How many workers should be in Packing Group B in order to ship 110,550 units for the shift?

To determine the number of workers needed in Packing Group B to ship 110,550 units during the shift, we need to consider several factors such as the production rate per worker, the shift length, and overall efficiency. Here are the steps to break down the problem and calculate the required number of workers:

1. Break Down the Problem

1. Identify the total number of units to be packed: 110,550 units.
2. Establish the average number of units that one worker can pack in a shift.
3. Determine the total time available in the shift.

2. Relevant Concepts

• Let $u$ be the units packed per worker per shift.
• Let $w$ be the number of workers required.
• The relationship can be formulated as: $w = \frac{\text{Total Units}}{\text{Units per Worker}}$

3. Analysis and Detail

Assuming, for example, that each worker can pack 500 units during the shift. The calculation would be: $w = \frac{110,550 \text{ units}}{500 \text{ units/worker}} = 221.1$ Since we cannot have a fraction of a worker, we round up to the next whole number, which means we will need 222 workers.

4. Verify and Summarize

It's crucial to verify our assumptions about the average packing rate per worker. If the packing rate is correct, then the calculated number of workers should be sufficient to meet the shipping goal of 110,550 units.

Final Answer

To ship 110,550 units for the shift, you will need 222 workers in Packing Group B, assuming each worker can pack 500 units. If the rate changes, the number of required workers will also change accordingly.