Misc 1 - How many packets of each food should be used maximize - Diet problems

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  1. Chapter 12 Class 12 Linear Programming
  2. Serial order wise
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Misc 1 Refer to Example 9. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet? Let Number of Packets of food P be x Number of Packets of food Q be y According to Question : As, we need to maximize the amount of Vitamin A in diet hence we will use function maximize Z. We need to maximize the amount of vitamin A in the diet Food P Contains → 6 units Vitamin A Food Q Contains → 3 units Vitamin A ∴ Maximize Z = 6x + 3y Combining all the constraints : Maximize Z = 6x + 3y Subject to Constraints, 4x + y ≥ 80, x + 5y ≥ 115, 3x + 2y ≤ 150 , x ≥ 0 , y ≥ 0

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.