Mathematıcs II (ENG)
Ünite Sınavı Soruları
- 20 soru
- Soru metinleri açık; şıklar ve cevap anahtarı uygulamada
- 1
If the marginal revenue for selling x units of a product is defined by

- 2
- One of the most commonly used method to measure the distribution of income is the Lorenz curve.
- Developed in 1906 by Max Lorenz, the Lorenz curve is a graphical representation of the distribution of wealth, or of income.
- To construct the Lorenz curve, first, people in society or the households are sorted from the lowest income group to the highest.
- Then, the total portion received from the total income by a number of a group at an arbitrary income level or lower is calculated.
- If this process is repeated for each income level, the graph of the curve can be constructed, the function y = L(x) which is referred to this curve is called the Lorenz Function.
Which of the statements above related to the Lorentz curve are correct?
- 3
If the marginal profit (in millions of TL per year) is given by,
P'(t)=6t2-t+4, find the total profit earned over the first 4 years. - 4
Which of the following features about Lorenz function is false?
- 5
What is the present value of a continuous income stream at

compounded for 15 years if the rate of flow is

- 6
"In a certain market, if a producer who is willing to sell a product at a certain price may sell the product higher than the price he asks, then he has increased his revenue."
According to explanation above, which of the following options is called as this extra amount gained?
- 7
The supply curve of a certain product is given by

. What is the producer surplus when 30 units of this product are sold?
- 8
The Lorenz curve for the distribution of income in a certain country is defined by

What is the Gini index of this country?
- 9
Calculate the Gini index for the Lorenz function

- 10
- The notions of indefinite and definite integrals both of which have widespread applications in economics.
- In marginal analysis, the quantities are differentiated to obtain the rate of their changes.
- Using the integral we may acquire the totality of the functions such as cost, revenue, profit and so on.
- Integration may be used to calculate the total income during a given period from a continuous income stream, the consumer and producer surplus, and present and future values of a continuous stream of payments, to name but a few.
Which of the statements above related to the applications of integral in economics are correct?
- 11
A certain item is supplied according to the rule

and its prices for an amount of q0 units is 56TL. Compute the expected income?
- 12
The management of a national change of market outlets is selling a 10 year franchise in Turkey. Past experience in similar localities suggest that t years from now the franchise will be generating profit at the rate of f (t) = 18000 TL per year. If the prevailing annual interest rate remains fixed at 10% compounded continuously, what is the present value of the franchise?
- 13
What is the Gini index for the Lorenz function

- 14
A country’s distribution of income is defined by the Lorenz curve

What is the Gini index of this country?
- 15
Money transferred continuously into an account at the constant rate of 2000 TL per year. The account earns interest at an annual rate of 10% compounded continuously. How much money will there be in the account at the end of 4 years?
- 16
The marginal revenue obtained from the sale of product Z is given by R'(x)=2x-24. If the fixed cost is 180TL, how many units Z should be sold to gain 36TL?
- 17
The Lorenz curve for the distribution of income in a certain country in 1986 is given in Figure. What is the Gini index for this mode?

- 18
Calculate the Gini index for the following Lorenz function

- 19
- A company expects its income during the next 5 years to be modelled by the function I(t)=200000+50000t. Assuming an annual inflation rate of 20%, what is the present value of income?
- 20
Considering the toy mentioned above question supplied according to the rule

what is the expected income?