Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

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

If the company decides to increase the available wood by 50 units, how it will alter the constraints.

Options:

$4x+5y≥200$

$4x+5y≥280$

$4x+5y≤250$

$4x+5y≤200$

Correct Answer:

$4x+5y≤250$

Explanation:

The correct answer is Option (3) → $4x+5y≤250$

$x$ → Basic Chair

$y$ → Luxury Chair

$⇒4x+5y≤250$ → only this constraint will be altered.