A future company manufactures two types of chairs: Basic Chairs and Luxury Chairs.
- Basic Chair Requirements 4 unit of wood and 3 hours of labour.
- Luxury Chair Requirements 5 unit of wood and 6 hours of labour.
- The company has limited resources of wood (200 units) and labour force (150 hours).
- Profit on Luxury chair = Rs. 200
- Profit on Basic chair = Rs. 300
Using any method, determine the optimal no. of basic chairs and luxury chairs.
Answer & explanation
Correct answer: option 1
The correct answer is Option (3) → $4x+5y≤200$
$x$ → Basic Chair
$y$ → Luxury Chair
$x,y≥0$, $Z=200x+300y$
and,
$4x+5y≤200$
$3x+6y≤150$
∴ Optimal production → 50 basic chair only.
