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

286

likes
1432 views

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
114 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.

Frequently asked questions (FAQs)
Math question: How would you solve log base 2 of x plus log base 3 of x equals 4?
+
Math question: What is the value of x in the equation log(base 3)(x) + log(base 3)(2x) = 4?
+
What is the variance of the data set {3, 7, 5, 9, 1} considering the calculation formula for variance?
+
New questions in Mathematics
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
7273736363-8
Determine the momentum of a 20 kg body traveling at 20 m/s.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
2x+4x=
reduce the expression (7.5x 12)÷0.3
The ninth term of a given geometric progression, with reason q , is 1792, and its fourth term is 56. Thus, calculate the fourth term of another geometric progression, whose ratio is q +1 and whose first term is equal to the first term of the first P.G. described.
89, ÷ 10
3.24 ÷ 82
Let v be the set of all ordered pairs of real numbers and consider the scalar addition and multiplication operations defined by: u+v=(x,y)+(s,t)=(x+s+1,y+t -two) au=a.(x,y)=(ax+a-1,ay-2a+2) It is known that this set with the operations defined above is a vector space. A) calculate u+v is au for u=(-2,3),v=(1,-2) and a=2 B) show that (0,0) #0 Suggestion find a vector W such that u+w=u C) who is the vector -u D) show that axiom A4 holds:-u+u=0
2x2
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
-5x=115
2x-4=8
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter