Linear Programming of Transportation and Shipment Problem
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I need some help with a network diagram and formulation of the linear programming model.
A company ships computers from factories to stores per week as follows:
Factory #1 produces 400 computers per week.
Factory #2 produces 200 computers per week.
Factory #3 produces 150 computers per week.
Store #1 needs 200 computers per week.
Store #2 needs 300 computers per week.
Store #3 needs 250 computers per week.
The shipping costs between factories and stores are as follows:
From Store #1 Store #2 Store #3
Factory #1 25.0 25.0 20.0
Factory #2 25.0 20.0 20.0
Factory #3 20.0 15.0 15.0
Please show me what the network diagram and linear programming model should look like to minimize the cost of transportation so I can compare it to what I have and check my work. Thank you.
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Solution Summary
A linear programming problem is solved. The solution is detailed and well presented.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "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."
- "excellent work"
- "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!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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