Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

An Airline operates flight between 2 major cities and has two classes of tickets, Economy and Business.

  • Each Economy seat costs Rs. 5,000 and has 150 available seats.
  • Each Business costs Rs. 12,000 and has 50 available seats.
  • Total passenger capacity is 180.
  • Airline must cover at least Rs. 10,00,000 in operation cost.

What is the maximum profit earned by the airline.

Options:

9 Lakhs

9.2 Lakhs

9.4 Lakhs

9.9 Lakhs

Correct Answer:

9.9 Lakhs

Explanation:

The correct answer is Option (4) → 9.9 Lakhs

$Z_{max}=Z(166,14)$

$=5,000×166+12,000×14$

$=9,98,000$