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 L and 2 hours on M. Machine L can be used for 8 hours and M for 7 hours. Profit on product A is $6 and $7 on B. Maximize profit.
A. Maximize 6A + 7B
Subject to: 2A + 2B ? 8
2A + 4B ? 7
A, B ? 0.
B. Maximize 7A + 6B
Subject to: 2A + 2B ? 8
2A + 4B ? 7
A, B ? 0.
C. Maximize 6A + 7B
Subject to: 2A + 2B ? 8
2A + 4B ? 7
A, B ? 0.
D. Maximize 6A + 7B
Subject to: 2A + 4B ? 8
2A + 2B ? 7
A, B ? 0.
Answer: D
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