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6. The output of workers at a factory depends on the number of supervisors hired (see table below). The factory sells its output for $0.50 each, it hires 50 production workers at a wage of $100 per day, and it needs to decide how many supervisors to hire. The daily wage of supervisors is $500, but output rises as more supervisors are hired, as shown in the table. How many supervisors should it hire? Make sure to explain how you arrived to your answer for full credit.
Supervisors Output (units per day)
0 11000
1 14800
2 18000
3 19500
4 20200
5 20600

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The number of supervisors is estimated.

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