Linear Programming
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1) Explain the result if the simplex tableau is solved using a quotient other than the smallest non-nega five quotient.
2) Explain why a different slack variable must be used for each constraint when converting
constraints to linear equations.
3) When would the simplex method be used instead of the graphical method?
4) Each solution of a simplex tableau corresponds to
5) What happens if an indicator other than the most negative one is chosen to solve a simplex tableau?
6) A negative number in the rightmost column of a simplex tableau tells you that you have made what kind of error when pivoting?
7) No unique optimtum solution found from a simplex tableau corresponds to
8) You are given the following linear programming problem (P):
Minimize
subject to:
zx1+x2
?4xi +4x2s1
xl -3x2s2
xl O,x2O
1)
2)
3)
4)
5)
6)
7)
8)
The dual of (P) is (D). Which of the following statements are true? a. (P) has no feasible solution and the objective ftmction of (D) is unbounded. b. (D) has no feasible solution and the objective function of (P) is unbounded. Cl The objective functions of both (1') and (D) are unbounded.
d. Both (P) and(D) have optimal soJutions.
e. Neither (P) nor (D) has feasible solutions.
MULTIPLE CHOJCE.
Choose the one alternative that best completes the statement or answers the question.
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem.
9)
X1X2 X3 12
001
A)Maximumat9forxi 8,x2=2
C) Maximum at 32 for xz = 8, sj =2
B)Maximumat18forx2=8,x32
D) Maximum at 36 for x ? 2, si = 8
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Solution Summary
Linear programming problems are solved.
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."
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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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