Check sibling questions

Misc 9 - If the grower wants to maximise the amount of nitrogen - Diet problems

Misc 9 - Chapter 12 Class 12 Linear Programming - Part 2
Misc 9 - Chapter 12 Class 12 Linear Programming - Part 3
Misc 9 - Chapter 12 Class 12 Linear Programming - Part 4
Misc 9 - Chapter 12 Class 12 Linear Programming - Part 5

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

Misc 9 Refer to Question 8. If the grower wants to maximise the amount of nitrogen added to the garden, how many bags of each brand should be added? What is the maximum amount of nitrogen added? Let bags of brand P needed be x bags of brand Q needed be y As, we need to maximize the amount of nitrogen, Hence the function used is maximize Z Brand P contains → 3 kg Brand Q contains → 3.5 kg ∴ Z = 3x + 3.5y Combining all constraints Maximize Z = 3x + 1.5 y Subject to constraints x + 2y ≥ 240 3x + 1.5y ≥ 270 1.5x + 2y ≤ 310 x ≥ 0 , y ≥ 0 Hence, the nitrogen will be minimum if the mixture contains No. of bags of Brand P = 140 No. of bags of Brand Q = 50 Minimum amount of Nitrogen = 595 kg

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.