A Tea Enterprise makes tea bags and employs families of children with special needs. At plant A (Husband-dry) and Plant B (Weafy) and packs them at Plant C (Kiddos). Due to economies of scale, Plant A needs to make a minimum of 1000 bags of Tealicious and Libertea, and Plant B needs to make a minimum of 800 bags of Tealicous and Libertea. Plant C can pack a maximum of 1200 bags of tea. Plant A can make 10 Tealicous and 5 Libertea per hour. Plant B can produce 5 Tealicous and 10 Libertea per hour. In Plant C, the kids can pack 6 bags of Tealicous and 5 bags of Libertea in an hour. If it costs Php300 per hour to produce Tealicous and Php 350 per hour to process leaves of Libertea, how many hours must be spent on each brand of tea in order to minimize cost? What is the minimum cost? Use Linear Programming Graphical method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A Tea Enterprise makes tea bags and employs families of children with special needs. At plant A (Husband-dry) and Plant B (Weafy) and packs them at Plant C (Kiddos). Due to economies of scale, Plant A needs to make a minimum of 1000 bags of Tealicious and Libertea, and Plant B needs to make a minimum of 800 bags of Tealicous and Libertea. Plant C can pack a maximum of 1200 bags of tea. Plant A can make 10 Tealicous and 5 Libertea per hour. Plant B can produce 5 Tealicous and 10 Libertea per hour. In Plant C, the kids can pack 6 bags of Tealicous and 5 bags of Libertea in an hour. If it costs Php300 per hour to produce Tealicous and Php 350 per hour to process leaves of Libertea, how many hours must be spent on each brand of tea in order to minimize cost? What is the minimum cost? Use Linear Programming Graphical method.

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