The position of points O (0,0) and P (2,–2) in

the region of graph of inequations

2x – 3y < 5, will be -

The solution set of the inequation

2x + y > 5 is -

The necessary condition for third quadrant

region in x – y plane, is-

Objective function of a L.P.P. is -

The optimal value of the objective function

is attained at the points -

Which of the following statements is correct?

The intermediate solutions of constraints must

be checked by substituting them back into-

If the number of available constraints is 3 and

the number of parameters to be optimized is

4, then-

“The Maximum or the Minimum of the

objective function occurs only at the corner

points of the feasible region.” This theorem

is known as Fundamental Theorem of -

The feasible solution of a L.P.P. belongs to-

If the constraints in a linear programming

problem are changed-

The value of objective function is maximum

under linear constraints-

In a test of Mathematics, there are two types

of questions to be answered - short answered

and long answered. The relevant data are

given below

The objective function for the above question

is -

The vertices of a feasible region of the above

question are-

The maximum value of objective function in

the above question is-

The objective function in the above question

is-

In the examination of P.E.T. the total marks

of Mathematics are 300. If the answer is right,

marks provided 3 and if the answer is wrong,

marks provided –1. A student knows the

correct answer of 67 questions and remaining

questions are doubtful for him. He takes the

time 11⁄2 minutes to give the correct answer

and 3 minutes that for doubtful. Total time is

3 hours. In the question paper after every two

simple questions, one question is doubtful.

He solve the questions one by one, then the

number of questions solved by him, are-

In the above question the minimum marks

obtained by the student, are-

The probable region of the linear programming

problem in the above question is of the type-

The vertices of the above region are-

The optimal solution of the above question is

at -