research design in which different groups of participants are exposed to different treatments or conditions, and their outcomes are compared to inspect the effects of the treatment.

Randomized Block Design

An experimental design that groups subjects into blocks based on certain characteristics before randomly assigning treatments, to reduce the variability within treatment conditions.

Degrees of Freedom

The number of independent values in a calculation that are free to vary when estimating statistical parameters.

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