© 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.
Solution: 👈: Video Solution
Let the number of Souvenirs of type A and type B be x and y , respectively. To maximize : Z = ₹ ( 100 x + 120 y ) Subject to constraints :
x ≥ 0
y ≥ 0
5 x + 8 y ≤ 200
10 x + 8 y ≤ 240
Corner Points | Value of |
3000 | |
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: