Home › JEE Main › Mathematics › Linear Programming › The common region determined by all the constrai…
The common region determined by all the constraints together is called the:
AFractional region
BFrictional region
CFeasible region
DFeasible reason
Answer & Solution
Correct answer: C. Feasible region
1. Each constraint alone rules out part of the plane.
2. What survives every constraint at once is one region.
3. That common region is the feasible region.
4. The non-negative constraints are included in forming it.
_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: