Ünite Sınavı Soruları

Calculate the Gini index for the following Lorenz function

Assume that marginal cost function for product x is given by MC=12x+2. What will be the total cost function if the total cost of producing the first product is 28.

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?

A textile company is faced with the demand function D(t)=(t+7)²+90 for their product of sweat. If consumers are willing to buy 5 unites of this sweat, what is the total utility of maximum price?

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

Records indicate that t months after the beginning of the year, the price of rice in ANADOLU-market was

. What was the average price of rice during the first 3 months of the year?

The supply curve of a certain product is given by

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

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

. What is the Gini index of this country?

Rüya has a budget of 46000tl for a car where she able to buy the model she want for a price of 40000tl. If the demand function for a car is given buy D(q)=46000-15q² , what is the consumer surplus?

The supply curve of certain product is given by What is the producer surplus when units of this product are sold?

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?

Calculate the Gini index for the Lorenz function

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?

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?

1. One important use of calculus in business and economics is marginal analysis.
2. Marginal cost, marginal revenue and marginal profit all involve the rates of change of the profit, revenue and cost with respect to the number of units of a certain commodity produced or sold.
3. Marginal cost, marginal revenue and marginal profit are defined to be the first derivative of a “total function”.
4. Since integration is finding the antiderivative of a given function, i.e. finding the function whose derivative is given the total functions may be found without much difficulty by integrating the marginal functions.

Which of the statements above related to derivation of total function from marginal function are correct?

1. 0 ≤ L(x) ≤ 1: because L(x) corresponds to a percentage
2. L(0) = 0: because no income is earned when no one is employed
3. L(1) = 1: because 100% of the income is earned by 100% of the people
4. L(x) ≤ x : because the lowest-paid 100x% of people cannot receive more than 100x% of total income

The Lorentz curve has which of the properties above?

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?

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?