Question

If there are 42 workers, each capable of making 120 round pieces per hour and 80 square pieces per hour, and 2 round pieces plus 1 square piece make a bucket, how would you assign the workers to produce the perfect number of buckets?

Answer 1

To determine the perfect number of buckets, allocate all workers to produce square pieces.

Step-by-step explanation:

To determine how many workers should be assigned to produce the perfect number of buckets, we need to compare the production rates of round and square pieces and find the most efficient combination.

Let's calculate the number of buckets that can be made by 42 workers in one hour:

1. Each worker can make 120 round pieces in one hour, so 42 workers can make 42*120 = 5040 round pieces in one hour.
2. Each worker can make 80 square pieces in one hour, so 42 workers can make 42*80 = 3360 square pieces in one hour.
3. Since 2 round pieces and 1 square piece make a bucket, we need to consider the ratio of round to square pieces: 5040/2 = 2520 buckets from round pieces and 3360/1 = 3360 buckets from square pieces.

Therefore, the most efficient way to assign the workers is to allocate all the workers to produce square pieces, resulting in a total of 3360 buckets produced.