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MAT110U

MATHEMATICS II

3. Ünite
Soru 1
The supply curve of certain product is given by What is the producer surplus when units of this product are sold?
Soru 2
Demand function of a commodity is given by  p=41-x2 where x and p denote quantity and price, respectively. What is the consumer surplus at the price 5 ?
Soru 3
What is the future value at %20 compounded continuously for 3 years for the continuous income stream with a constant rate of flow f(t)=1200 ?
Soru 4
A famous shoe company will launch a new shoes model. The production rate of the new model, after weeks, is given by the function 

where x denotes the quantity of shoes produced. How many shoes will be produced from the beginning of the first week to the end of the third week?

Soru 5
The Lorenz curve for the distribution of income in a certain country is defined by

What is the Gini index of this country?

Soru 6
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.
Soru 7
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?
Soru 8
Records indicate that t monhts after the beginning of the year, the price of gum in a certain market was

What was the average price of gum during the first 3 months?

Soru 9
Which of the following is the Gini index for the given Lorenz curve 

Soru 10
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 11
A country’s distribution of income is defined by the Lorenz curve

. What is the Gini index of this country?

Soru 12
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?

Soru 13
If the marjinal revenue for selling   units of a product is defined by

what is the total revenue if the sale increases  from 5 units to 10 units?

Soru 14
An instrument producer firm will launch a new piano model. The production rate of the new model , after  weeks is given by the function

Where  denotes  the quantity of piano produced. How many pianos will be produced from the beginning of the first week to the end third week?

Soru 15
Suppose the market for wheat is described by the graph below, where the supply is 

and the demand is

what is the consumer surplus for this model?

Soru 16
The supply curve of a certain product is given by

what is the producer surplus when  10 units of this product are sold?

Soru 17
What is the present value of a continuous income stream at

compounded for 15  years if the rate of flow is

Soru 18
What is the future  value at

compounded continuously  for 5 years for the continuous income stream with a constant  rate of flow

Soru 19
If the supply function of a certain commodity is given by

what is the producer surplus  when the price

Soru 20
Records indicate  that

months after the beginning of the year, the price of local milk  in market was  

What  was the average price of local  milk during the first   4 months  of the year?