Solve the following Linear Programming Problem graphically: Maximize Z = 400x + 300y subject to 𝑥 + 𝑦 ≤ 200, 𝑥 ≤ 40, 𝑥 ≥ 20, 𝑦 ≥ 0
CBSE Class 12 Sample Paper for 2023 Boards
CBSE Class 12 Sample Paper for 2023 Boards
Last updated at August 12, 2026 by Teachoo
Transcript
Question 30 Solve the following Linear Programming Problem graphically: Maximize Z = 400x + 300y subject to 𝑥 + 𝑦 ≤ 200, 𝑥 ≤ 40, 𝑥 ≥ 20, 𝑦 ≥ 0 Given Constraints : Maximise Z = 400x + 300y x + y ≤ 200 x ≤ 40 x ≥ 20 y ≥ 0 Hence, profit will be maximum, if x = 40, y = 16 And, Maximum Z = 64,000