Show that if we allow linear programs to have strict inequalities, then there exists a linear program

Question:

Show that if we allow linear programs to have strict inequalities, then there exists a linear program which is neither infeasible nor unbounded, but nevertheless does not have an optimal solution with finite objective value.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Algorithm Design And Applications

ISBN: 9781118335918

1st Edition

Authors: Michael T. Goodrich, Roberto Tamassia

See More Books

Question Posted: Aug 11, 2020 01:51 AM

See More Questions

Suppose that we allow strict inequalities in a linear program. Show that in this case, the fundamental theorem of linear programming does not hold.
Given a set of m linear inequalities on n variables x 1, x 2, . . . ,x n , the linearin equality feasibility problem asks whether there is a setting of the variables that simultaneously satisfies...
Let G = (V, E) be a directed graph with weight function w : E R, and let n = |V|. We define the mean weight of a cycle c = e 1 , e 2 , . . . , e k of edges in E to be Let * = min c (c), where c...
One joule of work is done on a system, raising its temperature by one degree centigrade. Can this increase in temperature be harnessed to do one joule of work? Explain.
The plane frame below consists of column AB and beam BC which carries a triangular distributed load. Support A is fixed and there is a roller support at C. Column AB has a moment release just below...
A MPV has seven passenger seats one in the front, and three in each of the other two rows. a. In how many ways can all 8 seats be filled from a party of 12 people, assuming that they can all drive?...
The probabilities that a quality control team will visit $0,1,2,3$, or 4 production sites on a single day are 0.15,0.22,0.35,0.21, and 0.07. (a) Simulate the inspection team's visits on 30 days....
The cost of goods sold computations for Target Company and Caesar Company are shown below. Instructions(a) Compute inventory turnover and days in inventory for each company.(b) Which company moves...
How do Lean Management principles integrate with other organizational frameworks, such as Total Quality Management (TQM) and Agile methodologies, to create synergistic approaches for achieving...
A taxpayer sold a piece of real property in year 1. The amount of year 1 real property taxes was estimated at the closing of the sale and the amounts were allocated between the buyer and the...
Suppose you are part of a trade expedition and there are 15 people in your party (including yourself). Your final destination lies across the desert, and so you must hire out camels to carry all of...
Give a set of linear programming constraints that result in the feasible region shown in Figure 26.9. Figure 26.9. y (3, 9) (0, 9) (8, 6) (8, 0) Figure 26.9: A feasible region.
For perfect gases, at what temperature do we arbitrarily assign $u=0$ and $h=0$ ?
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. The hearings conducted by administrative agencies customarily include trial by jury.
Answer the f ollowing q uestions a nd d iscuss t hem i n c lass. What are some typical misdemeanors common to most jurisdictions?
Statutory legal age. a. abandonment b. age of majority c. contractual c apacity d. competent pa rty e. disaffi rmance f. emancipation g. incompetency h. minor i. necessaries j. ratifi cation
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. There is little similarity between government and the operation of administrative a gencies.
The payoff matrices in Figure 2 at the top of the next column show the payoffs for two games. The payoffs are given in parentheses. The values on the left refer to the payoff to A; the values on the...
Archer Daniels Midland Company is considering buying a new farm that it plans to operate for 10 years. The farm will require an initial investment of $12.10 million. This investment will consist of...
Cobb Manufacturing Company uses a process cost system and average costing. The following production data is for the month of June 2011. Production Costs Work in process, beginning of the month:...
Consider the implementation of CircularlyLinkedList.addFirst, in Code Fragment 3.16. The else body at lines 39 and 40 of that method relies on a locally declared variable, newest. Redesign that...
Isabel has an interesting way of summing up the values in an array A of n integers, where n is a power of two. She creates an array B of half the size of A and sets B[i] = A[2i]+ A[2i+ 1], for i =...
Suppose you are given an array, A, containing n distinct integers that are listed in increasing order. Given a number k, describe a recursive algorithm to find two integers in A that sum to k, if...
You invest 50% of your financial assets in the Vanguard Total Stock Market ETF (VTI) and 50% in the Vanguard Total Bond Market ETF (BND). VTI has an expected return of 8% and a standard deviation of...
You have found the car you would like to purchase. The negotiated price = $57,500 and you are taking out a loan with a 7.5% APR compounded monthly for 6 years. What are your monthly payments? Car...
Suppose a male member currently aged 35, entered service at his age of 25, has a current salary of $75, 000 and total past salary of $650, 000. Assume that salaries increase at the beginning of each...

Show that if we allow linear programs to have strict inequalities, then there exists a linear program

Question:

Step by Step Answer:

Here is an example of an LP with strict inequalities that is f...View the full answer

Algorithm Design And Applications

Students also viewed these Computer science questions