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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.
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