1. A small refinery produces only two products: Super and Diesel. These are produced by processing crude oil through three (3) processors: a cracker, a splitter and a separator. To produce one barrel of Super requires 3 hours for cracker, 2 hours for separator and splitter requires three times the hours required for cracker. To produce a barrel of Diesel requires 4 hours for splitter, half the time required for splitter is needed for cracker and five times the time required for cracker is needed for separator. The factory has allocated at most 66 hours for cracker, 180 hours for splitter and 200 labour hours for separator. In addition, it cost the producer GHC45.00 and GHC90.00 per barrel to produce Super and Diesel respectively. Selling prices per barrel of Super and Diesel are GHC135.00 and GHC165.00 respectively. a. Formulate the manufacturer's problem as LP so as to maximize profit whilst satisfying the resource limitation. b. Determine how many of each item should be produced to maximize profit; c. Determnine the scarce resources

1. A small refinery produces only two products: Super and Diesel. These are produced by processing crude oil through three (3) processors: a cracker, a splitter and a separator. To produce one barrel of Super requires 3 hours for cracker, 2 hours for separator and splitter requires three times the hours required for cracker. To produce a barrel of Diesel requires 4 hours for splitter, half the time required for splitter is needed for cracker and five times the time required for cracker is needed for separator. The factory has allocated at most 66 hours for cracker, 180 hours for splitter and 200 labour hours for separator. In addition, it cost the producer GHC45.00 and GHC90.00 per barrel to produce Super and Diesel respectively. Selling prices per barrel of Super and Diesel are GHC135.00 and GHC165.00 respectively. a. Formulate the manufacturer's problem as LP so as to maximize profit whilst satisfying the resource limitation. b. Determine how many of each item should be produced to maximize profit; c. Determnine the scarce resources

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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