Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

A Bakery produces two types of cakes Chocolate and Vanilla . The Bakery has limited resources of flour (500 kg) and sugar (300 kg).

  • Each chocolate cake requires 5 kg flour and 3 kg sugar.
  • Each vanilla cake requires 2 kg flour and 4 kg sugar.
  • Profit on chocolate cake = Rs. 400
  • Profit on vanilla cake = Rs. 300

If the bakery increases its available flour by 100 kg, what will be the new constraints.

Options:

$5x+2y≤600$

$5x+3y≤600$

$5x+2y≥600$

$5x+3y≥600$

Correct Answer:

$5x+2y≤600$

Explanation:

The correct answer is Option (1) → $5x+2y≤600$

$5x+2y≤500$ → flour constraint

$3x+4y≤300$ → sugar constraint

$Z=400x+300y$

$x,y≥0$ → Non-zero constraint