Question

Suppose that when studying innovative companies in the market, a researcher can, depending on characteristics such as size, capacity of expansion and differences in relation to the competition, estimate the potential of contributions by market investors. According to your analysis, obtained two company profiles (startups) associating the potential of financial return to the investor (y) and the number of investors interested in such proposals (x), as being a(x)=450000x-2500, for x<15 and b(x)=315000x-1750, for x≥15. If companies with both profiles obtain, at a given moment, revenue from 800000.00, what is the expected number of investors for each profile? Hide comments for question 2 Calculating the respective roots, we obtain: (considering only the positive root) Between 0 and 1 for the first profile and between 0 and 1 for the second profile Between 1 and 2 for the first profile and between 2 and 3 for the second profile Between 0 and 1 for the first profile and between 2 and 3 for the second profile Between 1 and 2 for the first profile and between 1 and 2 for the second profile Between 2 and 3 for the first profile and between 0 and 1 for the second profile

226

likes1128 views

Hermann

4.6

73 Answers

To find the expected number of investors for each company profile, we need to set the revenue equal to the corresponding function and solve for x.

For the first company profile a(x):

Given revenue: $800,000

Equating revenue to the function a(x):

450000x - 2500 = 800000

450000x = 802500

x = \frac{802500}{450000} = 1.7833

For the second company profile b(x):

Given revenue: $800,000

Equating revenue to the function b(x):

315000x - 1750 = 800000

315000x = 801750

x = \frac{801750}{315000} ≈ 2.54

Therefore, the expected number of investors for the first profile is approximately 1.78 and for the second profile is approximately 2.54.

\boxed{\text{First profile: } x \approx 1.78, \text{ Second profile: } x \approx 2.54}

For the first company profile a(x):

Given revenue: $800,000

Equating revenue to the function a(x):

For the second company profile b(x):

Given revenue: $800,000

Equating revenue to the function b(x):

Therefore, the expected number of investors for the first profile is approximately 1.78 and for the second profile is approximately 2.54.

Frequently asked questions (FAQs)

Question: What is the vertex of the quadratic function y = 2x² + 4x + 3?

+

Math question: What is the quadratic expression factored as (2x + 3)(4x - 5)?

+

Question: What is the measure of the third angle of a triangle if the first angle is 75° and the second angle is 45°?

+

New questions in Mathematics