High School

An operation can produce 100 units per hour for any product and is available for 8 hours a day. Assume that this capacity is both the maximum and the effective capacity for this operation. Each product requires a setup time of one hour. How many units could be produced if five different products have to be produced on the same day?

Answer :

An operation has a maximum and effective capacity of 100 units per hour for any product. However, it is only available for 8 hours a day. Each product requires time of one hour. Find out how many units could be produced if five different products have to be produced on the same day.

The solution in more than 100 words. If each product requires a set-up time of one hour, the effective production time available for each product is only 7 hours. This is because the operation runs for 8 hours, and one hour of the time is used to set up each product. For the five different products, the total production time is 5 × 7 hours = 35 hours. Since the maximum capacity for each hour is 100 units, the total production is 100 × 35 = 3,500 units.

Therefore, if five different products have to be produced on the same day, 3,500 units could be produced.

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