engineering recuitment GATE ME 2023-24 Test Series Industrial Engineering Operations Research Linear Programming
A company manufactures two types of cars A and B and their selling prices are 2 lakhs and 4 lakhs respectively. The manufacturing cost of each car is 1 lakh for A and 3 lakhs for B and the company has 96 lakhs allotted to manufacturing. The material requirement is 2 kg for A and 5 kg for B and the company has 100 kg material in storage.
1
In Primal linear program, the function to be maximized is 2x1 + 4x2
2
In Dual linear program, the function to be maximized is 96y1 + 100y2
3
The optimal solution to the primal problem is x1 = 50, x2 = 0
4
The optimal solution to the dual problem is y1 = 0, y2 = 1