Latest questions in this category.
Look at it this way: complete solution: write formula, plug data, do arithmetic. Final value matches 0, 2. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
Understanding this is easy: we verify There will be no effect by full calculation: use standard identity, substitute, simplify step by step to reach There will be no effect.
Ref: NCERT Mathematics Class XII — Linear Programming
Notice that complete solution: write formula, plug data, do arithmetic. Final value matches The LPP has a unique optimal solution. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
The trick is using formula we get only the corner points of the feasible region. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get only the corner points of the feasible region.
Ref: NCERT Mathematics Class XII — Linear Programming
From the definition, using formula we get non-negativity constraint. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get non-negativity constraint.
Ref: NCERT Mathematics Class XII — Linear Programming
From the definition, complete solution: write formula, plug data, do arithmetic. Final value matches It will satisfy all constraints. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
Look at it this way: solving fully: apply relevant formula, put numbers, compute. Result comes as 7. Easy verification shows it satisfies condition.
Ref: NCERT Mathematics Class XII — Linear Programming
We can see that we verify Infinite number of optimal solutions by full calculation: use standard identity, substitute, simplify step by step to reach Infinite number of optimal solutions.
Ref: NCERT Mathematics Class XII — Linear Programming
Applying the basic concept, using formula we get x + y ≤ 4, 3x + 8y ≤ 24, 10x + 7y ≤ 35, x ≥ 0 and y. ≥ 0subjected to Max Z = 5x + 7y. Calculation gives this
Ref: NCERT Mathematics Class XII — Linear Programming
We can see that we verify 72 by full calculation: use standard identity, substitute, simplify step by step to reach 72.
Ref: NCERT Mathematics Class XII — Linear Programming
Let's break it down: complete solution: write formula, plug data, do arithmetic. Final value matches m + 2. Simple and accurate.
Ref: NCERT Mathematics Class XII — Linear Programming
We can see that we verify Alternate optimal solution by full calculation: use standard identity, substitute, simplify step by step to reach Alternate optimal solution.
Ref: NCERT Mathematics Class XII — Linear Programming
