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
Formulate the given problem as a LPP.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $300x+200y$
Let $x$ basic chair and $y$ luxury chair is to produced.
The total profit (Z) can be expressed as:
$Z$, optimization = $300x+200y$
and, $x,y≥0$
The company has limited resources of wood and labour:
-
Wood Constraint:
- Basic Chair requires 4 units of wood.
- Luxury Chair requires 5 units of wood.
- Total wood available = 200 units. The constraint for wood is:$4x+5y≤200$
-
Labour Constraint:
- Basic Chair requires 3 hours of labour.
- Luxury Chair requires 6 hours of labour.
- Total labour available = 150 hours. The constraint for labour is: $3x+6y≤150$