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

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Miles
4.9
115 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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