MATHEMATICS II - Deneme Sınavı - 6

Calculate the Gini index for the following Lorenz function

Calculate the Gini index for the following Lorenz function

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?

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?

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?

A certain item is supplied according to the rule

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

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?

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?

The supply curve of a certain product is given by

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

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?

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

What is the Gini index of this country?

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?

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?

If the supply function of a certain commodity is given by

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

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?

Solve the following ODE (ordinary differential equation)

Solve the following ODE (ordinary differential equation)

Solve the following ODE (ordinary differential equation)

Consider the following ODE subject to an initial condition

Consider the following ODE subject to an initial condition

subject to an initial condition  y(1)=5, C=?