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Fictional production index and conflicting measures

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Fictional production index and conflicting measures

A supplied invented table records production and employment in an imaginary industry. In the baseline year, output is 100 index units and employment is 200 workers. In the later year, output is 120 index units and employment is 150 workers. Both observations use the same coverage and output definition, and the exercise assumes comparable working hours solely for its simple productivity calculation. A student calls this a universal collapse because jobs fell; another says every worker became better off because output rose. There is no wage, ownership, working-condition or distribution information. The task is to distinguish output, employment and output per worker, then identify why an aggregate economic trend does not automatically establish the experience of every household.

1. Calculate changes in output, employment and output per worker.

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Output rises 20 percent, while employment falls 25 percent. Output per worker moves from 100/200 =0.5 to 120/150 =0.8 index units, a 60 percent increase. Comparable coverage and the supplied hours assumption are essential to that comparison.

2. Can the table establish universal welfare improvement or explain the job loss?

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No. Wages, working hours beyond the simplified assumption, ownership, prices, labor conditions and household outcomes are not supplied. Technology or reorganization might contribute, but the table alone does not identify a unique cause or prove every worker benefited.