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 OMR 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 OMR 27,000 to increase to OMR 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 OMR 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 OMR (20000 and 60000), write the maximum profit value.