A large company has four divisions with 

250250​, 

310310​, 

380380​, 

and 

400400 

​employees, respectively. A total of 

2828 

computer technicians must be allocated to the four divisions according to their size. Find the standard quota for each division. 

Question content area bottom

Part 1

The standard quota for the division with 

250250 

employees is 

enter your response here​, 

the standard quota for the division with 

310310 

employees is 

enter your response here​, 

the standard quota for the division with 

380380 

employees is 

enter your response here​, 

and the standard quota for the division with 

400400 

employees is 

enter your response here.

To determine the standard quota of technicians for each division, we'll follow the same procedure as before:

### Step 1: Calculate the total number of employees.
\[
250 + 310 + 380 + 400 = 1340
\]

### Step 2: Calculate the standard quota for each division.

1. **For the division with 250 employees**:
   \[
   \text{Standard Quota} = \left(\frac{250}{1340}\right) \times 28 \approx 5.22
   \]

2. **For the division with 310 employees**:
   \[
   \text{Standard Quota} = \left(\frac{310}{1340}\right) \times 28 \approx 6.48
   \]

3. **For the division with 380 employees**:
   \[
   \text{Standard Quota} = \left(\frac{380}{1340}\right) \times 28 \approx 7.94
   \]

4. **For the division with 400 employees**:
   \[
   \text{Standard Quota} = \left(\frac{400}{1340}\right) \times 28 \approx 8.36
   \]

### Final Standard Quotas:

- **For the division with 250 employees**: approximately **5.22**
- **For the division with 310 employees**: approximately **6.48**
- **For the division with 380 employees**: approximately **7.94**
- **For the division with 400 employees**: approximately **8.36**

These quotas represent the number of technicians that should ideally be allocated to each division based on their size.

If you have any further questions or need more details, feel free to ask!

---

**Relative Questions:**

1. How would the standard quotas differ if there were 40 technicians instead of 28?
2. What challenges might arise when allocating resources based on standard quotas?
3. How can a company handle cases where the quotas don't sum to whole numbers?
4. What would be the impact on the quotas if the number of employees in the largest division increased by 100?
5. How can this method be applied to non-staff-related resource allocations?

**Tip:** When allocating resources, consider using the integer part of the quotas first, and then distribute the remaining resources based on the decimal parts to ensure fairness.

Learn how to calculate standard quotas for divisions based on their employee sizes. This problem involves dividing technicians among divisions proportionally to their sizes: 250, 310, 380, and 400 employees. Suitable for advanced high school students.

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