Home › JEE Main › Mathematics › Linear Programming › Points within and on the boundary of the feasibl…
Points within and on the boundary of the feasible region represent:
AFixed solutions
BFinal solutions
CFailed solutions
DFeasible solutions
Answer & Solution
Correct answer: D. Feasible solutions
1. Any point in the region satisfies every constraint.
2. The boundary counts as well as the interior.
3. Such points represent feasible solutions of the constraints.
4. So every point of the region is a feasible solution.
_Source: NCERT Class XII Mathematics Part II, Ch 12 'Linear Programming'_
Related questions
Two depots hold 180 and 250 tons; two customers order 200 and 150 tons. After the cheapestA gardener needs AT LEAST 10 units of chemical A. A jar gives 5 units and a carton 1 unit.A gardener needs at least 10, 12 and 12 units of chemicals A, B and C. Jars cost 3,000 andMine A gives 1, 3 and 5 tons of high, medium and low grade ore daily; mine B gives 2 tons Profit is Shs. 3000 on a ring and Shs. 1900 on a chain. With $x$ rings and $y$ chains, theA firm makes $x$ rings and $y$ chains, at most 24 items a day. A ring takes 1 hour, a chaiSome problems minimise a linear function subject to given:A linear programming problem must have constraints that are: