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MAT110U

MATHEMATICS II - Deneme Sınavı - 8

Ara Sınav 51861
Soru 1
Evaluate the integral

Soru 2
Evaluate the integral

Soru 3
Evaluate the integral

Soru 4
Evaluate the integral

Soru 5
Evaluate the integral

Soru 6
Evaluate the integral

Soru 7
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 8
A certain item is supplied according to the rule

and its prices for an amount of

units is 65TL. Compute the expected income.

Soru 9
Calculate the Gini index for the Lorenz function

Soru 10
Calculate the Gini index for the Lorenz function

Soru 11
If the marginal revenue for selling x units of a product is defined by

Soru 12
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 13
The supply curve of a certain product is given by

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

Soru 14
The supply curve of a certain product is given by

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

Soru 15
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 16
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 17
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 18
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 19
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 20
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?