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

Use the graphical method to solve the constraints.

Options:

$(100,0)$

$(0,75)$

$(0,0)$

$(0,250)$

Correct Answer:

$(100,0)$

Explanation:

The correct answer is Option (1) → $(100,0)$

∴ Optimally, bakery should produce 100 chocolate cake.