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A factory manufactures two product which are produced on three machines X, Y and Z. The first product requires 2 hours on machine X, 3 hour on machine Y and 1 hour on machine Z. The second product requires 1 hour on machine X,4 hours on machine Y and 2 hours on machine X can be used for at most 100 hours, machine Y for at most 240 hours and machine Z for at most 90 hours .The profit per unit is sh.300 for the first product and sh.400 for the second product. Form inequalities representing the above information and represent on the grid provided. From the graph, determine the number of unit of each product that should be produced to give maximum profit.