NEB Class 12 • Mathematics • Computational Methods • Concept Guide

Linear Programming by the Simplex Method: NEB Class 12 Maths Guide

Master Linear Programming by the Simplex Method through clear concepts, representations, a reliable answer method and exam-focused practice.

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Concepts · Worked reasoning · NEB practice

Quick answer: Linear programming optimizes a linear objective under linear constraints. The simplex method moves among feasible corner solutions using pivots while tracking slack variables and optimality conditions.

Core concept

What Linear Programming by the Simplex Method means physically

Linear programming optimizes a linear objective under linear constraints. The simplex method moves among feasible corner solutions using pivots while tracking slack variables and optimality conditions.

Convert inequalities to standard form with slack/surplus variables, build a tableau, choose entering and leaving variables by the stated convention, pivot, and repeat until optimal.

The institutional reference gives the wider physical model; the CDC curriculum determines the NEB boundary.

Worked checkpoint with interpretation

A small production model maximizes profit subject to labor and material limits; slack variables measure unused resources at a feasible solution.

Do not stop at the number. State what the sign, ratio, spacing, frequency or direction means. A common error is Ignoring non-negativity, pivoting on a nonpositive ratio, mixing maximization conventions, or reporting an infeasible tableau as optimal.

NEB answer method

Model → evidence → equation → check

First identify the system and what the question asks. Label the diagram, apparatus or reaction with SI quantities, then state the principle before selecting an equation. Solve symbolically where possible and check units, limiting cases and chemical or physical meaning.

StageQuestionEvidence
ModelWhat is idealised?Assumption stated
RepresentationWhich diagram fits?Labels or balanced equation
CalculationWhich relation follows?Symbols then SI values
EvaluationDoes it make sense?Unit, sign and trend check

Make the idea concrete in Nepal

Connect the model to a school laboratory, household technology, health, environment, energy or local material. The example should clarify the science rather than merely mention a place. Compare a prediction with an observation and record uncertainty.

Review the NEB Class 12 Mathematics revision roadmap and the complete Mathematics guide. For online or physical tuition, call 9846662070.

Questions students ask about Linear Programming by the Simplex Method

What is the central idea of Linear Programming by the Simplex Method?

Linear programming optimizes a linear objective under linear constraints. The simplex method moves among feasible corner solutions using pivots while tracking slack variables and optimality conditions.

Which equation should I remember?

Convert inequalities to standard form with slack/surplus variables, build a tableau, choose entering and leaving variables by the stated convention, pivot, and repeat until optimal.

How should I begin a numerical?

Draw the situation, list known quantities in SI units, choose the governing relation symbolically, substitute once and finish with a unit and reasonableness check.

What is a common exam mistake?

Ignoring non-negativity, pivoting on a nonpositive ratio, mixing maximization conventions, or reporting an infeasible tableau as optimal.

How can I practise this topic?

Alternate one concept explanation, one diagram and two numericals. Revisit errors after a day instead of only rereading the solution.

Where can I get tuition support?

For online or physical KTM Tuition classes, call 9846662070. After Grade 12, the MKS Education panel below gives preparation and pre-counselling contacts.

Frequently asked questions

References and next steps

Scope checked against CDC Nepal; concept support from an institutional reference and OpenStax Science. Continue with the Linear Programming by the Simplex Method cluster.

NEB +2 tuition support

Ask about online or physical tuition

For focused Class 11 and Class 12 subject tuition, lesson clarification, worked-example practice and exam preparation, call 9846662070. Class mode, timetable, teacher availability and fees should be confirmed directly before enrolment.

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