Question
Mathematics Question on Linear Programmig Problem
| 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 ₹2000 and ₹3000 respectively then constrains of the LLP based on this data are : |
A
7x + 5y ≤ 12; 3x + y ≤ 4; 2x + 3y ≤5; x, y ≥ 0;
B
7x + 5y ≤ 12; x + 3y ≤ 4; 2x + 3y ≤5; x, y ≥ 0;
C
7x + 5y ≥ 12; 3x + y ≥ 4; 2x + 3y ≥ 5; x, y ≥ 0;
D
7x + 5y ≤ 12; 3x + y = 4; 2x + 3y ≤ 5; x, y ≥ 0;
Answer
7x + 5y ≤ 12; 3x + y ≤ 4; 2x + 3y ≤5; x, y ≥ 0;
Explanation
Solution
The correct option is (A) :7x + 5y ≤ 12; 3x + y ≤ 4; 2x + 3y ≤5; x, y ≥ 0;.