Recent questions and answers in Optimization

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Consider the following linear programming (LP):$\begin{array}{ll} \text{Max.} & z=2x_1+3x_2 \\ \text{Such that} & 2x_1+x_2 \leq 4 \\ & x_1 + 2x_2 \leq 5 \\ & x_1, x_2 \geq 0 \end{array}$The optimum value of the LP is$23$9.5$13$8$
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A solution for the differential equation $x’(t) + 2x(t) = \delta(t)$ with initial condition $x(\overline{0}) = 0$e^{-2t}u(t)$e^{2t}u(t)$e^{-t}u(t)$e^{t}u(t)$
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Bounded minimalization is a technique forproving whether a promotive recursive function is turning computable or notproving whether a ... function or notgenerating primitive recursive functionsgenerating partial recursive functions
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Consider the following transportation problem:The initial basic feasible solution of the above transportation problem using Vogel's Approximation ... problem:is degenerate solutionis optimum solutionneeds to improveis infeasible solution
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The initial basic feasible solution of the following transportion problem:is given as5 8 7 2210then the minimum cost is767880 82
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The initial basic feasible solution to the following transportation problem using Vogel's approximation method is$\begin{array}{|c|c|c|c|c|c|} \hline \text{} & \textbf{$ ... $= 180$None of the above
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In constraint satisfaction problem, constraints can be stated asArithmetic equations and inequalities that bind the values of variablesArithmetic ... over variablesArithmetic equations that discard constraints over the given variables
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Consider the following transportation problem:The transportation cost in the initial basic feasible solution of the above transportation problem using Vogel's Approximation method is$1450$1465$1480$1520$
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A basic feasible solution of a linear programming problem is said to be ______ if at least one of the basic variable is zerogeneratedegenerateinfeasibleunbounded
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Consider the following conditions:The solution must be feasible, i.e. it must satisfy all the supply and demand constraintsThe number of positive allocations must be equal to $m+n-1$ ... and $iii$ only$ii$ and $iii$ only$i$, $ii$ and $iii$
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Given the following statements with respect to linear programming problem:S1: The dual of the dual linear programming problem is again the primal problemS2: If either the ... the following is true?S1 and S2S1 and S3S2 and S3S1, S2 and S3
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In the Hungarian method for solving assignment problem, an optimal assignment requires that the maximum number of lines that can be drawn through squares with ... number ofrows or columnsrows + columnsrows + columns -1rows + columns +1
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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 non- ... i=1,2 \dots m$g_i (\bar{X}) \leq b_i, i=1,2 \dots m$All of these
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The following Linear Programming problem has:$\text{Max} \quad Z=x_1+x_2$Subject to $\quad x_1-x_2 \geq 0$\quad \quad \quad 3x_1 - ... Feasible solutionNo feasible solutionUnbounded solutionSingle point as solution
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If the primal Linear Programming problem has unbounded solution, then it's dual problem will havefeasible solutionalternative solutionno feasible solution at allno alternative solution at all
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Which of the following special cases does not require reformulation of the problem in order to obtain a solution ?Alternate optimalityInfeasibility UnboundednessAll of the above
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The given maximization assignment problem can be converted into a minimization problem bySubtracting each entry in a column from the maximum value in that column.Subtracting ... Adding maximum value of the table to each entry in the table.
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In a Linear Programming Problem, suppose there are three basic variables and 2 non-basic variables, then the possible number of basic solutions are681012
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If dual has an unbounded solution, then its corresponding primal hasno feasible solutionunbounded solutionfeasible solutionnone of these
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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 $Z=3x_1 + 2x_2$ isA polygonUnbounded feasible regionA pointNone of these
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