A company manufacturer’s two products A and B. Each product must be processed in machine I and machine II where product A requires 2 hours in machine I and 1 hour in machine II, while product B requires 2hours each in both machines. The maximum possible units sold per day for products A and B are 130 and 150 respectively. The profit made per unit of products A and B is ksh.200 and Ksh.300 respectively. The amount of time available on machine I is 360 hours and machine II is 260 hours.
(i) Formulate a linear programming model
(ii) Determine the number of products A and B, which should be manufactured in order to maximize the profit.
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