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

Types of correlation, Type of Correlation 1.      Positive and Negat...

Type of Correlation 1.      Positive and Negative Correlation: 2.      Simple Partial and Multiple Correlations. 3.      Linear and  Non linear or Correlations

Calculation of degrees of freedom, Calculation of Degrees of Freedom Fi...

Calculation of Degrees of Freedom First we look at how to calculate the number of DOF for the numerator. In the numerator since we calculate the variance from the sample means,

Evaluation tracking system, BCBSRI was able to reduce MSD related Workers C...

BCBSRI was able to reduce MSD related Workers Compensation cases with lost workdays by implementing a New Ergonomic Program in March 2000 and increasing workstation evaluations. Ex

LINEAR PROGRAMMING FOR SOLVNG INEQUALITIES, To use Linear Programming for s...

To use Linear Programming for solving the following inequalities. Following Twin Conditions (as mandated by the Indian Regulatory Authority) Twin Condition I for TV Broadcasters

Research tool, what are the characteristics of research tool?

what are the characteristics of research tool?

Liner programming , Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0

Bernoulli''s theorem, Bernoulli's Theorem If a trial of an experiment c...

Bernoulli's Theorem If a trial of an experiment can result in success  with probability p and failure with probability q (i.e.1-p) the probability of exactly r success in n tri

Multivariate analysis, Multivariate analysis involves a set of techniques t...

Multivariate analysis involves a set of techniques to analyse data sets on more than one variable. Many of these techniques are modern and often involve quite sophisticated use of

Scatter diagram - correlation analysis, Scatter Diagram The first step ...

Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value

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