Hiring a new worker costs, Management Theories

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suppose there are four workers with the cost of $2000 per month per worker and every worker makes 1500 units per month. Hiring a new worker costs $500 and firing one costs $800 (per worker). If inventory costs $.001 ($/unit/month) and no shortage permitted, find the minimum number of workers required for the next 9 months (months 1 - 9) and total minimum cost.

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