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 3 hours on L and 2 hours on M. Machine L can be used for 13 hours and M for 8 hours. Profit on product A is $7 and $10 on B. Maximize profit.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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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 3 hours on L and 2 hours on M. Machine L can be used for 13 hours and M for 8 hours. Profit on product A is $7 and $10 on B. Maximize profit.

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