Question

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:

• A. Maximize Z = 150x + 200y, subject to 6x + 10y \(\geq\) 60, 4x + 4y \(\geq\) 32, x, y \(\geq\) 0
• B. Maximize Z = 150x + 200y, subject to 6x + 10y \(\leq\) 60, 4x + 4y \(\leq\) 32, x, y \(\geq\) 0
• C. Maximize Z = 150x + 200y, subject to 6x + 4y \(\geq\) 60, 10x + 4y \(\geq\) 32, x, y \(\geq\) 0
• D. Maximize Z = 150x + 200y, subject to 6x + 10y \(\geq\) 60, 4x + 4y \(\leq\) 32, x, y \(\geq\) 0

Answer 1

The Correct Option is A

The correct option is (A): Maximize Z = 150x + 200y, subject to 6x + 10y \(\geq\) 60, 4x + 4y \(\geq\) 32, x, y \(\geq\) 0