Question: 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

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 2 hours each on machine L and machine M, product B takes 4 hours on Land 2 hours on M. Machine L can be used for 9 hours and M for 8 hours. Profit on product A is $8 and $7 on B, Maximize profit. Maximize 8A + 7B Subject to: 2A + 4B 39 2A + 2B 3 8 AB 20. Maximize 8A + 78 Subject to: 2A + 2B 39 2A + 4B 3 8 A,B 20. Maximize 7A + 8B Subject to: 2A + 2B 59 2A + 4B S8 A.B 20. Maximize 8A + 7B Subject to: 2A + 2B 29 2A + 4B 2 8 AB 30

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