An electric company has 300 Transistors, 400 Capacitors and 500 Inductors. The company wishes to make electronic goods using two circuits A and B. Requirement by circuit is as follows:
| Transistor | Capacitor | Inductor | |
| A | 175 | 300 | 200 |
| B | 125 | 100 | 300 |
The profit from circuit A and B is Rs. 2000 and Rs. 3000 respectively then constraints of the LPP based on this data are :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(7x + 5y \le 12; 3x + y \le 4; 2x + 3y \le 5; x, y \ge 0\)
Let the company make x circuits of type A and y circuits of type B. The components used cannot exceed the stock, so each constraint is of the type \(\le\):
Transistors: \(175x + 125y \le 300\), dividing by 25: \(7x + 5y \le 12\)
Capacitors: \(300x + 100y \le 400\), dividing by 100: \(3x + y \le 4\)
Inductors: \(200x + 300y \le 500\), dividing by 100: \(2x + 3y \le 5\)
The numbers of circuits cannot be negative: \(x, y \ge 0\). (The profits give the objective function \(Z = 2000x + 3000y\), not a constraint.)