A leather factory produces two kinds of bags, standard and deluxe. The profit margin is Rs. $20$ on a standard bag and Rs. $30$ on a deluxe bag. Every bag must be processed on a machine A and on machine B. The processing times per bag on the two machines are as follows:
| |
Time required (Hours/bag) |
| |
Machine A |
Machine B |
| Standard bag |
4 |
6 |
| Deluxe bag |
5 |
10 |
The total time available on machine A is $700$ hours and on machine B is $1250$ hours . Among the following production plans which one meets machine availability constrains and maximizes the profit?
- Standard $75$ bags, Deluxe $80$ bags
- Standard $100$ bags, Deluxe $60$ bags
- Standard $50$ bags, Deluxe $100$ bags
- Standard $60$ bags, Deluxe $90$ bags