Two tailors A and B earn ₹150 and ₹200 per day respectively. A can stitch 6 shirts and 4 pants per day, while B can stitch 10 shirts and 4 pants per day. If the tailors A and B work for x and y days respectively. To maximize the earning for producing at least 60 shirts and 32 pants, the LPP is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Maximize $Z=150x+200y$, subject to $6x+10y≥60, 4x+4y ≥ 32 , x, y ≥ 0$
from the problem given
we need to maximize earning
objective function → Maximize $Z = 150x + 200y$
constraints (1) to produce atleast 60 shirts → $6x+10y≥60$
(2) to produce atleast 32 shirts → $4x+4y≥32$
$x,y≥0$