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MAT110U

MATHEMATICS II

3. Ünite
Soru 1
A unit change in the production cost of a computer produced at a number of x units is given by C' (x) = 

If the number of computers to be produced increases from 100 to 300, find the increase in the total cost?

Soru 2
A unit change in the production cost of a house built at a number of x units is given by C' (x) =

If the number of houses to be built increases from 2 to 4, find the increase in the total cost

Soru 3
A unit change in the production cost of a item produce at a number of x units is given by C' (x) = 10x + 2000. If the number of items to be produce increases from 10 to 20, find the increase in the total cost
Soru 4
Calculate the Gini index for the following Lorenz function

Soru 5
Calculate the Gini index for the following Lorenz function

Soru 6
Calculate the Gini index for the following Lorenz function

Soru 7
Money transferred continuously into an account at the constant rate of 1800 TL per year. The account earns interest at an annual rate of 10% compounded continuously. How much money will there be in the account at the end of 2 years?
Soru 8
Money transferred continuously into an account at the constant rate of 2000 TL per year. The account earns interest at an annual rate of 10% compounded continuously. How much money will there be in the account at the end of 4 years?
Soru 9
A certain item is supplied according to the rule

and its prices for an amount of q0 units is 56TL. Compute the producer surplus for this market?

Soru 10
A certain item is supplied according to the rule

and its prices for an amount of q0 units is 56TL. Compute the expected income?

Soru 11
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 12
A company will launch a new mobile phone. The production rate of the new model, after t weeks, is given by the function

where x denotes the quantity of mobile phones produced. At most how many phones will be produced from the second week to the end of the fifth week?

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

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

Soru 14
Suppose the market for grain is described by the given equations S(q) and D(q), where the supply is

and the demand is

What is the consumer surplus for this model?

Soru 15
A country’s distribution of income is defined by the curve

What is the Gini index of this country?

Soru 16
If the marginal revenue for selling x units of a product is defined by

What is the total revenue if the sale increases form 15 units to 30 units?

Soru 17
What is the present value of a continuous income stream at %5 compounded for 20 years if the rate of flow is

Soru 18
What is the future value at %15 compounded continuously for 3 years for the continuous income stream with a constant rate of flow f (t) = 3500?
Soru 19
If the supply function of a certain commodity is given by

what is the producer surplus when the price is 9TL ?

Soru 20
Records indicate that t months after the beginning of the year, the price of local cheese in BIM-market was

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