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## Marks 1

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Simplex method of solving linear programming problem uses
GATE ME 2010
If at the optimum in a linear programming problem, a dual variable corresponding to a particular primal constraint is ze...
GATE ME 1996

## Marks 2

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Two models, $$P$$ and $$Q,$$ of a product earn profits of Rs. $$100$$ and Rs. $$80$$ per piece, respectively. Production...
GATE ME 2017 Set 1
Maximize $$\,\,\,\,\,\,\,\,\,Z = 5{x_1} + 3{x_2}$$ Subject to $$\,\,\,\,\,\,\,\,\,\,{x_1} + 2{x_2} \le 10,$$ \eqalign... GATE ME 2017 Set 2 A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the... GATE ME 2016 Set 3 Maximize\,\,\,\,Z = 15{x_1} + 20{x_2}$$Subject to$$\eqalign{ &amp; 12{x_1} + 4{x_2} \ge 36 \cr &amp; 12{x_1}...
GATE ME 2016 Set 1
For the linear programming problem: \eqalign{ &amp; Maximize\,\,\,\,\,Z = 3{x_1} + 2{x_2} \cr &amp; Subject\,\,... GATE ME 2015 Set 3 Consider an objective functionZ\left( {{x_1},{x_2}} \right) = 3{x_1} + 9{x_2}$$and the constraints$$\eqalign{ &a...
GATE ME 2014 Set 3
A linear programming problem is shown below. \eqalign{ &amp; Maximize\,\,\,\,3x + 7y \cr &amp; Subject\,\,to\,\... GATE ME 2013 One unit of product{P_1}$$requires$$3kg$$of resource$${R_1}$$and$$1kg$$of resource$${R_2}$$. One un... GATE ME 2011 One unit of product$${P_1}$$requires$$3kg$$of resource$${R_1}$$and$$1kg$$of resource$${R_2}$$. One un... GATE ME 2011 Consider the following Linear Programming problem$$(LLP)$$Maximize:$$Z = 3{x_1} + 2{x_2}\,\,$$Subject$$\,\,$$... GATE ME 2009 Consider the Linear programme$$(LP)$$Max$$4x$$+$$6y$$Subject to$$\eqalign{ &amp; \,\,\,\,\,\,\,\,\,\,\,3x + 2...
GATE ME 2008
Consider the Linear programme $$(LP)$$ Max $$4x$$ + $$6y$$ Subject to \eqalign{ &amp; \,\,\,\,\,\,\,\,\,\,\,3x + 2... GATE ME 2008 Consider a linear programming problem with two variables and two constraints. The objective function is: Maximize{x_1...
GATE ME 2005
Consider a linear programming problem with two variables and two constraints. The objective function is: Maximize $${x_1... GATE ME 2005 A company produces two types of toys:$$P$$and$$Q.$$Production time of$$Q$$is twice that of$$P$$and the company h... GATE ME 2004 A manufacturer produces two types of products,$$1$$and$$2,$$at production levels of$${x_1}$$and$${x_2}$$respect... GATE ME 2003 ## Marks 5 More A furniture manufacturer produces chairs and tables. The wood-working department is capable of producing$$200$$chairs ... GATE ME 2002 Solve the following linear programming problem by simplex method$$\eqalign{ &amp; Maximize\,\,\,\,\,\,4{x_1} + 6{x_2...
GATE ME 2000

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