Homework1-IENG212.docx - EASTERN MEDITERRANEAN UNIVERSITY...

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EASTERN MEDITERRANEAN UNIVERSITY Department of Industrial Engineering IENG/MANE212 Modelling and Optimization HOMEWORK 1 Spring 2016-17 1. 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. Requirements per unit Raw material I II III Availability A 2 3 5 4000 B 4 2 7 600 Minimum demand 200 200 150 Profit per unit ($) 30 20 50 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. the market requirements specify the ratios 3:2:5 for the production of three respective models. Formulate the problem as a linear program. 2. A steel manufacturer produces for size of I beams: small, medium, large and extra large. These beams can be produced on any one of three machine types: A, B, and C. The lengths in feet of the I beams that can be produces on the machines per hour are summarized.
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