Imagine an old wool-making company in the middle of 19th century England using Jacquard loom weaving machines. The output Jacquard looms is given by the formula O(x) = – x2 + 18x + 12 where x is the amount of input (yarns of wool) used in the machines. What is the input level that corresponds to the highest output?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Imagine an old wool-making company in the middle of 19th century England using Jacquard loom weaving machines. The output Jacquard looms is given by the formula O(x) = – x2 + 18x + 12 where x is the amount of input (yarns of wool) used in the machines. What is the input level that corresponds to the highest output? 2. What is the actual amount of Jacquard looms at the inflection point of function O(x)?
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