In the context of linear programming,

Match List – I with List – II.

Choose the correct answer from the options given below:

A-III, B-I, C-IV, D-II

The correct answer is Option (1) → A-III, B-I, C-IV, D-II

$\text{In linear programming:}$

$(A)\;Z=250x+75y \rightarrow \text{Objective function} \Rightarrow (III).$

$(B)\;5x+y\le100,\;x-y\le4 \rightarrow \text{Non-trivial constraints} \Rightarrow (I).$

$(C)\;x\ge0,\;y\ge0 \rightarrow \text{Trivial constraints} \Rightarrow (IV).$

$(D)\;\text{Points within and on the boundary of the shaded region} \rightarrow \text{Feasible solution} \Rightarrow (II).$

$\text{Correct matching: }A\!-\!III,\;B\!-\!I,\;C\!-\!IV,\;D\!-\!II.$