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.

Formulate the problem as LPP.

Options:

$Z=50x+12y$

$Z=5000x+12y$

$Z=500x+12y$

$Z=5000x+12000y$

Correct Answer:

$Z=5000x+12000y$

Explanation:

The correct answer is Option (4) → $Z=5000x+12000y$

$x$ → Number of economy class

$y$ → Number of business class

Maximize the revenue,

∴ Maximize $Z=5000x+12000y$