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State the linear programming problem in mathematical terms, identifying the objective function and the constraints A firm makes products A and B. Product A takes 3 hours each on machine L and machine M; product B takes 4 hours on L and 3 hours on M. Machine L can be used for 12 hours and M for 10 hours. Profit on product A is $7 and $9 on B. Maximize profit. Maximize 7A 9B Subject to: 3A +4B s 12 3A +3B s 10 A, B20 Maximize 7A 9B Subject to: 3A +3B z 12 A, Bs0 Maximize 7A 9B Subject to: 3A +3B s 12 3A +4B s 10 A, B20 Maximize 9A +7B Subject to: 3A +3B s 12 3A +4B s 10 A, B20

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