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 :

Maximize $Z=150x+200y$, subject to $6x+10y≥60, 4x+4y ≥ 32 , x, y ≥ 0$

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 → $4x+4y≥32$

$x,y≥0$