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

Write the total profit made by bakery.

Options:

40,000

30,000

45,000

42,000

Correct Answer:

40,000

Explanation:

The correct answer is Option (1) → 40,000

$Z_{max}=Z(100,0)$

$⇒400×100+300×0$

$⇒40,000$