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

Define sampling unit , Define sampling unit and population for selecting a ...

Define sampling unit and population for selecting a random sample in every case. a) 100 voters from a constituency b) 20 stocks of National Stock Exchange c) 50 account ho

Principles of data analysis, For the data analysis project, you will addres...

For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class.   You choose the questions; you decide h

Different analyses of recurrent events data, Different analyses of recurren...

Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to  illustrate different anal

Find the mean and standard deviation, Problem : A company supplying ele...

Problem : A company supplying electrical products, places a rush order for electric wires. Consignments of wires are to be sent immediately when they are available. Previous

Uses of arthematic mean, give me question on mean is the aimplest average t...

give me question on mean is the aimplest average to understand and easy to compute

Index number, "index number is an economic barometer" comment on this state...

"index number is an economic barometer" comment on this statement

Data project, Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel...

Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below.

Find the relation between two substance, Find the Relation between two subs...

Find the Relation between two substance: The following table shows the results obtained in experiments aimed to determine how solubility of water in benzene depends on tempera

Find the probability that a lift will weigh, Lifts usually have signs indic...

Lifts usually have signs indicating their maximum capacity. Consider a sign in a lift that reads "maximum capacity 1400kg or 20 persons". Suppose that the weights of lift-users are

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