Feasible region (shaded) for a LPP is shown in Figure. Maximise $Z = 5x + 7y$.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 43
Given Maximise $Z = 5x + 7y$
As shown in the figure OABC is the feasible region whose corner points are O(0, 0), A(7, 0), B(3, 4) and C(0, 2) Evaluating the value of Z, we get
|
Corner points |
Value of Z |
|
O(0, 0) |
$Z=5(0)+7(0)=0$ |
|
A(7, 0) |
$Z=5(7)+7(0)=35$ |
|
B(3, 4) |
$Z=5(3)+7(4)=43$ ← Maximum |
|
C(0, 2) |
$Z=5(0)+7(2)=14$ |
Hence, the maximum value of Z is 43 at (3, 4).