The Linear Programming 2 category gathers intermediate and advanced problems on optimization. It focuses on techniques such as the simplex method, duality, and sensitivity analysis, helping learners deepen their understanding of linear programming concepts.
The trick is solving fully: apply relevant formula, put numbers, compute. Result comes as satisfies constraints and non-negativity restrictions. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Linear Programming
Applying the basic concept, solving fully: apply relevant formula, put numbers, compute. Result comes as only the corner points of the feasible region. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Linear Programming
Here's the idea in simple terms: we verify 10 by full calculation: use standard identity, substitute, simplify step by step to reach 10.
Ref: NCERT Mathematics Class XII — Linear Programming
Simply put, we verify 34 by full calculation: use standard identity, substitute, simplify step by step to reach 34.
Ref: NCERT Mathematics Class XII — Linear Programming
The logic is straightforward: we verify No solution by full calculation: use standard identity, substitute, simplify step by step to reach No solution.
Ref: NCERT Mathematics Class XII — Linear Programming
We can see that complete solution: write formula, plug data, do arithmetic. Final value matches Feasible but unbounded region with 3 corner points. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
Here's the idea in simple terms: using formula we get 5. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 5.
Ref: NCERT Mathematics Class XII — Linear Programming
Here's the idea in simple terms: solving fully: apply relevant formula, put numbers, compute. Result comes as min Z = 6x + 10y subjected to x + 2y ≥ 10,2x + 2y ≥ 12,3x + y ≥ 8,x , y
Ref: NCERT Mathematics Class XII — Linear Programming
From the definition, complete solution: write formula, plug data, do arithmetic. Final value matches Unique Solution. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
Applying the basic concept, solving fully: apply relevant formula, put numbers, compute. Result comes as 1,35,000 Rs. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Linear Programming
Simply put, we verify Them to be equations by full calculation: use standard identity, substitute, simplify step by step to reach Them to be equations.
Ref: NCERT Mathematics Class XII — Linear Programming
Applying the basic concept, using formula we get Satisfy the problem constraints and non-negatively restrictions. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get Satisfy the problem constraints and non-negatively restrictions.
Ref: NCERT Mathematics Class XII — Linear Programming
