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# Test: Optimal Solution

## 10 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Optimal Solution

Description
This mock test of Test: Optimal Solution for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Test: Optimal Solution (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Optimal Solution quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Optimal Solution exercise for a better result in the exam. You can find other Test: Optimal Solution extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

Solution:
QUESTION: 2

### The optimum value of the objective function is attained at the points​

Solution:

The optimal value of the objective function is attained at the points given by corner points of the feasible region.

QUESTION: 3

### The maximum value of Z = 4x + 3y subjected to the constraints 3x + 2y ≤ 160, 5x + 2y ≤ 200, x + 2y ≤ 80 ; x, y ≥ 0 attains at​

Solution:
QUESTION: 4

A feasible solution of a LPP if it also optimizes the objective function is called​

Solution:
QUESTION: 5

Shape of the feasible region formed by the following constraints is x + y ≤ 10, x + y ≥ 6, x ≥ 0, y ≥ 0​

Solution:

x + y ≤ 10
x + y = 10
For x = 0, y = 10
x + y ≥ 6,     x + y = 6
For x = 0, y =6
Hence, the image will be the trapezium.

QUESTION: 6

Region represented by x ≥ 0, y ≥ 0 is​

Solution:
QUESTION: 7

Find the maximum value of z = 3x + 4y subject to constraints x + y ≤ 4 , x ≥ 0 and y ≥ 0​

Solution:
QUESTION: 8

Infeasibility means that the number of solutions to the linear programming models that satisfies all constraints is​

Solution:
QUESTION: 9

The set of all feasible solutions of a LPP is a ____ set.​

Solution:

The set of feasible solutions to an LP (feasible region) forms a (possibly unbounded) convex set.

QUESTION: 10

Which of the following sets are convex ?​

Solution:

{(x,y) : y≥2 , y≤4} is the region between two parallel lines, so any line segment joining any two points in it lies in it. Hence, it is the convex set.