Question

A company produces two products P and Q. Each P require 4 hours of grinding and 2 hours of polishing and each Q requires 2 hours of grinding and 5 hours of polishing. The total available hours for grinding is 20 and for polishing is 24. Profit per unit of P is 6 and that of Q is Rs. 8. Formulate the L.P.P

Answer 1

Let x be the units of P manufactured and y be the units of Q manufactured

| Products | Griding hrs | Polishing hours | Profit per unit |
| P | 4 | 2 | 6 |
| Q | 2 | 5 | 8 |
| Availability of time | 20 | 24 | |

Maximize z = 6x + 8y

Subject to constraints