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The following table provides shipping costs from each of two regional warehouses to each of three destinations

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The following table provides shipping costs from each of two regional warehouses to each of three destinations. The supplies available and the demands are also given in the table.
FROM TO
Houston New Orleans Atlanta Supply (units)
Dallas 6 7 9 200
Huntsville 8 7 6 200
DEMAND 200 250 200
Formulate this as a linear programming problem (Constraints and Objective Function only). Carefully define all decision variables.

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The solution discusses shipping costs from each of two regional warehouses to each of three destinations and provides linear programming.

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The following table provides shipping costs from each of two regional warehouses to each of three destinations. The supplies available and the demands are also given in the table.

FROM TO
Houston New Orleans Atlanta Supply (units)
Dallas 6 7 9 200
Huntsville 8 7 6 200
DEMAND 200 250 200

Formulate this as a linear programming problem (Constraints and Objective Function only). Carefully define all decision variables.
Solution. First of all, we define the following decision variables:
x1: ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
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  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
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  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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