Ex 12.2, 2 - One kind of cake requires 200g of flour and 25g - Diet problems

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  1. Class 12
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Ex 12.2, 2 One kind of cake requires 200g of flour and 25g of fat, and another kind of cake requires 100g of flour and 50g of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes. Let Number of Cakes of 1st Kind be x and number of cakes of 2nd kind be y. According to Question According to Question : Since Total Number of Cakes = x + y Maximize Z = x + y. Combining all constraints Max Z = x + y Subject to constraints : 2x + y 50 x + 2y 40 x 0, y 0 Number of cakes will be maximum when Number of cakes of 1st kind are 20 & Number of cakes of 2nd kind are 10. Maximum Number of cakes = 30.

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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.