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Linear Programming : Simplex Method in Tableau Form

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The following problem is something that needs to be put into tableau iterations, but I'm not sure of my answers on it... I'm catching on slowly, but would like to have something to use to check my work... This is a homework problem, but the homework is graded on participation, not correctness in this distance learning class. So I'd like to have the correct answer available, since I need to create my own feedback loop to make sure I'm learning the material. Please help:

Here is the problem:
______________________________________________________

Solve the following linear program by hand using the simplex method:

Minimize 3 X1 + 4 X2 + 8 X3

Subject To: 4X1 + 2 X2 >= 12
4 X2 + 8 X3 >= 16
X1, X2, X3 >= 0

Show all tableau iterations
a. What is the optimal solution?
b. What is the optimal Value?

_____________________________________________________

I have the basic tableau form written down, with the variables across the top and the constraints placed in the table. But I need to have the right answer so I can check my work, and I'm very unsure of the calculations. Please help. Thank you.

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Solution Summary

A Linear Programming problem is solved using the Simplex Method in Tableau Form. The solution is detailed and well presented.

Solution provided by:
Changping Wang, MA
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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