Objective function as per question for all LPP is \(z = 2x + 3y\)
\(\Rightarrow\) corner point \((0, 2)\)
\(\Rightarrow\) \(z = 2x + 3y\)
= \(2 × 0 + 3 × 2 = 6\)
The difference between \(z's\) highest and lowest values is = \(36 - 6\)
= \(30\).
Hence, the correct option is (A): \(30\)