Check sibling questions

Example 8 - A manufacturing company makes two models A and B - Manufacturing problems

Example 8 - Chapter 12 Class 12 Linear Programming - Part 2
Example 8 - Chapter 12 Class 12 Linear Programming - Part 3 Example 8 - Chapter 12 Class 12 Linear Programming - Part 4 Example 8 - Chapter 12 Class 12 Linear Programming - Part 5


Transcript

Example 8 (Manufacturing problem) A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 8000 on each piece of model A and Rs 12000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week? Let the number of Pieces of Model A be x the number of pieces of Model B be y According to Question: Profit on Model A Rs 8000 Profit on Model B Rs 12000 Max Z = 8000 x + 12000 y Combining all constraints : Maximize Z = 8000x + 12000y Subject to Constraints, 3x + 4y 60 x + 3y 30 x 0, y 0 Hence, the Profit will be maximum if Company Produces 12 pieces of Model A 6 Pieces of Model B & Maximum Profit is Rs 1,68,000.

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.