Ex 12.2, 7 - A company manufactures two types of novelty - Manufacturing problems

Slide34.PNG
Slide35.PNG Slide36.PNG Slide37.PNG

  1. Chapter 12 Class 12 Linear Programming
  2. Serial order wise
Ask Download

Transcript

Ex 12.2, 7 A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profit? According to Question As, we need to maximize the profit, so the function used here will be Maximize z. Profit on Type A → Rs. 5 Profit on Type B → Rs. 6 ∴ Maximize z = 5x + 6y Combining all Constraints : Maximize Z = 5x + 6y Subject to Constraints : 5x + 8y ≥ 200 10x + 8y ≤ 240 x ≥ 0 , y ≥ 0 Hence, Profit will be maximum if company Produces 8 souvenirs of type A and 20 Souvenirs of Type B Max. Profit = Rs. 160

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail