Question 33 A linear programming problem is as follows: 𝑀𝑖𝑛𝑖𝑚𝑖𝑧𝑒 𝑍 = 30𝑥 + 50𝑦 subject to the constraints, 3𝑥 + 5𝑦 ≥ 15 2𝑥 + 3𝑦 ≤ 18 𝑥 ≥ 0,𝑦 ≥ 0 In the feasible region, the minimum value of Z occurs at (a) a unique point (b) no point (c) infinitely many points (d) two points only
Our LPP is
Minimise Z = 5x + 3y
3x + 5y ≥ 15
2x + 3y ≤ 18
x ≥ 0 , y ≥ 0
∴ Minimum of Z occurs at 2 points
So, the correct answer is (d)
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.