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

Box plots, This box plot displays the diversity wfood; the data ranges from...

This box plot displays the diversity wfood; the data ranges from 0.05710 being the minimum value and 0.78900 being the maximum value. The box plot is slightly positively skewed at

Agreement, Agreement The degree to which different observers, raters or ...

Agreement The degree to which different observers, raters or diagnostic the tests agree on the binary classification. Measures of agreement like that of the kappa coefficient qu

Penman-monteith method, (a) Average rainfall during the month of January...

(a) Average rainfall during the month of January is found to be 58 mm. A Class A pan evaporation recorded an average of 8.12 mm/day near an irrigation reservoir. The average

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

Draw a cumulative frequency polygon, The following data give the repair cos...

The following data give the repair costs (in RM) for 30 randomly selected cars from a list of cars involved in collisions. a)  By using RM 1 as the lower limit of the first

Compute the standard deviation, Let X, Y, and Z refer to the three random v...

Let X, Y, and Z refer to the three random variables. It is known that Var(X) = 4, Var(Y) = 9, and Var(Z) = 16. It is further known that E(X) = 1, E(Y) = 2, and E(Z) = 4. Furthermor

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

Simple linear regression model, The data le for this assignment is brain-b...

The data le for this assignment is brain-body-wts.txt, which lists the averages brain weights (gm) and body weights (kg) for a number of animal species. Your task is to t an appr

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 )

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