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Two duopolists produce and quantities of a homogenous product . The market demand of the product is given by Q= 240-2p where Q= Qa +Qb and the price of the product. The total functions of the duopolists are given by: C(Qa)= 60+4Qa and C(Qb)= 50+0.625Qb^2



a) Find the level of output that maximizes the profit of each firm and the corresponding profit



and price.



b) Find the level of output that maximizes their profit if the two firms corporate and the



corresponding profit and price


Joseph paid 6% commission to the real estate agent who sold his house for 159 000.00. How much commission did Joseph pay?


Payment of 700.00 every month for one (1) year that will start at the end of the third month. What is the period of deferral?


When invested at an annual interest rate of 7% the amount earned P11,200 of simple interest in 2 years. How much money was originally invested?

Two duopolists produce and quantities of a homogenous product . The market demand of the product is given by Q= 240-2p where Q= Qa +Qb and the price of the product. The total functions of the duopolists are given by: C(Qa)= 60+4Qa and C(Qb)= 50+0.625Qb^2


a) Find the level of output that maximizes the profit of each firm and the corresponding profit


and price.


b) Find the level of output that maximizes their profit if the two firms corporate and the


corresponding profit and price.


annual payment php 2,000.00 at the end of each term for 5 years with interest rate of 7.5% compounded quarterly.find the present and the future value

1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.


2. John deposit 5,000 pesos in a bank paying 12 % compounded quarterly. After 4 year's, john decided to close her account. How much money would she be able to get from the bank?




What is the present value of an annuity if the size of each payment is Birr 100 payable at theĀ 

end of each quarter for 2 years and the interest rate is 8% compounded quarterly?


Semi-annual payment of 12,000.00 for twelve (12) years that will start from now. What is the period of deferral?


Payment of 400.00 every 5 months for 3 years that start at the end of 5 years. What is the period of deferral?


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