Test: Exam 3 Time Remaining: 02 21.23 Submit Tes This 5 pts This Test: 100 pts S

Question

Test: Exam 3 Time Remaining: 02 21.23 Submit Tes This 5 pts This Test: 100 pts State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A 8rm makes products A and B. Product A takes 3 hours each on machine L and machine M: product Btakes 4 hours on L and 2 hours on M. Machine L can be used for 12 hours and M for 10 hours Profit on product A is $8 and $10 on B. O B. Maximize BA 108 Subject to 3A+38s 12 2A +48 s 10 A B20 Subject to: 3A 3B 2 12 2A+4B 2 10 A Bso O C. Maximize 10A+88 OD. Maximize BA+ 108 Subject to: 3A 4Bs 12 3A + 4B s 10 A, B20 3A 2Bs 10 A, B20

Explanation / Answer

Let quantities of A be A and B be B , hence A , B >=0

Then profit is 8A + 10 B , we have to maximise profit , therefore

maximize 8A + 10 B

machine L can be used for 12 hours

Product A = 3 hours , Product B = 4 hours

Therefore 3A + 4B <= 12 (machine L can be used maximum for 12 hours)

machine M can be used for 10 hours

Product A = 3 hours , Product B = 2 hours

Therefore 3A + 2B <= 10 (machine M can be used maximum for 10 hours)

Hence the answer is D

maximize 8A + 10 B

3A + 4B <= 12

3A + 2B <= 10

A , B >=0

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