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Recent questions tagged linearprogramming
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1
UGCNETJuly2018II83
The following LLP $\text{Maximize } z=100x_1 +2x_2+5x_3$ Subject to $14x_1+x_26x_33+3x_4=7$ $32x_1+x_212x_3 \leq 10$ $3x_1x_2x_3 \leq 0$ $x_1, x_2, x_3, x_4 \geq 0$ has Solution : $x_1=100, \: x_2=0, \: x_3=0$ Unbounded solution No solution Solution : $x_1=50, \: x_2=70, \: x_3=60$
asked
Jul 13, 2018
in
Others
by
Pooja Khatri
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10.8k
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494
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ugcnetjuly2018ii
llp
linearprogramming
0
votes
0
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2
GATE198817iiiiii
The following table gives the cost of transporting one tonne of goods from the origins A, B, C to the destinations F, G, H. Also shown are the availabilities of the goods at the origins and the requirements at the destinations. The transportation problem ... i). For the solution of (ii) above, calculate the values of the duals and determine whether this is an optimal solution.
asked
Dec 20, 2016
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by
jothee
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104k
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gate1988
nongate
descriptive
linearprogramming
+1
vote
0
answers
3
GATE19882i
If the transportation problem is solved using some version of the simplex algorithm, under what condition will the solution always have integer values?
asked
Dec 11, 2016
in
Others
by
jothee
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104k
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99
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gate1988
linearprogramming
descriptive
outofsyllabusnow
+1
vote
0
answers
4
GATE19901ix
Fill in the blanks: The solution to the following linear program $\max$ $X_{1}$ such that $X_{1}+2X_{2} \leq 10$ $X_{1} \leq 8$ $X_{1} \leq 1$ is ____________.
asked
Nov 19, 2016
in
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by
makhdoom ghaya
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29.9k
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115
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gate1990
descriptive
linearprogramming
nongate
+2
votes
1
answer
5
UGCNETAUG2016III63
Consider the following statements : (a) Assignment problem can be used to minimize the cost. (b) Assignment problem is a special case of transportation problem. (c) Assignment problem requires that only one activity be assigned to each resource. Which of the following options is correct ? (a) and (b) only (a) and (c) only (b) and (c) only (a), (b) and (c)
asked
Oct 4, 2016
in
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by
makhdoom ghaya
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29.9k
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434
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ugcnetaug2016iii
linearprogramming
transportationproblem
+1
vote
1
answer
6
UGCNETAUG2016III62
Consider the following statements : (a) If primal (dual) problem has a finite optimal solution, then its dual (primal) problem has a finite optimal solution. (b) If primal (dual) problem has an unbounded optimum solution, then its dual (primal) has no feasible solution at all. (c) Both primal ... is correct ? (a) and (b) only (a) and (c) only (b) and (c) only (a), (b) and (c)
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Oct 4, 2016
in
Others
by
makhdoom ghaya
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29.9k
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267
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ugcnetaug2016iii
linearprogramming
duality
+2
votes
1
answer
7
UGCNETAUG2016III61
Consider the following linear programming problem : $\max. z = 0.50 x_{2} – 0.10x_{1}$ Subject to the constraints $2x_{1} + 5x_{2} \leq 80$ $x_{1} + x_{2} \leq 20$ and $x_{1}, x_{2} \geq 0$ The total maximum profit $(z)$ for the above problem is : $6$ $8$ $10$ $12$
asked
Oct 4, 2016
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by
makhdoom ghaya
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29.9k
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574
views
ugcnetaug2016iii
linearprogramming
+3
votes
1
answer
8
UGCNETJune2016III61
The region of feasible solution of a linear programminig problem has a ____ property in geometry, provided the feasible solution of the problem exists concavity convexity quadratic polyhedron
asked
Aug 21, 2016
in
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by
jothee
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104k
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892
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ugcnetjune2016iii
operationresearch
linearprogramming
+1
vote
1
answer
9
UGCNETDec2015III52
A basic feasible solution of a linear programming problem is said to be ______ if at least one of the basic variable is zero generate degenerate infeasible unbounded
asked
Aug 11, 2016
in
Others
by
jothee
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(
104k
points)

1k
views
ugcnetdec2015iii
operationresearch
linearprogramming
+1
vote
1
answer
10
UGCNETDec2014III67
If an artificial variable is present in the ‘basic variable’ column of optimal simplex table, then the solution is Optimum Infeasible Unbounded Degenerate
asked
Aug 2, 2016
in
Others
by
makhdoom ghaya
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29.9k
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1.1k
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ugcnetdec2014iii
linearprogramming
simplexmethod
+2
votes
1
answer
11
UGCNETJune2015III69
Given the following statements with respect to linear programming problem: S1: The dual of the dual linear programming problem is again the primal problem S2: If either the primal or the dual problem has an unbounded objective function value, the other problem has no feasible ... problems are equal. Which of the following is true? S1 and S2 S1 and S3 S2 and S3 S1, S2 and S3
asked
Aug 2, 2016
in
Others
by
jothee
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104k
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856
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ugcnetjune2015iii
operationresearch
linearprogramming
+2
votes
1
answer
12
UGCNETDec2013III3
The following Linear Programming problem has: $\text{Max} \quad Z=x_1+x_2$ Subject to $\quad x_1x_2 \geq 0$ $\quad \quad \quad 3x_1  x_2 \leq 3$ $\text{and} \quad x_1 , x_2 \geq 0 $ Feasible solution No feasible solution Unbounded solution Single point as solution
asked
Jul 27, 2016
in
Others
by
jothee
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(
104k
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932
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ugcnetdec2013iii
operationresearch
linearprogramming
+2
votes
1
answer
13
UGCNETDec2013III2
Given the problem to maximize $f(x), X=(x_1, x_2, \dots , x_n)$ subject to m number of in equality constraints. $g_i(x) \leq b_i$, i=1, 2, .... m including the nonnegativity constrains $x \geq 0$. Which of the following conditions is a KuhnTucker necessary condition for a local ... $g_i (\bar{X}) \leq b_i, i=1,2 \dots m$ All of these
asked
Jul 27, 2016
in
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by
jothee
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104k
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383
views
ugcnetdec2013iii
operationresearch
linearprogramming
+1
vote
1
answer
14
UGCNETSep2013III13
If an artificial variable is present in the ‘basic variable’ of optimal simplex table then the solution is Alternative solution Infeasible solution Unbounded solution Degenerate solution
asked
Jul 22, 2016
in
Others
by
jothee
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104k
points)

369
views
ugcnetsep2013iii
artificialintelligence
linearprogramming
+1
vote
1
answer
15
UGCNETJune2013III25
The total transportation cost in an initial basic feasible solution to the following transportation problem using Vogel’s Approximation method is W1 W2 W3 W4 W5 W6 F1 4 2 3 2 6 8 F2 5 4 5 2 1 12 F3 6 5 4 7 3 14 Demand 4 4 6 8 8 76 80 90 96
asked
Jul 16, 2016
in
Others
by
jothee
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104k
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1.7k
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ugcnetjune2013iii
linearprogramming
transportationproblem
+2
votes
1
answer
16
UGCNETJune2013III24
A basic feasible solution to a morigin, ndestination transportation problem is said to be ______ if the number of positive allocations are less than m+n1. degenerate non degenerate unbounded unbalanced
asked
Jul 16, 2016
in
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by
jothee
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(
104k
points)

465
views
ugcnetjune2013iii
linearprogramming
transportationproblem
+2
votes
1
answer
17
UGCNETJune2013III23
At any iteration of simplex method if $\Delta j (Zj – Cj)$ corresponding to any nonbasic variable $Xj$ is obtained as zero, the solution under the test is Degenerate solution Unbounded solution Alternative solution Optimal solution
asked
Jul 16, 2016
in
Others
by
jothee
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(
104k
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632
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ugcnetjune2013iii
linearprogramming
+1
vote
1
answer
18
UGCNETDec2012III18
In a Linear Programming Problem, suppose there are three basic variables and 2 nonbasic variables, then the possible number of basic solutions are 6 8 10 12
asked
Jul 12, 2016
in
Others
by
jothee
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104k
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2.1k
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ugcnetdec2012iii
operationresearch
linearprogramming
+1
vote
2
answers
19
UGCNETJune2016III70
Consider the statement "Either $2 \leq x \leq 1 \text{ or } 1 \leq x \leq 2$" The negation of this statement is x<2 or 2<x or 1<x<1 x<2 or 2<x 1<x<1 x $\leq$ 2 or 2 $\leq$ x or 1<x<1
asked
Jul 11, 2016
in
Discrete Mathematics
by
Sanjay Sharma
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48.6k
points)

645
views
ugcnetjune2016iii
linearprogramming
+3
votes
1
answer
20
UGCNETJune2012III49
In any simplex table, if corresponding to any negative $\Delta$ j, all elements of the column are negative or zero, the solution under the test is degenerate solution unbounded solution alternative solution nonexisting solution
asked
Jul 7, 2016
in
IS&Software Engineering
by
jothee
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(
104k
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820
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ugcnetjune2012iii
operationresearch
linearprogramming
+2
votes
1
answer
21
UGCNETJune2012III46
The feasible region represented by the constraints $x_1  x_2 \leq 1, x_1 + x_2 \geq 3, x_1 \geq 0, x_2 \geq 0$ of the objective function Max $Z=3x_1 + 2x_2$ is A polygon Unbounded feasible region A point None of these
asked
Jul 7, 2016
in
Others
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jothee
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104k
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937
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ugcnetjune2012iii
operationresearch
linearprogramming
0
votes
1
answer
22
linear programming ....explain it
asked
Nov 15, 2014
in
Others
by
priya023
(
185
points)

303
views
linearprogramming
nongate
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