In a recent comprehensive survey of manufacturing firms in the nation of Oakhaven, researchers found that every firm that had adopted artificial intelligence (AI) for supply chain management within the last five years reported a subsequent reduction in overall operational costs. Furthermore, most of the manufacturing firms in Oakhaven that reported a reduction in overall operational costs also successfully expanded their international export markets. Interestingly, none of the firms that successfully expanded their international export markets experienced a decline in their total workforce size.
Based on the findings of the survey, which of the following statements are most strongly supported?
- Any manufacturing firm in Oakhaven that experienced a decline in its total workforce size failed to expand its international export markets.Cevap
- BMost of the manufacturing firms in Oakhaven that adopted AI for supply chain management within the last five years expanded their international export markets.
- At least some of the manufacturing firms in Oakhaven that reported a reduction in overall operational costs did not experience a decline in their total workforce size.Cevap
- DAny manufacturing firm in Oakhaven that did not experience a decline in its total workforce size successfully expanded its international export markets.
- EAdopting AI for supply chain management is the most effective way for manufacturing firms in Oakhaven to ensure they do not experience a decline in their total workforce size.
Cevap
The correct statements are that any firm experiencing a workforce decline failed to expand exports, and that at least some firms reporting reduced costs did not experience a workforce decline.
The correct choices rely on strict logical deductions. The first correct statement is the direct contrapositive of the final premise (if expanding exports prevents a workforce decline, then having a workforce decline means you didn't expand exports). The second correct statement synthesizes the 'most' premise with the final conditional premise: if most firms with reduced costs expanded exports, and all firms that expanded exports avoided a workforce decline, then most (and therefore at least some) firms with reduced costs avoided a workforce decline.
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Anahtar Kavram
Drawing rigorous deductions by combining absolute conditional statements with quantified statements ('most', 'some'), while avoiding illegal reversals and quantifier scope fallacies.