Q1.

A company launched business App. For smart mobile phones, the users who installed the app. in 2014 were 142000 users, and they increase by 10% each succeeding year.

a) Determine the number of users in the year 2019.

b) If the company gains on average annual revenue of $ 20 per user, what is the total revenue gained until the end of the year 2020?

Q2.

Determine the interest rate per year, compounded quarterly, which is needed for a principal amount of $ 27,000 to increase to $ 43,995.75 in 8 years?

Q3.

The management of a manufacturing company has the following information:

Revenue function: R = 3600Q 25Q²

Profit-maximizing price is $ 2100.

a\ Using the above information, determine the following:

1. Profit-maximizing quantity.
2. Revenue-maximizing quantity.

b\ Suggest a cost function which results in a maximum profit value to be between $ (20000 and 60000), write the maximum profit value.