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.

$300x+200y$

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: $3x+6y≤150$