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

A new weight-watching company, A new weight-watching company, Weight Reduce...

A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2

Construct a cumulative percentage polygon, 1. For each of the following var...

1. For each of the following variables: major, graduate GPA, and height: a. Determine whether the variable is categorical or numerical. b. If the variable is numerical, deter

Determine the closed loop speed transfer function, In the case of permanent...

In the case of permanent magnet DC motor whose stator consists of a permanent magnet we can take the field current to be constant (i.e. a constant magnetic field) and it can be sho

E-mail messages should be answered quickly, Do people of different age grou...

Do people of different age groups differ in their response to e-mail messages? A survey by the Cent of the Digital Future of the University of Southern California reported that 70.

Non-sampling errors, Statistics Can Lead to Errors The use of st...

Statistics Can Lead to Errors The use of statistics can often lead to wrong conclusions or wrong estimates. For example, we may want to find out the average savings by i

Problem set for logistic regression, (1) What values can the response varia...

(1) What values can the response variable Y take in logistic regression, and hence what statistical distribution does Y follow? The response variable can take the value of either

Calculate unbiased estimate of the variance, This question has two parts wi...

This question has two parts with multiple items to answer. You are a psychologist who has collected the subjective well-being scores of a number of elderly people aged 90 or abo

Measures of dispersion, Other Measures of Dispersion In this section, ...

Other Measures of Dispersion In this section, we look at relatively less used measures of dispersion like fractiles, deciles, percentiles, quartiles, interquartile range and f

Analysis of variance (anova), Analysis of variance allows us to test whethe...

Analysis of variance allows us to test whether the differences among more than two sample means are significant or not. This technique overcomes the drawback of the method used in

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