MAT110U
MATHEMATICS II - Deneme Sınavı - 2
Ara Sınav
51867
Soru 1
According to the graph of the function f given under, what is the value of the integral 
Soru 2
Which of the following is the mean value of the function
between x=0 and x=3?
Soru 3
What is the area under the graph of
on the interval
Soru 4
If the marginal revenue for selling x units of a product is defined by
What is the total revenue if the sale increases from 10 units to 20 units?
Soru 5
The supply curve of a certain product is given by
. What is the producer surplus when 30 units of this product are sold?
Soru 6
The demand curve of a certain product is given by 
What is the consumer surplus when 16 units of this consume are sold?
What is the consumer surplus when 16 units of this consume are sold?
Soru 7
A car manufacturer AAA will launch its new model vehicle. The production rate of the new model, after t weeks, is given by the function 
where x denotes the quantity of cars produced. How many cars will be produced from the beginning of the first week to the end of the third week?
where x denotes the quantity of cars produced. How many cars will be produced from the beginning of the first week to the end of the third week?
Soru 8
A country’s distribution of income is defined by the Lorenz curve
What is the Gini index of this country?
Soru 9
If the supply function of a certain commodity is given by
, what is the producer surplus when the price is 13 TL?
Soru 10
Records indicate that t months after the beginning of the year, the price of rice in ANADOLU-market was
. What was the average price of rice during the first 3 months of the year?
Soru 11
What is the present value of a continuous income stream at %2 compounded for 4 years if the rate of flow is
Soru 12
What is the future value at %25 compounded continuously for 4 years for the continuous income stream with a constant rate of flow
Soru 13
The Lorenz curve for the distribution of income in a certain country in 1974 is given in the above figure. What is the Gini index for this model?
Soru 14
A textile company is faced with the demand function D(t)=(t+7)2+90 for their product of sweat. If consumers are willing to buy 5 unites of this sweat, what is the total utility of maximum price?
Soru 15
Rüya has a budget of 46000tl for a car where she able to buy the model she want for a price of 40000tl. If the demand function for a car is given buy D(q)=46000-15q2 , what is the consumer surplus?
Soru 16
A certain item is supplied according to the rule S(q)=and its prices for an amount of units is 130 tl. What is the expected income?
Soru 17
Which of the following features about Lorenz function is false?
Soru 18
What is the Gini index for the Lorenz function L(x)=?
Soru 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?
Soru 20
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?
