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

Answer: (A)

30

Answer 2

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): $30$