18.0k views
2 votes
A company has introduced two new products to the market. The revenue generated by product A was $63,000 in the first year, and the revenue increases by 3.5% every year.

The revenue generated by product B was $81,000 in the first year, and the revenue increases by 2.1% every year.

Which function can the company use to determine its total revenue from the two products, R(x), after they have been on the market for x years, and approximately what will be the revenue generated by sales of the products after 6 years?

R(x) = 9,000[7(1.035)x + 9(1.021)x]; $635,580
R(x) = 9,000[7(1.035)x + 9(1.021)x]; $169,200
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $688,050

User Newyuppie
by
7.4k points

2 Answers

2 votes
The correct answer is R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936
User Ostrichofevil
by
8.5k points
3 votes
For this case we have functions of the form:
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
x: time
Therefore, substituting values we have:
Product A:
y = 63000 (1,035) ^ x
Product B:
y = 81000 (1,021) ^ x
The sum of the products is:
R (x) = 63000 (1,035) ^ x + 81000 (1,021) ^ x
Rewriting:
R (x) = 9000 (7 (1,035) ^ x + 9 (1,021) ^ x)
Evaluating for 6 years:
R (6) = 9000 * (7 * (1,035) ^ 6 + 9 * (1,021) ^ 6)
R (6) = 169200 $
Answer:
The revenue generated by sales of the products after 6 years is:
R (x) = 9,000 [7 (1,035) x + 9 (1,021) x]; $ 169,200
User Bana
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories