Test: Optimal Solution - JEE MCQ

# Test: Optimal Solution - JEE MCQ

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

Test: Optimal Solution for JEE 2024 is part of Mathematics (Maths) Class 12 preparation. The Test: Optimal Solution questions and answers have been prepared according to the JEE exam syllabus.The Test: Optimal Solution MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Optimal Solution below.
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Test: Optimal Solution - Question 1

### If the system of constraints has no point which satisfies all the constraints and non-negativity restrictions then the solution of a LPP is an​

Test: Optimal Solution - Question 2

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

Detailed Solution for Test: Optimal Solution - Question 2

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

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Test: Optimal Solution - 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​

Test: Optimal Solution - Question 4

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

Test: Optimal Solution - Question 5

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

Detailed Solution for Test: Optimal Solution - Question 5

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.

Test: Optimal Solution - Question 6

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

Test: Optimal Solution - Question 7

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

Detailed Solution for Test: Optimal Solution - Question 7

Test: Optimal Solution - Question 8

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

Test: Optimal Solution - Question 9

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

Detailed Solution for Test: Optimal Solution - Question 9

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

Test: Optimal Solution - Question 10

Which of the following sets are convex ?​

Detailed Solution for Test: Optimal Solution - Question 10

{(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.

## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests
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## Mathematics (Maths) Class 12

204 videos|288 docs|139 tests