Linear Programming Problems and Concepts

Linear Programming Problems and Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces linear programming problems (LPP) and demonstrates how to formulate and solve them using graphical methods. It provides examples of manufacturing scenarios, such as producing models A and B, and screws, to illustrate the process of maximizing profit. The tutorial covers the creation of tables, formulation of objective functions, and constraints, followed by solving the LPP graphically to find feasible regions and optimal solutions.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in formulating a Linear Programming Problem (LPP)?

Calculate the profit

Formulate the LPP from the given situation

Solve the equations

Draw the graph

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the manufacturing problem, what are the two models being produced?

Models 1 and 2

Models C and D

Models A and B

Models X and Y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the profit for each piece of Model A?

Rupees 5,000

Rupees 12,000

Rupees 8,000

Rupees 10,000

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the objective function in LPP?

To minimize the cost

To maximize or minimize a certain quantity

To calculate the number of units

To draw the graph

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the feasible region in a graphical solution of LPP?

The region determined by all constraints

The area above the graph

The area outside the graph

The intersection of the axes

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second manufacturing problem, what are the two types of screws?

Type X and Y

Type A and B

Type C and D

Type 1 and 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum profit in the second LPP problem?

400

500

700

600