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Introduction

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This book supplements the theoretical principles already published in books [1.1].

It studies the issues that arise at various stages of functioning of the market and offers their solutions by using methods of the mass service theory. The application of the proposed mathematical methods enables rigorous calculations of the desired parameters.

At the initial stage of introduction of goods in the market arise questions.

1. The value of the demand for this product

2. Possible revenues.

3. The reliability of the repayment of the loan (in the case of receipt).

At the stage supply of batch of goods need consider the competition.

1. How affect, the behavior of market competitors (the increase of the supply of goods or their reduction).

2. The effect on the demand the appearance on the market of new competitors.

3. As the influence of external factors (disasters, weather, etc.).

4. The pricing policy. Interest rates, money supply.

5. Different properties of the market.

We are considering the properties of the market.


1 Number suppliers.


2. The uniformity of the delivered goods.


3. The dependence of demand on moment of time.


4. The discipline of service of goods – no accumulation of unsold goods or saving their in warehouses

5. Strategy of providers in case of overproduction

The solution of these questions we will consider in the following order.

1. First, we will analyze the proposed mathematical model, which will congestion, determination of the necessary number of buyers

2. We will define what is a product and enter the basic unit of measure that will allow us to analyze any goods.

3. Consider formulas that allow you to determine the characteristics of supply and demand for a given network.

4. Consider examples of solving problems for specific markets (for example, the calculation of the oil market, the prevention of market overload, determining the required number of buyers for a given percentage of losses).

Mathematics of the market. Problem book

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