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A plant can make five different products . Each product requires time on three machines according to the following data : Product Machine 1 12 Machine (minutes / unit Machine 2 8 Machine 3 5 A B 9 10 7 8 C 0 5 7 1 D E 3 6 13 4 250 hours per week are available from each machine. Products A, B, and Care purely competitive , and whatever quantity is produced can be sold at prices of $1,00, $oo, and $1,200 , respectively . The first 30 units produced per week of products D and can be sold for $1,100 each , but the excess 30 can only be sold for $700 each. Variable costs are $800 per hour for machines Mi and M2, while for machine M3 it is $600. The material costs $40 for products and C, and $200 for products B , D, and E