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A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes. Production has scheduled 600 lbs to be processed during each 8-hour shift. Approximately how many minutes of down time will the machine have during each shift?

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jjohnjjohn

Answer:

53.33 minutes

Step-by-step explanation:

1 lb = 16 oz

600 x 16 = 9600

600 lbs = 9600 oz every 8 hours needed

15 x 3 = 45 oz every 2 minutes produced

45 / 2 = 22.5 oz every 1 minute procuded

8 x 60 = 480 minutes in 8 hours

9600 = 22.5x   =  9600 / 22.5 = 426.67 minutes until complete

480 - 426.67 = 53.33 minutes of downtime

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