OR Deterministic Model 2015.docx - OR Deterministic Model 2015(Midterm Exam ID Number Name 2015 10.22(Thur < Full Credit 140 Pts 7 Problems 9 pages 100

# OR Deterministic Model 2015.docx - OR Deterministic Model...

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OR Deterministic Model 2015 (Midterm Exam.) 2015. 10.22 (Thur.) ID Number ( ), Name ( ) < Full Credit: 140 Pts, 7 Problems, 9 pages, 100 Minutes allowed > You may write your answers on the space below the question. If needed, use the rear page. 주의 : 스테이플 묶음을 뜯지 마시오 . 지면이 부족할 경우 해당문제의 뒷면을 이용하시오 . 1. (20 Pts.) A manufacturer produces three models, I, II, and III, of a certain product using raw materials A, and B. The following table gives the data for the problem. The labor time per unit of model I is twice that of II and three times that of III. The entire labor force of the factory can produce the equivalent of 1500 units of model I. ( 모델 I 의 단위당 작업시간은 모델 II 2 , 모델 III 3 배이며 공장에서 사용할 수 있는 총 노동력은 제품 I 기준으로 1500 개 생산하는 수준이다 ). Market requirements specify the ratios 3:2:5 for the production of the three respective models. The profit of three models I, II, and III are 30, 40, and 50, respectively. Formulate the problem as a linear program. (Requirement per unit) I II III Availability Raw material A 2 3 4 4000 Raw material B 4 2 7 6000

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2. (20 pts.) Major shopping mall developer is selecting the tenant(
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