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📈 Optional Mathematics - Class 10
Lesson 3 · Solution of Linear Programming Problems

Solution of Linear Programming Problems Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

Solution of Linear Programming Problems

Objective function and constraints · Four-step graphical method · Maximum and minimum at the vertices

By the end of this lesson you can

🎯

Say what an objective function and constraints are

🗺️

Draw the feasible region of several inequalities

📍

Find the vertices of the feasible region

⚖️

Find the maximum and minimum of the objective function

Two parts of every problem

🎯Objective function
What we want largest or smallest
One linear function, like Z = 10x + 12y
Usually a profit or a cost
VS
🚧Constraints
The conditions the answer must obey
Several linear inequalities
Limits of time, material or money

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Presenter notes: Today we learn how a business can use a graph to find its greatest profit or its smallest cost. By the end, you will be able to solve a full linear programming problem on graph paper.