A level Linear Programming Quiz 1

16 QuestionsMultiple ChoiceFree Practice

About this quiz

This A level Linear Programming Quiz 1 quiz contains 16 multiple choice questions designed to help you revise and test your A level Linear Programming Quizzes knowledge. Select an answer for each question and click “Submit Answer” to see instant feedback. Take your time and try to score as high as possible!

Description

In this exciting mathematics quiz, we will be looking at linear programming. Linear programming in mathematics mainly deals with looking for solutions to linear equations and/or functions. It is very essential in the provision of optimal solutions to problems with given impediments. Because of this, linear programming is being applied in the business world and many other areas.

Linear programming is a mathematical modeling technique in which a function is maximized or minimized when exposed to several impediments. In simple terms, it is a method used to achieve optimal end results in a mathematical model whose requirements are represented by the use of linear relationships. It can be applied in numerous fields of study such as mathematics, economics, engineering, and business. Some of the industries making use of linear programming are telecommunications, transportation, energy, and manufacturing. Also, it has been found out that linear programming has proven useful in the modeling of diversified problems in scheduling, planning, routing, design, etc Though with all the useful things that can be done with linear programming, it has its limitations. When solving a linear programming model, there is no assurance that we will get integer-valued solutions.

It is important that we have a recap of the topic so that you can be reminded about what’s coming. Now that it has been done, you can go ahead and start answering the quiz. Good luck to you.

Progress0 / 16 answered

Question 1 of 16

Z = 20x1 + 20x2, subject to x1 ≥ 0, x2 ≥ 0, x1 + 2x2 ≥ 8, 3x1 + 2x2 ≥ 15, 5x1 + 2x2 ≥ 20. The minimum value of Z occurs at

Question 2 of 16

Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at

Question 3 of 16

Minimize Z = 20x1 + 9x2, subject to x1 ≥ 0, x2 ≥ 0, 2x1 + 2x2 ≥ 36, 6x1 + x2 ≥ 60.

Question 4 of 16

Z = 8x + 10y, subject to 2x + y ≥ 1, 2x + 3y ≥ 15, y ≥ 2, x ≥ 0, y ≥ 0. The minimum value of Z occurs at

Question 5 of 16

Z = 4x1 + 5x2, subject to 2x1 + x2 ≥ 7, 2x1 + 3x2 ≤ 15, x2 ≤ 3, x1, x2 ≥ 0. The minimum value of Z occurs at

Question 6 of 16

The maximum value of f = 4x + 3y subject to constraints x ≥ 0, y ≥ 0, 2x + 3y ≤ 18; x + y ≥ 10 is

Question 7 of 16

Objective function of a L.P.P. is

Question 8 of 16

The optimal value of the objective function is attained at the points

Question 9 of 16

Region represented by x ≥ 0, y ≥ 0 is

Question 10 of 16

The region represented by the inequalities
x ≥ 6, y ≥ 2, 2x + y ≤ 0, x ≥ 0, y ≥ 0 is

Question 11 of 16

The minimum value of Z = 4x + 3y subjected to the constraints 3x + 2y ≥ 160, 5 + 2y ≥ 200, 2y ≥ 80; x, y ≥ 0 is

Question 12 of 16

The maximum value of Z = 3x + 2y, subjected to x + 2y ≤ 2, x + 2y ≥ 8; x, y ≥ 0 is

Question 13 of 16

Maximize Z = 11x + 8y, subject to x ≤ 4, y ≤ 6, x ≥ 0, y ≥ 0.

Question 14 of 16

Maximize Z = 10×1 + 25×2, subject to 0 ≤ x1 ≤ 3, 0 ≤ x2 ≤ 3, x1 + x2 ≤ 5.

Question 15 of 16

Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0.

Question 16 of 16

Maximize Z = 3x + 5y, subject to x + 4y ≤ 24, 3x + y ≤ 21, x + y ≤ 9, x ≥ 0, y ≥ 0.