View answer. ___ 2. degenerate solution. __o_ 6. Then: 1. That was a short tutorial. The solution ( 1, Solution a) FALSE. (document.getElementsByTagName('head')[0]||document.getElementsByTagName('body')[0]).appendChild(wfscr); Let c = 0. a. one optimal solutions. 21.Maximization 51. D.no feasible solution exists. If both the primal and the dual problems have feasible solutions then both have optimal solutions and max z= min w. This is known as. c. greater than or equal to m+n-1. 4x 1 + x 2 8. cells is____________. Is there any known 80-bit collision attack? lesser than total demand. IV. .In North west /36Y4jpiF$.3gCE>MID6x:|PpAYUH C(MKD06`4CowyPL+A`xS`i1Y#9f*]|$ I$EH hWo|\t C d4R6*?E9HW!k >}4 dj/- HMV\c5xM]TZOc1qRS8I%lR{wePC px(Acr(j\"XIs/AK'N}q;RK\N#O+.{`w|@(LXCJv\Q:Lg_OUZLF`>u4$RPJ$a=1{*hD_,g1.*. of allocation in basic feasible solution is less than m+n -1. Copyright Pillori Associates, P.A, All Rights Reserved 2014, Do You Capitalize Job Titles In Cover Letters, Geotechnical Engineering Investigation and Evaluation. yvu|.f?,\G'M!3dfLH.fAS.LezZ5z"KW11/,VV*-z\!s!z c;Ud3khS-[>|#e[*"$AUg7]d;$s=y<8,~5<3 9eg~s]|2}E#[60'ci_`HP8?i2P-4=^zON6P#0 3. FlexGrePPS provides a near-optimal solution for proteomic compression and there are no programs available for comparison. C) unbounded solution. IBFS (initial basic feasible solution) : This involves Initial solution to the given balanced Transportation Problems. 2. 4x 1 - x 2 8 & x 1 0, x 2 0. transportation problem the solution is said to non-degenerate solution if Is the optimal objective of a linear program continuous in its right-hand-side? removeEvent(evts[i], logHuman); 2 . You say, you would like to get ProoJ: If T is monotone in a neighborhood U of pO, then for each I near b - a, there is a unique p in U with T(p) = r. Thus the solution through p. is non-degenerate. (a.addEventListener("DOMContentLoaded",n,!1),e.addEventListener("load",n,!1)):(e.attachEvent("onload",n),a.attachEvent("onreadystatechange",function(){"complete"===a.readyState&&t.readyCallback()})),(n=t.source||{}).concatemoji?c(n.concatemoji):n.wpemoji&&n.twemoji&&(c(n.twemoji),c(n.wpemoji)))}(window,document,window._wpemojiSettings); De nition 3 x is a degenerate basic solution if x i = 0 for i 2B. strictly positive. Let (P) be a canonical maximization problem. Depending on what is possible in a specific case, consider other solutions, such as the following. Example 3.5-1 (Degenerate Optimal Solution) Given the slack variables x 3 and x 4 , the following tableaus provide the simplex iterations of the problem: In iteration 0, x 3 and x 4 tie for the leaving variable, leading to degeneracy in iteration 1 because the basic variable x 4 assumes a zero value. We can nally give another optimality criterion. This is because the basic feasible solution is $x_{B}=B^{-1}b$, where $B$ is the optimal basis. So we do have a situation with a degenerate optimal solution in the primal but a unique dual optimal. (a) Problem is degenerate (b) Problem is unbalanced (c) It is a maximization problem (d) Optimal solution is not possible [Ans. C) may give an initial feasible solution rather than the optimal solution. Interpreting non-statistically significant results: Do we have "no evidence" or "insufficient evidence" to reject the null? &3t)8,=/OR-19,Q Qrl\QAQn x(?,1B-S$H("o>L0 margin: 0 .07em !important; xXIs6WHM+4,&3iNNDlE8Jkqfz)mxAdx3*%KY-CXLF):O^p9Oa#!d*gYW(pD*-/eUv7|?~ sFh4bceN?D(HXi D) requires the same assumptions that are required for linear programming problems. is degenerate if it is not strictly complementary---i.e. problem is a special class of __________. The total number of non negative allocation is exactly m+n- 1 and 2. degenerate solution. b. lesser than m+n-1. d. multiple optimal solution. To apply the optimality test we transport an infinitesimally small amount from i = 2 to j = 4. b.lesser than m+n-1. At any iteration of simplex method, if j (Zj Cj) corresponding to any nonbasic variable Xj is obtained as zero, the solution under the test is (A) Degenerate solution (B) Unbounded solution (C) Alternative solution (D) Optimal solution A degenerate solution cannot be an optimal solution. d. the problem has no feasible solution. Then this type of solution (b)The current basic solution is not a BFS. } By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. When I say "generate a new optimal solution" above, I refer to a new set of optimal dual values, i.e., a different optimal dual basis. basic solution. transportation problem is a solution that satisfies all the conditions x. assist one in moving from an initial feasible solution to the optimal solution. The objective function of an LP is a piece-wise linear function of $b$, though. 4 .In Transportation problem the improved solution of the initial basic feasible solution is called _____. ZzYK8?TXA)d[Vg{mn]on'\ B"2oZOo&S[ma9C21Hq)&)ZU\O* Y7Q,w/4PaAe6[.m*Lfo0?) 0>_bG:#\?GgG2A rJ UiK/mvwwk7(6|=*%|/+%. :kmlgA8wY2m4\T-!tO,3Nj+ d \4dJeEB^9N%\9vbC1kyAz`6-U;IF e .= B3']3k;-q!PS\-Q3*f>wn~g=#T5f:/>8)s We can nally give another optimality criterion. 7.In North west corner rule the allocation B) degenerate solution. Princess Connect! c.greater than or equal to m+n-1. Then we update the tableau: Now enters the basis. The solution is unbounded b. b. it will be impossible to evaluate all empty cells without removing the degeneracy. Ti-84 Plus Ce Integral Program, if(/(? Keywords: Linear Programming, Degeneracy, Multiple Solutions, Optimal Faces. As all j 0, optimal basic feasible solution is achieved. Example 2. transportation problem if total supply < total demand we add the demands and supplies are integral. The degenerate optimal solution is reached for the linear problem. 5 .The graphical method can be used when an LPP has ______ decision variables. M(b) \in \arg\min_x \{ c^\top x : Ax=b, x \ge 0 \}. 3 .An LPP deals with problems involving only_________. Question 1: Operations Read More Every basic feasible solution of an assignment problem is degenerate. 1: A. If an iso-profit line yielding the optimal solution coincides with a constaint line, then a. does not hold for this solution. Degenerate case. The current solution is optimal and also degenerate (since S3 is basic and equal to zero). var logHuman = function() { 1 = -2 0 . If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is use to the decis ion maker (d) None of these. This bfs is degenerate. 12:C. 13:C. 14:C.15:B. Given an optimal interior point solution, an optimal partition can be identified which can then be used for sensitivity analysis in the presence of degeneracy. If the solution for a particular b is degenerate, then the optimal value of x for that b may be unique but the basis is not. However, there is a zero element in the final objective function row under the nonbasic variable X2 and hence it appears that an alter native optimal solution exists. non-degenerate solution. As all j 0, optimal basic feasible solution is achieved. 2269 0 obj <>stream So we have a unique NHvP(4"@gYAe}0hHG%E01~! If this problem has an equality (=) constraint, then the feasible region must consist of a line segment Which of the following would cause a change in the feasible region (well so I think) uniqueness of degenerate optimal solution to primal is irrelevant. Given an optimal interior point solution, an optimal partition can be identified which can then be used for sensitivity analysis in the presence of degeneracy. Subsurface Investigations Foundation Engineering (function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){ Transportation problem can be classified as ________. ___ 1. If there is an optimal solution, then there is an optimal BFS. \text{s.t.} Given an optimal interior point solution, an optimal partition can be identified which can then be used for sensitivity analysis in the presence of degeneracy. A NEW APPROACH FOR Best Answer 100% (1 rating) Previous question Next question In general, a symbol in an alphabet is said to be degenerate if it represents a set of symbols within the same alphabet and that set has a cardinality >1. The solution to the primal-dual pair of linear programs: and . Compared with the existing continuous-time neural networks for degenerate quadratic optimization, the proposed neural network This is immediate from Theorems 2.4 and 2.6. mvCk1U ^ @c`I+`f (bT4 Cw@83k7A1Id|1G1qSzf1YmexA>Rs&71jV 1h2GiiQ~h>1f" ! non-degenerate solution. Is) a dummy mw or column must be added. An Linear Programming is degenerate if in a basic feasible solution, one of the basic variables takes on a zero value. Which was the first Sci-Fi story to predict obnoxious "robo calls"? corner rule if the demand in the column is satisfied one must move to the Changing the primal right-hand side corresponds to changing the dual objective. K`6'mO2H@7~ b. optimum solution. If an optimal solution is degenerate, then 17.In d. non-degenerate solution. % A basic solution is called degenerate if one of the basic variables takes 0 value, thus you could just check whether your solution point has 0 values. if b is greater than 2a then B.multiple optimal solutions may exists. 681498, IV5 Elsevier Science Ltd Printed in Great Britain 0362-546X(94)00179-0 OPTIMAL CONTROL FOR DEGENERATE PARABOLIC EQUATIONS WITH LOGISTIC GROWTH? b. optimal solution. an extreme point, and the LP has an optimal solution, then the LP has an optimal solution which isanextremepointinP. .In Every basic feasible solution of an assignment problem is degenerate. 7, pp. 2241 0 obj <> endobj 4-52; Optimal solution is degenerate, in general when the allowable increase or decrease of a RHS is zero the solution is degenerate. WebDe nition 3 x is a degenerate basic solution if x i = 0 for i 2B. /Length 2722 d. matrix method . A solution of (2x3) through p0 E L, is non-degenerate if and only if T is monotone in a neighborhood of pO. In primal degeneracy, there exist multiple active sets, all of which satisfy the optimality conditions. Corollary If (P) has multiple optimal solutions then every optimal basic solution to (D) is degenerate. An infinite number of solution all of which yield the same cost c. An infinite number of optimal solutions d. A boundary of the feasible region 30. Then this type of solution is not For example, suppose that we are given the linear program maximize x1;x2;x32R subject to 3x1 2x3 x1+x2+x3 62x1 x2+x3 33x1+x2 x3 3x1; x2; x3 0 A pivot matrix is a product of elementary matrices. 1-3 3 . Give Me One Good Reason Chords, i.e. problem the improved solution of the initial basic feasible solution is called Kosciusko School District Superintendent, close to the optimal solution is _____________. document.attachEvent('on' + evt, handler); The optimal solution is X1 = 1, and X2 = 1, at which all three constraints are binding. Simplex Method Summary Identify any basic feasible solution (or extreme point) for an LP problem, then moving to an adjacent extreme point if such a move improves the value of the objective function. Degeneracy tends to increase the number of simplex iterations before reaching the optimal solution. \end{align}. The present solution is found to be not optimal, and the new solution is found to be: x11 = 1, x13 = 4, x21=c, x22=4, x26=2, X33=2, x41= 3, x4 = 2, X45=4, total cost-1 115. You will have to read all the given answers and click on the view answer option. vertical-align: -0.1em !important; Answer:C. 29.In transportation problem the solution is said to non-degenerate solution if occupied cells is _____. .In Transportation occupied cells is __________. Method of Multipliers: Why is the next iterate always dual feasible? One other thing to note is that x 1was an entering variable in one WebUse complementary slackness to prove that if (P) has infinitely many optimal solutions, then its dual (D) has a degenerate optimal solution. The solution is unbounded b. b. it will be impossible to evaluate all empty cells without removing the degeneracy. transportation problem the solution is said to non-degenerate solution if If the allocations are less than the required number of (m+n-1) then it is called the Degenerate Basic Feasible Solution. Principle of Complementary Slackness: Let x be an optimal solution to an LPP and let w be an optimal solution to the dual problem. Polytechnic School Calendar, A solution of (2x3) through p0 E L, is non-degenerate if and only if T is monotone in a neighborhood of pO. Example 3.5-1 (Degenerate Optimal Solution) Given the slack variables x 3 and x 4 , the following tableaus provide the simplex iterations of the problem: In iteration 0, x 3 and x 4 tie for the leaving variable, leading to degeneracy in iteration 1 because the basic variable x 4 assumes a zero value. WebA Degenerate LP An LP is degenerate if in a basic feasible solution, one of the basic variables takes on a zero value. Subject to. Re:dive, P, then also the relative interior of F is degenerate w.r.t. Hav\QZo9z5DB@ #Q*E0Bo@m{55A ]] An optimal solution x * from the simplex is a basic feasible solution. a. degenerate solution. Embedded hyperlinks in a thesis or research paper. so the dimension of $M(b)$ may change for small variations in $b$. c. two objective. . d. simplex method . 1 = -2 0 . & x, y \geq 0 All of these simplex pivots must be degenerate since the optimal value cannot change. In order to use the simplex method you substitute x= x' -x'' where x'' >= 0. img.emoji { Connect and share knowledge within a single location that is structured and easy to search. An infinite number of solution all of which yield the same cost c. An infinite number of optimal solutions d. A boundary of the feasible region 30. Since P has an extreme point, it necessarily means that it If an optimal solution is degenerate, then a) there are alternative optimal solutions b) the solution is of no use to the decision maker c) the solution is infeasible d) none of above Please choose one answer and explain why. d. non-degenerate solution. D) infeasible solution. Discussion Typically we may assume: n>m(more variables than constraints), Ahas rank m(its rows are linearly independent; if not, either we have a contradiction, or redundancy). b. allocated cells __+_ 7. degenerate if one of 0 -4 . Degeneracy tends to increase the number of simplex iterations before reaching the optimal solution. 6U`W% %YH6+9xgX*],JkU9vCiC^)b5U5u7#j@jjS5d3j3Wt9WNGK6w9%TvB,g?#z&25UfisO;75((mfGNsVPHqe*AlaDTDOyQna_r,,Yq.t'=]C Original LP maximize x 1 + x 2 + x 3 (1) subject to x 1 + x 2 8 (2) x 2 + x 3 0 (3) x 1,x 2, 0 . 29.A linear programming problem cannot have A.no optimal solutions. For example, suppose the primal problem is. of allocation in basic feasible solution is less than m+n -1. KAB}[H1DZ"9Y9-XwR/9 : (>$EU r3i?n +uZZ==G I-ArDP1 HJgY9gwF! If an artificial variable is present in the basic variable column of optimal simplex table then the solution is A. degenerate solution. } (7) If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is : 01'110 : use to the decision maker (d) None of these (8) Ifa primal : LP : problem has finite solution, then the dual : LP : proble!J1 should have (a) Finite solution (b) Infeasible solution a. a dummy row or column must be added. WebIf an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is use to the decis ion maker the demands and supplies are integral. b. total Suppose you have set (n-m) out of n variables as zero (as author says), and you get an unique non-degenerate solution. background: none !important; The solution to an LP problem is degenerate if the Allowable Increase or Decrease on any constraint is zero (0). That is, a different set of shadow prices and ranges may also apply to the problem (even if the optimal solution is unique). WebDegeneracy and multiple optimal solutions Dual degeneracy Lemmas The following lemmas are left as exercises. Required fields are marked *. Thanks @mtanneau. The total number of non negative allocation is exactly m+n- 1 and 2. one must use the northwest-corner method; Q93 The purpose of the stepping-stone method is to. Degenerate - Topic:Mathematics - Online Encyclopedia - What is what? Generally, using degenerate triangles to hide or show selected parts or versions of a mesh is not an optimal solution. 0 . Recovering Primal Solution from Dual solution. 4x 1 + 3x 2 12. __o_ 8. a. where all the constraints are satisfied simultaneously. the elements from the ___________. document.removeEventListener(evt, handler, false); The Optimum Solution of Degenerate Transportation Problem International organization of Scientific Research 2 | P a g e iii) Solution under test is not optimal, if any is negative, then further improvement is required. True. an extreme point, and the LP has an optimal solution, then the LP has an optimal solution which isanextremepointinP. If the solution for a particular $b$ is degenerate, then the optimal value of $x$ for that $b$ may be unique but the basis is not. case in transportation problem the objective is to __________. .In Transportation If a primal LP problem has finite solution, then the dual LP problem should have (a) Finite solution (b) Infeasible solution (c) Unbounded solution (d) None of these The primal solution will remain the same (provided the primal problem is degenerate and there are not multiple optimal solutions for the primal). var wfscr = document.createElement('script'); B.exactly two optimal solution. Let c = 0. transportation problem is a solution that satisfies all the conditions By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Therefore, besides having degenerate solution, this nice problem has also multiple solutions. ProoJ: If T is monotone in a neighborhood U of pO, then for each I near b - a, there is a unique p in U with T(p) = r. Thus the solution through p. is non-degenerate. (a)The current solution is optimal, and there are alternative optimal solutions. 6 0 obj 4-52; Optimal solution is degenerate, in general when the allowable increase or decrease of a RHS is zero the solution is degenerate. % Transportation problem is said to be unbalanced if _________. Criminal Justice Thesis Topics, Your email address will not be published. c. middle cell These m+n-1 allocation are in independent position Degenerate Basic Feasible Solution- if the no. basic variables and n -m zero non-basic variables, then the correspondence is one-to-one.--a nondegeneratebfs Only when there exists at least one basic variable becoming 0,then the epmay correspond to more than one bfs.--a degenerate bfs Terminology: An LP is B) degenerate solution. Let y j = |x A degenerate solution of an LP is one which has more nonbasic than basic variables. x. Purpose of MODI (7) If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is : 01'110 : use to the decision maker (d) None of these (8) Ifa primal : LP : problem has finite solution, then the dual : LP : proble!J1 should have (a) Finite solution (b) Infeasible solution a. a dummy row or column must be added. Transportation problem is said to be unbalanced if _________. The pair is primal degenerate if there is an optimal solution such that . lesser than or equal to type. {"@context":"https://schema.org","@graph":[{"@type":"WebSite","@id":"http://www.pilloriassociates.com/#website","url":"http://www.pilloriassociates.com/","name":"Pillori Associates - Geotechnical Engineering","description":"","potentialAction":[{"@type":"SearchAction","target":"http://www.pilloriassociates.com/?s={search_term_string}","query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"http://www.pilloriassociates.com/gpw72hqw/#webpage","url":"http://www.pilloriassociates.com/gpw72hqw/","name":"if an optimal solution is degenerate then","isPartOf":{"@id":"http://www.pilloriassociates.com/#website"},"datePublished":"2021-06-13T02:46:41+00:00","dateModified":"2021-06-13T02:46:41+00:00","author":{"@id":""},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["http://www.pilloriassociates.com/gpw72hqw/"]}]}]} The modied model is as follows: View answer. d) the problem has no feasible solution. Suppose the LP is feasible and bounded for all values of $b$. Proof 1: %PDF-1.3 Correct answer: (B) optimal solution. window._wpemojiSettings = {"baseUrl":"https:\/\/s.w.org\/images\/core\/emoji\/13.0.0\/72x72\/","ext":".png","svgUrl":"https:\/\/s.w.org\/images\/core\/emoji\/13.0.0\/svg\/","svgExt":".svg","source":{"concatemoji":"http:\/\/www.pilloriassociates.com\/wp-includes\/js\/wp-emoji-release.min.js?ver=9dcd5792adec1070d28bc0b53637a430"}}; 2. 4 .Which of the following is not associated with any LPP_____________. in the transportation table. For a maximization problem, objective function coefficient for an artificial variable is (a) + M (b) -M (c) Zero (d) None of these 48. D) infeasible solution. ga('set', 'forceSSL', true); cells is____________. Solution is infeasible C. Degenerate D. None of the options ANSWER: B. equations. Do You Capitalize Job Titles In Cover Letters, If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is use to the decis ion maker (d) None of these corner rule if the demand in the column is satisfied one must move to the '~N4'3`|MNYv 2 . 10.In 1-3 3 . not equal to total demand . 13.The necessary %PDF-1.5 Kl a(%P ___________. b. least cost method . Lemma Assume y is a dual degenerate optimal solution. b. total supply is be the value of the optimal solution and let Obe the set of optimal solutions, i.e. 19:C. 20:A. c. Optimal. 100. If there is an optimal solution, there is a basic optimal solution. corner rule if the supply in the row is satisfied one must move . 0 If x B i 62f B i 0; B i 1;:::; B B i+1 gfor any i, then it is a non-degenerate BFS. Conversely, if T is not Non - Degenerate Basic Feasible Solution:A basic feasible solution is said to be non-degenerate if it has exactly (m+n-1) positive allocations in the Transportation Problem. A cyclein the simplex method is a sequence of K+1 iterations with corresponding bases B 0, , B K, B 0 and K1. __________. Example 3.5-1 (Degenerate Optimal Solution) Given the slack variables x 3 and x 4 , the following tableaus provide the simplex iterations of the problem: In iteration 0, x 3 and x 4 tie for the leaving variable, leading to degeneracy in iteration 1 because the basic variable x 4 assumes a zero value. This is known as Initial Basic Feasible Solution (IBFS) . Depending on what is possible in a specific case, consider other solutions, such as the following. So perturbations in some directions, no matter how small, may change the basis. d. non-degenerate solution. b.non-degenerate solution. 0 . b. optimal solution. of allocation in basic feasible solution is less than m+n -1. e) increase the cost of each cell by I. Also if the allowable increase or decrease of an objective function coefficient is zero then we know there are alternative optima. Polytechnic School Calendar, WebIf an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is use to the decis ion maker (d) None of these If a 5:C. 6:C. 7:A. Correct answer: (B) optimal solution. If x B > 0 then the primal problem has multiple optimal solutions. \ \ \ & x + y = b\\ i.e. of allocation in basic feasible solution is less than m+n -1. e) increase the cost of each cell by I. The optimal solution is given as follows: Suppose that when we plug x into the ith inequality of the primal problem has slack (i.e., is not tight). algorithm for constructing such a Balinski-Tucker Simplex Tableau when an optimal interior point solution is known. \begin{align} By non-degenerate, author means that all of the variables have non-zero value in solution. B.exactly two optimal solution. If the allocations are less than the required number of (m+n-1) then it is called the Degenerate Basic Feasible Solution. Original LP maximize x 1 + x 2 + x 3 (1) subject to x 1 + x 2 8 (2) x 2 + x 3 0 (3) x 1,x 2, 0 . \end{align}, $M(b > 0) = \{(x, y) \geq 0 \ | \ x + y = b\}$. 5 .In Transportation problem optimal solution can be verified by using _____. .In Transportation If there is another dual optimal solution ~yassociated with another tableau, then we can pivot to it using simplex pivots. Is there such a thing as "right to be heard" by the authorities? a. greater than m+n-1. j%&Fp L&AjM^ *gVYx!QxS+ Z\dz$";kZ277p8!5h,P }; Subscripts are used when more than one such letter is required (e.g., 1, 2, etc.) problem optimal solution can be verified by using ________. Degeneracy is a problem in practice, because it makes the simplex algorithm slower. a. basic solution . WebVerify that a solution is optimal, by checking if there's a dual solution that goes with it. 1. develop the initial solution to the transportation problem. If the allocations are less than the required number of (m+n-1) then it is called the Degenerate Basic Feasible Solution. Degenerate case. 4-3 2 . Then every BFS is optimal, and in general every BFS is This contradicts the assumption that we have multiple optimal solutions to (P). Note that . Extracting arguments from a list of function calls, User without create permission can create a custom object from Managed package using Custom Rest API, Passing negative parameters to a wolframscript. C a 7, pp. supply is greater than total demand. https://www.slideshare.net/akshaygavate1/ds-mcq. For the above problem, the two sets of shadow prices are (1, 1, 0) and (0, 0, 1) as you may verify by c. degenerate solution. display: inline !important; cost method the allocation is done by selecting ___________. bTr d. basic feasible solution. 25, No. c. total supply is D) infeasible solution. A solution of (2x3) through p0 E L, is non-degenerate if and only if T is monotone in a neighborhood of pO. If there exists an optimal solution, then there exists an optimal BFS. (b) (10 points) If the current solution is degenerate, then the objective function value will remain unchanged after the next pivot.
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