Page 141 - ADVANCED MATH F.5

Form Five Form Five

Formulation of linear programming problems
Teaching steps
1. Guide students through discussion to formulate linear
programming problems. Assist them in identifying the
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requirements when formulating a real life problem into
mathematical algebraic equations or inequalities.

2. Assist students through discussion to identify the decision
variables that determine the output. Ask them to use letters
such as x, y, and z as variables when formulating an inequality.
3. Guide students through discussion to formulate the constraints.
Assist them in connecting the decision variables under certain
restrictions or limitations. Lead them to recognize the non-
negativity value of constraints for all linear programming
problems.

4. Introduce students through discussion to the graphical
solution of linear programming problems. Lead them to treat
the inequalities as linear equations to determine the region
satisfying all the constraints.

5. Guide students through discussion to identify the following
characteristic terminologies:
(i) Optimal problem
(ii) Feasible region
(iii) Feasible solution
(iv) Optimal solution
(v) Optimal value
(vi) Optimal point
(vii) Objective function
6. Assist students through discussion to follow steps 1 to 6 in the
Student’s Book for solving graphically linear programming
problems.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 135 30/06/2024 18:02:34
ADVANCED MATH F.5 TG CHAPTERS.indd 135