(A) In a Linear Programming $(LP)$ problem,the feasible region is defined as the set of all points that satisfy all the given constraints simultaneous

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must satisfy all of the problem's constraints simultaneously.

(A) In a Linear Programming $(LP)$ problem,the feasible region is defined as the set of all points that satisfy all the given constraints simultaneously,including the non-negativity restrictions. Any point within or on the boundary of this feasible region is called a feasible solution. Therefore,by definition,a feasible solution must satisfy all the constraints of the problem simultaneously.

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$A$ feasible solution to an $LP$ problem,

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A
must satisfy all of the problem's constraints simultaneously.
B
need not satisfy all of the constraints,only some of them.
C
must be a corner point of the feasible region.
D
must optimize the value of the objective function.

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$A$ feasible solution to an $LP$ problem,

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It is now possible to breed plants and animals with desired characters through:

Which of the following statements is correct in the context of observing $DNA$ separated by agarose gel electrophoresis?

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Assertion $(A)$: Ductile metals are used to prepare thin wires.
Reason $(R)$: In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.