aofsorular.com
MAT110U

MATHEMATICS II

3. Ünite
Soru 1
A certain item is supplied according to the rule

and its prices for an amount of

units is 65 TL. Compute the producer surplus for this market.

Soru 2
A certain item is supplied according to the rule

and its prices for an amount of

units is 65TL. Compute the expected income.

Soru 3
Calculate the Gini index for the Lorenz function

Soru 4
Calculate the Gini index for the Lorenz function

Soru 5
If the marginal revenue for selling x units of a product is defined by

Soru 6
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 20 units?

Soru 7
The supply curve of a certain product is given by

What is the producer surplus when 7 units of this product are sold?

Soru 8
The supply curve of a certain product is given by

What is the producer surplus when 40 units of this product are sold?

Soru 9
Suppose that a company manufactures a certain type of machine, and it estimates that each machine will generate a continuous income stream whose rate in the th year of operation will be 15 −  2t  million TL per year. Assuming that the lifetime of a machine is about 7 years and that the money can be invested at the annual rate of 8%, compounded continuously, find the fair market price of each machine.
Soru 10
If you plan to deposit 1200 TL per year continuously into an account that pays 6% annual interest compounded continuously, what would be the amount in the account at the end of 10 years?
Soru 11
A White goods company produces refrigerators at a number of 

units with a marginal cost

If it costs 11200 to produce 10 units of refrigerators, what is the fixed cost?

Soru 12
Marginal revenue that is obtained from the sale of a product

is given by

If the fixed cost is 326 TL, how many units of

is sold to gain 750 TL?

Soru 13
What is the total profit earned over the period from 5th to 10th years, if the marginal profit is

in millions of TL per year?

Soru 14
A consumer is willing to pay 150000 for a new certain model of car of which demand function is

If this consumer is able to buy this car for a price 145.500, then what is the consumer surplus?

Soru 15
In a certain market, demand function is given by

and supply function is

for a certain product. What is the equilibrium point?

Soru 16
A type of toy is supplied according to the rule

and

units of this toy are sold at a price of 79 TL. What is the produces surplus?

Soru 17
Considering the toy mentioned above question supplied according to the rule

what is the expected income?

Soru 18
What is the Gini index for the Lorenz function 

Soru 19
Distribution of income of a country is given by the Lorenz curve

What is the Gini index of this country?

Soru 20
A company expects its income during the next 5 years to be modelled by

Assuming an annual inflation rate of 12% what is the present value of this income?