Simulation - analytical approach, Applied Statistics

Assignment Help:

Analytical Approach

We will illustrate this through an example.

Example 1

A firm sells a product in a market with a few competitors. The average price charged by the competitors is Rs.10. The firm can follow any one of the pricing policies given below:

  1. Match the competition price at Rs.10

  2. Price two rupees above the competition at Rs.12

  3. Price two rupees below the competition at Rs.8.

The firm knows the quantities it can sell at these prices:

Price (Rs.)

Quantity (Nos.)

  8

10

12

15,000

10,000

  7,500

The total cost of production is as below:

Quantity

Cost (Rs.)

15,000

10,000

  7,500

95,000

80,000

75,000                                          

To find out the price that the firm should charge, we must first determine the objective of the firm. Let us assume that the objective of the firm is to maximize profits. (The firm could easily have other objectives - to price the product always below the competitor's price in which case Rs.8 would be chosen or to price the product always above the competitors' price so that a higher price can be used to create the impression of a better quality in the minds of the consumers. In the latter case Rs.12 would be chosen).

To find out the price which would maximize the profits, we construct the following table:

Price (Rs.)

Sales Quantity (Nos.)

Sales Value

Cost (Rs.)

Profit (Rs.)


  8

15,000

1,20,000

95,000

25,000

10

10,000

1,00,000

80,000

20,000

12

   7,500

   90,000

75,000

15,000

We thus find that the profits are maximized at the price of Rs.8 per unit, and therefore this price should be chosen.

Though the analytical approach is quite simple and intuitive, it may not be possible to adopt this in all decision making situations. In reality, information regarding the average price charged by the competitors may not be available or may be dependent upon the price charged by the firm as the competitors may react to every change effected by the firm. The information regarding the exact quantities that can be sold at different prices may not be available or only a possible range of quantities may be known. Similarly, the cost of producing different quantities may not be exactly known.

 


Related Discussions:- Simulation - analytical approach

Data analysis, #quesgraphical representation of data

#quesgraphical representation of data

Simulation - analytical approach, Analytical Approach We will illustra...

Analytical Approach We will illustrate this through an example. Example 1 A firm sells a product in a market with a few competitors. The average price charged by the

Calculate mean and standard deviation, Select and generate your assignment ...

Select and generate your assignment portfolio. The S&P/ASX 200 index is comprised of several sub-indices, including the following: 0) XPJ: The S&P/ASX 200 A-REIT Index 1) XDJ

Advantages of sampling, Advantages of Sampling Why should we settle on ...

Advantages of Sampling Why should we settle on a sample instead of studying the entire population?  Sampling has the following advantages over a census (study of the entire pop

Transformation of data, PCA is a linear transformation that transforms the ...

PCA is a linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data comes to lie on the first coordinat

Iterative convergence of the method, You are given the differential equatio...

You are given the differential equation dy/dx = y' = f(x, y) with initial condition y(0 ) 1 = . The following numerical method is also given: where  f n = f( x n , y n )

Simple linear regression, For each of the following situations choose the s...

For each of the following situations choose the statistical model that you find to be the most appropriate. Justify your choice. a) We are interested in assessing the effects of

Solve the normal distribution problem, Assume that the normal distribution ...

Assume that the normal distribution applies and find the critical z value(s). A = 0.04; H1 is mean ≠ 98.6 degrees Fahrenheit. Dteremine the value of Z. Find the value of the

Theoretical yield and actual yield, Write down the symbols and unit for the...

Write down the symbols and unit for the following: mass, molar mass, molar and molarity Write down the relationship between mass and molar mass and show that the units match.

Multiple regression analysis, Complete the multiple regression model using ...

Complete the multiple regression model using Y and your combined X variables.  State the equation.  Next, make sure that you evaluate overall model performance with the Anova table

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd