# 数学代写|最优化理论作业代写optimization theory代考|ISE520

## 数学代写|最优化理论作业代写optimization theory代考|Research into the structure of the market on the basis

An oligopoly is a market structure dominated by a small number of sellers. The fact that the cost of sales and production and other productive and economic parameters differ in size is characteristic of an oligopoly. We will reflect these in the mathematical market model. The construction of a numerical model of an oligopoly will be represented in accordance with the basic model (9.7.1)-(9.7.5).

What is given. Let’s enter the designations specifying the model (9.7.1)$(9.7 .5)$
$c_1=c_2=50, c_3=c_4=60$ are product prices for the first and second manufacturer accordingly;
$a_1=a_2=40, a_3=a_4=50$ are the expenses of manufacturing a product (for both manufacturers).
$p_1=p_2=p_3=p_4=\left(c_j-a_j\right)=10$ is profit achieved from the production and sale of a product;
$b_l^{\min }=3500, b_l^{\max }=5000, l=1,2 ; b_q=5000, q=1,2$.
Construct an optimization model of the market and calculate the volume of demand and supply.

Creating a mathematical model of the market. A market model with two producers and two consumers (model $2 * 2$ ) with the entered parameters in the form of a vector problem in linear programming is represented as follows:

Solving a vector task (9.9.1)-(9.9.5) on the basis of the normalization of criteria and the principle of a guaranteed result will be presented in the form of a sequence of steps.

## 数学代写|最优化理论作业代写optimization theory代考|Creating the model and simulating a monophony market

A monophony is a market structure in which one consumer and a great number of producers of a product functions. To analyse a monophony we will consider the basic model (9.7.1)-(9.7.5) with the simplest situation, where two producers and one consumer operate in the market with one product (two modifications), though the model allows us to analyse larger numbers/volumes.

What is given. The numerical data are similar to the model of an oligopoly, presented in the form of a vector problem (9.9.1)-(9.9.5). But in this problem there will be one producer releasing two products.
Let’s enter the designations specifying the model (9.7.1)-(9.7.5): $c_1=c_2=50, c_3=c_4=60$ are the prices for the product from one manufacturer;
$a_1=a_2=40, a_3=a_4=50$ are the expenses of manufacturing the product (for both manufacturers).
$p_1=p_2=p_3=p_4=\left(c_j-a_j\right)=10$ is the profit from the production and sale of the product;

Construct an optimizing market model of a monophony and calculate the volume of the demand offer: 1) with equivalent criteria; 2) prioritizing consumers; and 3) prioritizing the producer.

Decision. Create a mathematical market model of a monophony. We will present a monophony market model with two producers and one consumer in the form of a vector problem in linear programming, as follows:

# 最优化理论代考

## 数学代写|最优化理论作业代写optimization theory代考|Research into the structure of the market on the basis

㝜头垄断是由少数卖家主导的市场结构。销售和生产成本以及其他生产和经济参数大小不同的事实是寡 头玤断的特征。我们将在数学市场模型中反映这些。窜头垄断数值模型的构建将按照基本模型 (9.7.1) (9.7.5) 表示。

$c_1=c_2=50, c_3=c_4=60$ 相应地是第一和第二制造商的产品价格；
$a_1=a_2=40, a_3=a_4=50$ 是制造产品的艴用（对于两个制造商）。
$p_1=p_2=p_3=p_4=\left(c_j-a_j\right)=10$ 是从产品的生产和销售中获得的利润;
$b_l^{\min }=3500, b_l^{\max }=5000, l=1,2 ; b_q=5000, q=1,2$.

## 数学代写|最优化理论作业代写optimization theory代考|Creating the model and simulating a monophony market

$p_1=p_2=p_3=p_4=\left(c_j-a_j\right)=10$ 是产品生产和销售的利润;

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