Linear Programming : Using the Simplex Method to Minimize C
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In this problem I am trying to get rid of the artificial variable using the two phase method. However all of the rows either have negatives or zeros and my final answer keeps coming out to be a negative and none of the other answers plug into the constraints. The problem is
Using Simplex method minimize C:
C=15x1+12x2
Subject to 3x1+x2>18
x1+2x2<12
x1+x2=10
The numbers behind the x's are the sub numbers(x sub 1, x sub2, etc...)
The greater than and less than signs are also equal to(the 1st constraint is greater than or equal to)
My final answer for c = 144
Please help
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Solution Summary
The simplex method is employed to minimize a variable. The solution is detailed and well presented.
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I cant get rid of the artificial variable in this problem using two phase method
________________________________________
In this problem I am trying to get rid of the artificial variable using the two phase method. However all of the rows either have negatives or zeros and my final answer keeps coming out to be a negative and none of the other answers plug into the constraints. The problem is
Using Simplex method minimize C:
C=15x1+12x2
Subject to 3x1+x2>18
x1+2x2<12
x1+x2=10
The numbers behind the x's are the sub numbers(x sub 1, x sub2, etc...)
The greater than and less than signs are also equal to(the 1st constraint is greater than or equal to)
My final answer for c = 144
Please help
Optimal Solution: C= 144; x 1= 8, x2= ...
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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