If objective function $Z=20x+30y $ of an LPP is subject to the constraints $3x+4y ≥ 12, 4x + y ≥4, x ≥4, x ≥0, y≥ 0, $ then Z has :
(A) Min at (0, 4)
(B) Max at (0, 4)
(C) Min at (4, 0)
(D) Max at (4, 0)
(E) Min at $(\frac{4}{13}, \frac{36}{13})$
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (C) Only
$Z_{min}=Z(4,0)$
$=20×4+30×0=80$