CBSE Class 12 Math 2020 Delhi Set 1 Solved Paper

© examsnet.com
Question : 31
Total: 36
A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A requires 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. Given that total time for cutting is 3 hours 20 minutes and for assembling 4 hours. The profit for type A souvenir is ₹ 100 each and for type B souvenir, profit is ₹ 120 each. How many souvenirs of each type should the company manufacture in order to maximize the profit? Formulate the problem as an LPP and solve it graphically.
Let the number of Souvenirs of type A and type B be x and y, respectively. To maximize : Z=(100x+120y) Subject to constraints :
x0
y0
5x+8y200
10x+8y240
Corner PointsValue of Z (in ₹)
A(0,25)3000
B(8,20)3200 Maximum
C(24,0)2400
Hence maximum profit of ₹3200 is obtained when 8 souvenirs of type A and 20 souvenirs of type B is manufactured.
© examsnet.com
Go to Question: