GATE ME

Linear Programming

Industrial Engineering

(Past Years Questions)

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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Maximize $$\,\,\,\,\,\,\,\,\,Z = 5{x_1} + 3{x_2}$$ Subject to $$\,\,\,\,\,\,\,\,\,\,{x_1} + 2{x_2} \le 10,$$ $$\eqalign...
GATE ME 2017 Set 2
Two models, $$P$$ and $$Q,$$ of a product earn profits of Rs. $$100$$ and Rs. $$80$$ per piece, respectively. Production...
GATE ME 2017 Set 1
A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the...
GATE ME 2016 Set 3
Maximize $$\,\,\,\,Z = 15{x_1} + 20{x_2}$$ Subject to $$\eqalign{ & 12{x_1} + 4{x_2} \ge 36 \cr & 12{x_1} - 6{x_2...
GATE ME 2016 Set 1
For the linear programming problem: $$\eqalign{ & Maximize\,\,\,\,\,Z = 3{x_1} + 2{x_2} \cr & Subject\,\,to\,\,\,...
GATE ME 2015 Set 3
Consider an objective function $$Z\left( {{x_1},{x_2}} \right) = 3{x_1} + 9{x_2}$$ and the constraints $$\eqalign{ & ...
GATE ME 2014 Set 3
A linear programming problem is shown below. $$\eqalign{ & Maximize\,\,\,\,3x + 7y \cr & Subject\,\,to\,\,\,3x + ...
GATE ME 2013
One unit of product $${P_1}$$ requires $$3$$ $$kg$$ of resource $${R_1}$$ and $$1$$ $$kg$$ of resource $${R_2}$$. One un...
GATE ME 2011
One unit of product $${P_1}$$ requires $$3$$ $$kg$$ of resource $${R_1}$$ and $$1$$ $$kg$$ of resource $${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{ & \,\,\,\,\,\,\,\,\,\,\,3x + 2y \l...
GATE ME 2008
Consider the Linear programme $$(LP)$$ Max $$4x$$ + $$6y$$ Subject to $$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,3x + 2y \l...
GATE ME 2008
Consider a linear programming problem with two variables and two constraints. The objective function is: Maximize $${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

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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{ & Maximize\,\,\,\,\,\,4{x_1} + 6{x_2} + ...
GATE ME 2000

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