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 2 hours on L and 3 hours on M. Machine L can be used for 14 hours and M for 9 hours Profit on product A is $7 and $6 on B. Maximize profit. OA Maximize 7A+68 Subject to: 2A + 2B ≤ 14 2A+3859 AB20 OC. Maximize 7A-68 Subject to: 2A 20214 3A+28 29 ABSO OB. Maximize 7A 68 Subject to: 2A+28s 14 3A 2859 AB20 OD. Maximize 6A+78 Subject to 2A 38 14 2A-2859 A, B20

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
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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 2 hours each on machine L and machine M; product B takes 2 hours on L and 3 hours on M. Machine L can be used for 14 hours and M for 9 hours
Profit on product A is $7 and $6 on B. Maximize profit.
OA Maximize 7A+68
Subject to: 2A + 2B < 14
2A+3859
AB20
OC. Maximize 7A-68
Subject to: 2A 20214
3A 28 20
ABSO
OB. Maximize 7A 68
Subject to: 2A+28s 14
34 2859
AB20
OD. Maximize 6A+78
Subject to
2A 38 14
2A-2059
A, B20
Transcribed Image Text: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 2 hours on L and 3 hours on M. Machine L can be used for 14 hours and M for 9 hours Profit on product A is $7 and $6 on B. Maximize profit. OA Maximize 7A+68 Subject to: 2A + 2B < 14 2A+3859 AB20 OC. Maximize 7A-68 Subject to: 2A 20214 3A 28 20 ABSO OB. Maximize 7A 68 Subject to: 2A+28s 14 34 2859 AB20 OD. Maximize 6A+78 Subject to 2A 38 14 2A-2059 A, B20
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