A factory operates on two types of machines
|
|
Machine A
|
Machine B
|
Maximum available
|
|
Floor space
|
2M2
|
3M2
|
18M2
|
|
Number of operators needed
|
4
|
3
|
24
|
There are more machines of type B than those of type A. Taking the number of machines of type A used as X and that of types B as Y, form the inequalities in X and Y. If the profit from using machine A is sh. 400 per hour and that from using machine B is sh. 600 per hour. Find graphically, the number of machines of each type that should be in use to give maximum profit per hour hence find the maximum profit.
Required
Develop a linear program and hence find the optimal solution for the problem.