Managing Workload and Vacation for Analysts: A Complex Production Scenario

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drm04
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The scenario is this: Four analysts work at a company reviewing invoices. Each analyst is expected to meet a quota of an average of 475 lines reviewed per day. The invoices vary in number of lines and dollar amount. Each analyst has an authority level based on a dollar amount set by management. Two analysts are at the same authority level and the other two are at different levels. In addition, the company must maintain a 30-day turn around for processing the invoices. Also, each analyst accrues up to 22 days of vacation per year. The question: How it is possible to equally distribute the workload with all of the variables discussed above and NOT apply a mathmatical or statistical formula of some sort?
 
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