Question

Consider that the fixed costs of a startup are 35,476.00 and that you want to have a profit margin of 20%, and the estimated number of subscribers is only 100 in the first month. The product of this platform is a digital platform, which offers a free plan and a plan with a monthly subscription of R$20.00, with psychological care services for R$70.00 and professional training for R$120.00 (in two services are retained a 10% fee by the platform) in addition to basic level e-books R$15.00, advanced R$40.00 and complete R$80.00. The platform hires professionals based on partnerships. How to calculate the number of psychologists and professional training content providers the platform needs to close to obtain the desired profit margin

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Answer to a math question Consider that the fixed costs of a startup are 35,476.00 and that you want to have a profit margin of 20%, and the estimated number of subscribers is only 100 in the first month. The product of this platform is a digital platform, which offers a free plan and a plan with a monthly subscription of R$20.00, with psychological care services for R$70.00 and professional training for R$120.00 (in two services are retained a 10% fee by the platform) in addition to basic level e-books R$15.00, advanced R$40.00 and complete R$80.00. The platform hires professionals based on partnerships. How to calculate the number of psychologists and professional training content providers the platform needs to close to obtain the desired profit margin

Expert avatar
Miles
4.9
108 Answers
To calculate how many service providers (psychologists and professional training content providers) your platform needs to meet the desired profit margin, follow these steps:

### Step 1: Calculate Required Revenue
Using the formula for the target revenue (R):
R = \frac{\text{Fixed Costs}}{1 - \text{Profit Margin}}
R = \frac{35,476.00}{1 - 0.20} = \frac{35,476.00}{0.80} = 44,345.00

### Step 2: Estimate Revenue from Different Sources
- Revenue from Subscriptions: 100 \times 20 = 2,000.00

Find the remaining revenue needed from services and e-books to meet the target.

### Step 3: Calculate Required Number of Services
- For psychological care:
The number of Psychological Sessions Needed = \frac{21,172.50}{7.00} \approx 3025 sessions

- For professional training:
The number of Training Sessions Needed = \frac{21,172.50}{12.00} \approx 1764 sessions

### Step 4: Assumptions for Revenue Split
Assume equal revenue split for psychology and training:
\text{Revenue from Psychology} = \text{Revenue from Training} = \frac{42,345.00}{2} = 21,172.50

### Step 5: Calculate Number of Sessions Required
- For Psychological care: 3025 sessions
- For Professional training: 1764 sessions

### Step 6: Determine Number of Providers Needed
If each provider can handle 40 sessions per month:
- Number of Psychologists Needed: \frac{3025}{40} \approx 76 psychologists
- Number of Trainers Needed: \frac{1764}{40} \approx 44 trainers

### Answer:
The platform needs approximately 76 psychologists and 44 professional training providers to meet the desired profit margin.

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