3b) If a constraint is added to a linear program with maximization objective, its optimal objectivevalue will decrease (or stay the same). What happens to its dual optimal objective value? Pleasejustify your answer. 3d) Consider the LP relaxation of a pure binary optimization problem (i.e. all variables are binary).Can this LP have an unbounded optimal objective value? Please justify your answer.

If, in an optimal solution of a linear program, the value of the dualvariable (shadow price)…

3b) If a constraint is added to a linear program with maximization objective, its optimal objective value will decrease (or stay the same). What happens to its dual optimal objective value? Please justify your answer.

3b) If a constraint is added to a linear program with maximization objective, its optimal objective value will decrease (or stay the same). What happens to its dual optimal objective value? Please justify your answer.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 33E

See similar textbooks

Related questions

Q: A traffic control engineer reports that. 75% of the vehicles passing through a checkpoint are from…

A: Given that 75% of the vehicles passing through a check point are from within the state. So the…

Q: 3. Write a brief narrative of the main features of the data portrayed in the graph. 18.00 16.00…

Q: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that…

Q: Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy…

Q: Construct a 95% confidence interval for p for a random sample of size n = 225 yielded $ = .46 A. .49…

Q: Question: The p-value of a statistical test turns out to be about 2%. Which, if any, of the…

A: The p-value is the probability calculated to find evidence against the null hypo., assuming the null…

Q: Dwizeel and Satellite Component are musicians who travel to concerts around the world by flying a…

A: Given Benefit payment : 1,000,000 upon the first death of the two of them The future lifetime (in…

Q: Find the rejection region (

A: here use basic of hypothesis test

Q: question 10 The lengths of adult males' hands are normally distributed with mean 194 mm and…

A: Given that The lengths of adult males' hands are normally distributed with mean 194 mm and standard…

Q: Perform the indicated test of hypotheses, based on the information given. a. Test Ho: μ = 212 vs H₁…

A: Given that

Q: You may need to use the appropriate appendix table or technology to answer this question IQ scores…

A: The question is based on normal distribution. Given : IQ' scores are normally distributed Mean of IQ…

Q: (Use this information for questions 15 - 17). A researcher would like to determine if relaxation…

Q: (Use this data to answer questions 18-20). A psychologist would like to examine the effects of…

A: Given that Using excel single factor anova

Q: One prominent physician claims that 70% of those with lung cancer are chain smokers. If his…

Q: age re average Catholic in church on Sundays? The 56 randomly observed members of the Presbyterian…

Q: Which of the following are true?

A: here use basic of sampling distribution

Q: Find the 80% confidence intervals for the variance and standard deviation of the ages of seniors at…

Q: Suppose you are conducting the following hypothesis test for a population mean at significance level…

A: GivenH0:μ=60.1HA:μ<60.1sample size(n)=21Mean(x)=59standard deviation(s)=3.21significance…

Q: A simple random sample of 26 filtered 100-mm cigarettes is obtained from a normally distributed…

Q: what is the margin of error for the confidence interval for the mean 62 81

A: Assume that that µ is the population mean.

Q: Find the test statistic to for a sample with n=12, x=25.2, s=2.2, and α = 0.01 if Ho: μ=24. Round…

Q: A random sample of 85 supervisors revealed that they worked an average of 7.3 years before being…

A: Here USE basic of margin of error and sampling distribution

Q: You are an analysis for a hot chocolate company, and want to investigate how weekly product sales…

A: Test statistics for slope : t =b1SEb1 Where , b1 is slope SEb1 is standard error of slope. SEb1=…

Q: Suppose that you are taking a course that has four tests. The first three tests are each worth 20%…

Q: A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood…

A: Given: Patient Blood cholesterol (Before) Blood cholesterol (After) 1 205 196 2 220 217 3…

Q: A simple random sample of 42 men from a normally distributed population results in a standard…

Q: A set of data items is normally distributed with a mean of 30 and a standard deviation of 6. Convert…

Q: What is the approximate p-value related to the results of this test?

A: It is given that Sample size n = 360 Number of subjects experience side effects, X = 47

Q: An agent for a residential real estate company in a large city has the business objective of…

A: Given: Size Rent 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136…

Q: 1. A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: Determine the sample size required to estimate the mean score on a standardized test within 2 points…

A: Given,margin of error(E)=2standard deviation(s)=15α=1-0.98=0.02α2=0.01Z0.01=2.33 (from Z-table)

Q: Show your solution how did you get it .... thanks Metal conduits or hollow pipes are used in…

A: Given these data are obtained on the outside diameter (in inches) of the pipe:…

Q: Exercise: Given the monthly water consumption of family Y.What is the coefficient of skewness and…

A: The formula of coefficient of skewness for the sample data is defined by coef…

Q: You wish to estimate the average weight of a mouse. You obtain 10 mice, sampled uniformly at random…

A: Given data is 21,23,27,19,17,18,20,15,17,22sample size(n)=10Standard error(SE)=0.25

Q: Use StatCrunch with the vehicle counts to the right observed during a survey of a student parking…

Q: A state representative wishes to estimate the mean number of women representatives per state…

A: Observation: XX X^2X2 1 5 25 2 33 1089 3 35 1225 4 37 1369 5 24 576 6 31 961 7 16 256…

Q: You are a manager for a team of employees that uses a computer system as part of the process for…

A: Given that Sample sizes n1 =17 , n2=15 Degree of freedom =df =28

Q: 1 Determine the sampling technique used in each of the following: (a) A survey on dengue cases is to…

Q: A simple random sample of size n = 450 individuals who are currently employed is asked if they work…

A: The random variable X follows normal distribution. We have to construct 99% confidence interval for…

Q: (Use this information for questions 15-17). A researcher would like to determine if relaxation…

A: There are two dependent samples which are pre training score and post training score. We have to…

Q: 5. Consider that in 1915 that the population in the United States was 100 million. Suppose the…

A: Given In 1915, the population size=100 million In 1915, the growth rate=1 million people per year…

Q: During one shift, the express lane clerk recorded how many times customers violated the "10 items or…

Q: Determine the graph if its straight line graph, hyperbolic graph, or a parabolic graph. The data are…

A: From the given data, X Y XY X2 1 4.6 4.6 1 2 7.1 14.2 4 3 9.5 28.5 9 4 11.5 46…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

Q: use anova at 5% level of significance to determine who will be granted abc scholarship grade based…

Q: Determine the t-percentile that is required to construct each of the following one-sided confidence…

Q: 1. Stem and Leaf diagram 2. FDT 3. Graphs of the FDT 4. Descriptive narratives pertaining to 1, 2…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Data was collected for 40 randomly selected trees growing in the median strip of a busy freeway. The…

A: From the given histogram minimum possible tree height = ?

Q: Let X1 , X2 , … , Xn be uniformly distributed on the interval 0 to a. Recall that the maximum…

A: Please note that as per our guidelines we can answer the first three sub-parts only in a multiple…

Q: A college is studying whether there are differences in job satisfaction among faculty members from…

A: There are 3 independent samples which are Social Sciences, Natural Sciences and Humanities. We have…

Question

3b) If a constraint is added to a linear program with maximization objective, its optimal objective
value will decrease (or stay the same). What happens to its dual optimal objective value? Please
justify your answer.

3d) Consider the LP relaxation of a pure binary optimization problem (i.e. all variables are binary).
Can this LP have an unbounded optimal objective value? Please justify your answer.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here