Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Linear Programming

Question:

A person wants to invest an amount of ₹75,000. He has two options A and B yielding 8% and 9% return respectively on the invested amount. He plans to invest at least ₹15,000 in Plan A and at least ₹25,000 in Plan B. Also he wants that his investment in Plan A is less than or equal to his investment in Plan B. Which of the following options describes the given LPP to maximize the return (where x and y are investments Plan A and Plan B respectively?

Options:

maximize Z = 0.08x + 0.09y
x ≥ 15000
y ≥ 25000
x + y ≥ 75000
x ≤ y
x, y ≥ 0

maximize Z = 0.08x + 0.09y
x ≥ 15000
y ≤ 25000
x + y ≥ 75000
x ≤ y
x, y ≥ 0

maximize Z = 0.08x + 0.09y
x ≥ 15000
y ≥ 25000
x + y ≤ 75000
x ≥ y
x, y ≥ 0

maximize Z = 0.08x + 0.09y
x ≥ 15000
y ≥ 25000
x + y ≤ 75000
x ≤ y
x, y ≥ 0

Correct Answer:

maximize Z = 0.08x + 0.09y
x ≥ 15000
y ≥ 25000
x + y ≤ 75000
x ≤ y
x, y ≥ 0

Explanation:

The correct answer is Option (4).