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to customer $51 $60 9 During the next two months, Machineco must meet (on Plant 2 to customer $42 $71 time) the demands for three
to customer $51 $60 9 During the next two months, Machineco must meet (on Plant 2 to customer $42 $71 time) the demands for three types of products shown in Table 45. Two machines are available to produce these "Based on Mulvey (1979). This problem is based on Brown, Geoffrion, and Bradley (1981). Review Problems 473 products. Machine I can only produce products I and 2, and TABLE 44 machine 2 can only produce products 2 and 3. Each machine Professor 2 Professor 3 can be used for up to 40 hours per mor month. Table 46 shows Professor 1 the time required to produce on e one unit of each product Fall Preference (independent of the type of machine); the cost of producing WU A W Spring Preference one unit of each product on each type of machine; and the cost of holding one unit of each product in inventory for one month. Formulate an MCNFP that could be used to minimize Marketing the total cost of meeting all demands on time. Ua A Finance Production TABLE 46 Production Cost ($) Production Time (minutes) Machine 1 Machine 2 Holding TABLE 45 Product Cost (S Month Product 1 Product 2 Product 3 30 40 15 20 45 60 50 units 70 units 80 units 10 W N 15 60 units 90 units 120 units 55 S
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