Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Calculus

Question:

A firm wishes to transport 1500 packages using large vans which carry 100 packages each and small vans which can carry 50 packages each. The cost of engaging large van is ₹400 and small van is ₹100 and not more than ₹5,000 can be spent on job. Also, number of large vans can't exceed the number of small vans. Formulating an LPP we get ?

Options:

$2x+y≥30; 4x+y≥50; x, y ≥ 0$

$2x+y ≥ 30; 4x+y ≥ 50; x≥y; x, y ≥ 0$

$2x+y≤30; 4x+y ≤50; x ≥ y; x, y ≥ 0$

$2x+y≤30; 4x+y ≤50; x ≤ y; x, y ≥ 0$

Correct Answer:

$2x+y≤30; 4x+y ≤50; x ≤ y; x, y ≥ 0$