To solve this problem, we need to calculate the standard divisor and standard quota for each clinic. Here are the steps to tackle each part:

(a) Compute the Standard Divisor

The standard divisor is calculated by dividing the total number of patients by the total number of doctors.

$\text{Standard Divisor} = \frac{\text{Total Number of Patients}}{\text{Total Number of Doctors}}$

From the table:

• Total number of patients = 2967
• Total number of doctors = 50

$\text{Standard Divisor} = \frac{2967}{50} = 59.34$

So, the standard divisor is 59.34.

(b) Compute the Standard Quota for Each Clinic

The standard quota for each clinic is calculated by dividing the number of patients in each clinic by the standard divisor. We’ll round each answer to the nearest hundredth.

1. Valley Clinic: $\text{Standard Quota} = \frac{794}{59.34} \approx 13.38$

2. Pleasant Clinic: $\text{Standard Quota} = \frac{1119}{59.34} \approx 18.86$

3. Hope Clinic: $\text{Standard Quota} = \frac{1054}{59.34} \approx 17.76$

Summary of Results

• Standard Divisor: 59.34
• Standard Quota for Valley: 13.38
• Standard Quota for Pleasant: 18.86
• Standard Quota for Hope: 17.76

Would you like further explanation on any of these calculations, or have other questions?

Here are some related questions for further exploration:

1. How would the standard divisor change if the total number of doctors increased?
2. What would happen to the standard quotas if each clinic's patient load increased equally?
3. How could rounding impact the final allocation of doctors?
4. What other methods could be used to allocate resources besides the standard divisor and quota?
5. How might this method apply in different fields, such as education or public safety?

Tip: Always double-check the rounding instructions, as they can affect the final allocation outcome in resource distribution problems.