Question

Corner points of the feasible region for an LPP, are (0, 2), (3, 0), (6, 0) and (6, 8). If z = 2x + 3y is the objective function of LPP then max. (z)-min.(z) is equal to:

• A. 30
• B. 24
• C. 21
• D. 9

Answer 1

The Correct Option is A

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): \(30\)