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A manufacturing manufactures two items X1 and X2 which are handled in a machine shop and assembly shop. Item X1 requires 2 hours of work in a machine shop and 4 hours of work in the assembly shop to manufacture while product X2 requires 3 hours of work in the machine shop and 2 hours of work in the assembly shop. In one day, the industry cannot use more than 16 hours of machine shop and 22 hours of assembly shop. It earns a profit of rupees 3 per unit of product X1 and rupees. 4 per unit of product X2. Give a mathematical formulation of the problem as to maximise profit.