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Interpreting LINDO Output in Linear Optimization

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Based on the attached file, please anwer:

a. Give the complete optimal solution
b. What constraints are binding?
c. What is the dual price for the second constraint?
d. Over what range can the objective function coefficient X2 vary before a new solution point becomes optimal?
e. What would happen if the first constraint's right-hand-side increased by 700 and the second's by 350?

The attached file (.JPG) format is a study question that is used as a "Do it on your own" type of exercise. I'm learning how to use the LINDO software right now.
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The answers I came up with were as follows:
a. 25(140)+30(0)+15(80)=3500+0+1200=4700
b. not sure-- how can I tell?
c. 2.333333
d. Can increase by 10 or decrease by any amount.
e. Same solution would apply since the allowable increase for X1 is 2800 and for X2 is 1199.999878 before a new solution is required.

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Solution Summary

LINDO Output is interpreted.

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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