1

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

2

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

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Turbo Machinery

Heat Transfer

Thermodynamics

Production Engineering

Industrial Engineering

General Aptitude