MAT110U
MATHEMATICS II
3. Ünite
Soru 1
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 2
The supply curve of a certain product is given by
. What is the producer surplus when 30 units of this product are sold?
Soru 3
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 4
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 5
A country’s distribution of income is defined by the Lorenz curve
What is the Gini index of this country?
Soru 6
If the supply function of a certain commodity is given by
, what is the producer surplus when the price is 13 TL?
Soru 7
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 8
What is the present value of a continuous income stream at %2 compounded for 4 years if the rate of flow is
Soru 9
What is the future value at %25 compounded continuously for 4 years for the continuous income stream with a constant rate of flow
Soru 10
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 11
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 12
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 13
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 14
Which of the following features about Lorenz function is false?
Soru 15
What is the Gini index for the Lorenz function L(x)=?
Soru 16
- 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 17
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?
Soru 18
Which of the following options is indicated by a demand curve?
Soru 19
"Integration is finding the antiderivative of a given function"
According to explanation above, which of the following options indicates integrating the marginal cost function with respect to x?
Soru 20
"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?