1
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider a linear programming problem with two variables and two constraints. The objective function is: Maximize $${x_1} + {x_2}.$$ The corner points of the feasible region are $$(0,0), (0,2), (2,0)$$ and $$(4/3, 4/3).$$
If an additional constraint $${x_1} + {x_2} \le 5$$ is added, the optimal solution is
2
GATE ME 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider a linear programming problem with two variables and two constraints. The objective function is: Maximize $${x_1} + {x_2}.$$ The corner points of the feasible region are $$(0,0), (0,2), (2,0)$$ and $$(4/3, 4/3).$$
Let $${y_1}$$ and $${y_2}$$ be the decision variables of the dual and $${v_1}$$ and $${v_2}$$ be the slack variables of the dual of the given linear programming problem. The optimum dual variables are
3
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A company produces two types of toys: $$P$$ and $$Q.$$ Production time of $$Q$$ is twice that of $$P$$ and the company has a maximum of $$2000$$ time units per day. The supply of raw material is just sufficient to produce $$1500$$ toys (of any type) per day. Toy type $$Q$$ requires an electric switch which is available @ $$600$$ pieces per day only. The company makes a profit of Rs.$$3$$ and Rs.$$5$$ on type $$P$$ and $$Q$$ respectively. For maximization of profits, the daily production quantities of $$P$$ and $$Q$$ toys should respectively be
4
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A manufacturer produces two types of products, $$1$$ and $$2,$$ at production levels of $${x_1}$$ and $${x_2}$$ respectively. The profit is given is$$2{x_1} + 5{x_2}.$$ The production constraints are
$$$\eqalign{
& {x_1} + 3{x_2} \le 40 \cr
& 3{x_1} + {x_2} \le 24 \cr
& {x_1} + {x_2} \le 10 \cr
& {x_1} > 0,\,{x_2} > 0 \cr} $$$
The maximum profit which can meet the constraints is
Questions Asked from Linear Programming (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude