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mth202 solution

Thursday, May 13, 2010 Posted In Edit This

Assignment No 2

MTH202

 

Question 1: (a) Express the given information through Venn diagram.

In a high school students attended the Annual sports week, they are free to participate any of the following games: Swimming, Badminton and Hurdle race.  

(i)         13 students participated in all of these games.

(ii)        36 students participated in Swimming and Badminton but not in Hurdle Race.

(iii)       28 students participated in Badminton and Hurdle Race.

(iv)       15 students participated in Swimming and Hurdle Race but not in Badminton.

Solution:

Suppose that S stands for Swimming.

B for Badminton and H for Hurdle Race.

   Venn diagram for the given instructions is as follows:

(b) Construct Membership Table of the following

(i) Students participating in swimming or badminton.

(ii) Students participating in swimming and badminton.

 

 

(I) Students participating in swimming or badminton.

 

S

B

SB

1

1

1

1

0

1

0

1

1

0

0

0

 

 

(II) Students participating in swimming and badminton.

 

S

B

SB

1

1

1

1

0

0

0

1

0

0

0

0


Question 2: Let A = {a, b, c, d} be a set and a relation R is defined on A as follows:

R = {(a, b), (c, b), (d, b), (a, d), (b, b), (b, a), (d, a), (b, c), (c, c), (b, d), (d, d)}

(i)         Construct the Directed Graph.

(ii)        Is R Reflexive, Symmetric and Transitive? Justify your answer with the help of                Directed graph.

(iii)       Show its Matrix Representation.

    

(I) Directed graph of the relation R is as follows:

(ii)                Is R Reflexive, Symmetric and Transitive? Justify your answer with the help of          Directed graph.

 

R is not reflexive because (a, a) is not present in R.

 

It is symmetric. We can check its condition through the graph shown above that whenever there is an arrow going from one point to a second there is an arrow going back from second to first.

 

It is not transitive because (a, b) is present and (b, c) is also present but (a, c) is not present and vice versa.

 

 

 

 

 

 

     

(iii)               Show its Matrix Representation.

 

 

 

fin621 solution

Thursday, May 13, 2010 Posted In Edit This

Financial Statement Analysis

ABC Ltd

Balance Sheet as on Dated 31.12.2007

___________________________________________________________________________

                        Liabilities                                                                     Assets

___________________________________________________________________________

                                                Amount                                                                        Amount

Capital                                         80,000                      Fixed Assets                           

Retained Earnings                    1,90,000                        Plant & Equipments                 3,00,000

 

Long Term Liabilities                                                   Long Term Deposits

Bonds                                      2,50,000                        Marketable Securities                   20,000

 

Current Liabilities                                                        Current Assets

Accounts Payable                    75,000                          Cash                                            25,000

Outstanding Expenses             30,000                          Account Receivable                  1,60,000

                                                                                    Stocks (Inventory)                    1,20,000

           

Total:                                       6,25,000                                                                        6,25,000                       

 

 

 

ABC Ltd

Balance Sheet as on Dated 31.12.2008

___________________________________________________________________________

                        Liabilities                                                                     Assets

___________________________________________________________________________

                                    Notes     Amount                                                          Notes   Amount

Capital                                         80,000                      Fixed Assets                           

Retained Earnings        1          2,45,000                        Plant & Equipments     2          3,20,000

                                                                                                              

 

Long Term Liabilities                                                   Long Term Deposits

Bonds Payable                         175,000             Marketable Securities   3             12,500

Notes Payable                            35,000

 

Current Liabilities                                                        Current Assets

Accounts Payable                    80,000             Cash                                            22,500

Accrued Expense                     22,500             Account Receivable                  1,65,000

                                                                                    Stocks (Inventory)                    1,17,500           

                                               

Total:                                     6,37,500                                                              6,37,500           


Notes   1

Retained earnings (2007)           190,000

Net Income (2008)                     125,000

Dividend paid   (2008)                 (70,000)

                                                  245,000

Notes 2

Additional Plant purchase        50,000

Cash Paid                                15,000

For remaining amount             35,000

issued Notes Payable for 5 years

Note 3

Marketable Securities               20,000

Sold in  2008                             7,500

                                                12,500

 

 

 

 

 

 

 

ABC Ltd.

Cash Flow Statement for the year Ended 31.12.2008

 

                                                                        Notes   Rs.’000

Net Income                                                                   125,000

Adjustment of Non Cash Items

            Depreciation                                                       30,000

                                                                                    155,000

Less: Other Income                                          1          (10,000)          

Operating Profit Before working capital changes          145,000

Working Capital Changes

            Reduction in stock                                               2,500

            Increase in Accounts Receivable                         (5,000)

            Increase in Accounts Payable                               5,000

            Decrease in outstanding expenses                      (7,500)

            Proceeds of Sale of Security                1             7,500

                                                                                        2,500          

Net Cash Flow from Operating activities                       147,500

Cash Flow from investing activities

            Purchase of Fixed assets (Plant)          2          (15,000)

            Receipts from sales of security                          10,000

Net Cash Flow from Investing activities                           (5,000)

Cash Flow from financing activities

            Dividend Paid                                                  (70,000)

            Decrease in Long Term Borrowings                 (75,000)

Net Cash Flow from Financing activities                      (145,000)

Net Increase / (Decrease) in Cash & Cash

Equivalents during the Year                                             (2,500)

O/B of Cash and Cash Equivalents                                   25,000

C/B of Cash and Cash Equivalents                                   22,500

           

 

Notes 1

Marketable Securities                  Account Code…………

Particulars

Amount Dr. (Rs.)

Particulars

Amount Cr. (Rs.)

O/B

To Proceeds of Sales of Security

20,000

 

10,000

By Cash

 

C/B

17,500

 

12,500

Total:

30,000

 

30,000

 

Notes 2

Plant & Equipment (WDV)                    Account Code…………

Particulars

Amount Dr. (Rs.)

Particulars

Amount Cr. (Rs.)

O/B

To Cash

To Notes Payable

300,000

  15,000

  35,000

By Depreciation

 

C/B

   30,000

 

320,000

Total:

300,000

 

300,000

 

Brand Management Quiz

Thursday, May 13, 2010 Posted In Edit This

Quiz Start Time: 10:46 PM    Time Left    76

sec(s)    

 

 

Question # 1 of 15 ( Start time: 10:46:18 PM )    Total Marks: 1

___________ is done which is all about drawing comparisons with competition while in developing a brand based customer model.

 Select correct option:

 

 

 

Pricing

 

Rating

 

Market analysis

 

Porter’s analysis

 

Question # 2 of 15 ( Start time: 10:47:17 PM ) Total Marks: 1

Strategic objectives deal with:

 Select correct option:

 

Staging innovations

 

Share value appreciation

 

Earnings per share

 

Revenue growth

Question # 2 of 15 ( Start time: 10:47:17 PM ) Total Marks: 1

Strategic objectives deal with:

 Select correct option:

 

Staging innovations

 

Share value appreciation

 

Earnings per share

 

Revenue growth

uiz Start Time: 10:46 PM    Time Left    77

sec(s)    

 

 

Question # 4 of 15 ( Start time: 10:48:32 PM )    Total Marks: 1

The changing market necessitates that managers must see the impact of all EXCEPT:

 Select correct option:

 

 

 

Technologies

 

Lifestyles

 

Product line

 

Benchmarks of quality

 

Question # 5 of 15 ( Start time: 10:49:14 PM ) Total Marks: 1

Brand vision fulfills a basic purpose that is:

 Select correct option:

 

Consensus among management

 

Commits Company to research

 

Mandates telling all stakeholders

 

All of the given options

uestion # 6 of 15 ( Start time: 10:49:57 PM ) Total Marks: 1

Which of the following has to generate revenues, profits and net earning, whether establish through organic growth or acquisition.

 Select correct option:

 

Brand management

 

Brand

 

Category

 

Brand equity

Question # 7 of 15 ( Start time: 10:50:48 PM ) Total Marks: 1

Which one of the following is the part of brand management process?

 Select correct option:

 

Manage product

 

Manage categories

 

Manage brand

 

Manage customer

uiz Start Time: 10:46 PM    Time Left    84

sec(s)    

 

 

Question # 8 of 15 ( Start time: 10:51:24 PM )    Total Marks: 1

A personal computer with features relating to processor’s specifications, the size of the hard disk and capacity of RAM is an example of:

 Select correct option:

 

 

 

Implicit promise

 

Explicit promise

 

Positive promise

 

Negative promise

 

Quiz Start Time: 10:46 PM    Time Left    84

sec(s)    

 

 

Question # 9 of 15 ( Start time: 10:52:13 PM )    Total Marks: 1

The more the customers are knowledgeable of a brand’s __________, the more they are inclined to be bound into a contract.

 Select correct option:

 

 

 

Promotion

 

Quality

 

Promise

 

Image

 

Quiz Start Time: 10:46 PM    Time Left    84

sec(s)    

 

 

Question # 9 of 15 ( Start time: 10:52:13 PM )    Total Marks: 1

The more the customers are knowledgeable of a brand’s __________, the more they are inclined to be bound into a contract.

 Select correct option:

 

 

 

Promotion

 

Quality

 

Promise

 

Image

 

Quiz Start Time: 10:46 PM    Time Left    84

sec(s)    

 

 

Question # 9 of 15 ( Start time: 10:52:13 PM )    Total Marks: 1

The more the customers are knowledgeable of a brand’s __________, the more they are inclined to be bound into a contract.

 Select correct option:

 

 

 

Promotion

 

Quality

 

Promise

 

Image

 

Question # 12 of 15 ( Start time: 10:54:27 PM ) Total Marks: 1

You do not give the same treatment to a fake brand even if it carries the label that may look genuine because:

 Select correct option:

 

The actual brand is not there

 

The actual product is not there

 

The actual brand is there

 

Actual product is there

Question # 12 of 15 ( Start time: 10:54:27 PM ) Total Marks: 1

You do not give the same treatment to a fake brand even if it carries the label that may look genuine because:

 Select correct option:

 

The actual brand is not there

 

The actual product is not there

 

The actual brand is there

 

Actual product is there

Question # 12 of 15 ( Start time: 10:54:27 PM ) Total Marks: 1

You do not give the same treatment to a fake brand even if it carries the label that may look genuine because:

 Select correct option:

 

The actual brand is not there

 

The actual product is not there

 

The actual brand is there

 

Actual product is there

Quiz Start Time: 10:46 PM    Time Left    71

sec(s)    

 

 

Question # 15 of 15 ( Start time: 10:56:29 PM )    Total Marks: 1

“Market share” is the indicator of which of the following?

 Select correct option:

 

 

 

Brand value

 

Brand strength

 

Brand asset

 

Brand liability

Mth302 solution of assignment 2

Thursday, May 13, 2010 Posted In Edit This
Different solutions of Mth302 assignment 2
.............................
Question 1: Marks 08

A flying company offers trips in Europe. The company flies three kinds of airplanes: the Boeing 757, the Boeing 767, and the Boeing 777. Each plane is outfitted with tourist, economy, and first-class seats. In Boeing 757, there are 50 tourist, 30 economy, and 32 first class seats. . In Boeing 767, there are 75 tourist, 45 economy, and 50 first class seats. In Boeing 777, there are 40 tourist, 25 economy, and 30 first class seats.

The number of reservations for its January flight to Germany, 305 reservations for tourist class, 185 Economy class, and 206 first class.

To fill all the seats how many of each kind of plane should the company fly?
Solution:
This solution Send you soon…..first try your self…..


Question: 2 Marks 0
Why the inverse of following matrix is not possible
5 7 1

7 2 4

3 6 9
8 15 10
Solution:

Apply on excel you will find the error.

Question: 3 Marks 0 Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.

5 9 3

7 1 8

1 2 4
Solution:
Steps are in handouts page number 86 Lecture number 11
5 9 3
7 1 8
1 2 4
=MINVERSE(H8:J10)
Question 4: Marks 0

Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.

Solution:
Available in handouts or do net search….







Question 5: Marks 0 Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.


Solution:

Rs Markup = %Markup on cost × Cost price Rs Markup = (.40) (2400)
Rs Markup = 960

Selling Price
Then the selling price, being the cost plus markup, that is:

Selling Price = Cost price + Rs Markup

Note: Solve these papers by yourself





Selling price= 2400 + 960 = 3360


Question 6: Marks 0

An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.

Selling Price = Cost price + (Cost price × %Markup on cost)

Selling price = Cost price (1 + %Markup on cost)

3200 = Cost price (1 + 48%)

3200 = Cost price (1.48) Cost price = 3200/Cost price = 216Rs Markup = %Markup on cost × Cost price

Rs Markup = (.48) (2162)
Rs Markup = 1038

Question 7: Marks 0 Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.


Let list price = 100

Series trade discount: Net price = List price(1-d1)(1-d2)…..(1-dn) = 100 (1 - .05)(1 - .07)(1 - .11)

= 100(.95)(.93)(.89) =100(.786315) =78.63

Single discount rate = 100 – 78.63
= 21.37%


Question 8: Marks 05

An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.

Solution:
Check handouts page number 122 lectures 16….Example given

Original Sale Price

Let Selling price = 100 %Markup on selling price = 45% Cost = 100 – 45 = 55

Thus Original Sale price = (100/55) x 57.75 = 105Rs

Rs. Markdown
%Markdown = 40% = 0.4





Rs. Markdown = 105 x 0.4 = 42

Sale price after markdown
Sale price after markdown = 105 – 42 = 63 Rs

Q # 8

An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
Cost=2300
Marked up=38%
So
(2300)(0.38)=874
2300+874=3174
Now
Cost=3174
Mark down=30%
(3174)(0.30)=952.2
3174-952.2=2221.8
Selling price=2221.8
...............................................
Q # 05
Selling Price = Markup + Cost
Markup = 2400 x 40/100 = Rs 960/-
Selling Price = 2400 + 960 = Rs. 3,360/-

Q # 06
Selling Price = C + (C X MUC)
3200 = C (1+MUC)
3200 = C X (1+ 0.48)
= 3200/1.48
Cost Price = Rs. 2,162
Markup = 2162 x 48/100
Markup = Rs. 1037.76/-

Q # 07
SINGLE TRADE DISCOUNT
Net Price = L (1 Å’ D)
= 100 (1-.05)(1-.07)(1-.11)
= 100 (.95) (.93) (.89)
= 100 (.7863)
= 78.63
SINGLE DISCOUNT = 100 Å’ 78.63
= 78.63%

Q # 08
Let selling price = 100
%Markup on selling price = 38%
Cost = 100-38 = 62
Thus Orignal Sale Price = (100/62) x 2,300
= Rs. 3,709.677
Rs. Markdown
%Markdown = 30%
Rs. Markdown = 3709.677 x .30 = Rs. 1,112.903
Sale price after Markdown = 3,709.677 Å’ 1,112.903
= Rs. 2,596.774/-
.....................................................
QUESTION # 2 Marks 0

Why the inverse of following matrix is not possible?



SOLUTION

Because the number of rows and columns are not equal.

QUESTION # 3 Marks 0

Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.



SOLUTION
Enter data in cells A1:C3.
Click on cell A4.
Keeping left mouse button pressed, drag it to cell C6.Four cells will be selected.
Press F2 from keyboard.
Type the formula =MINVERSE(A1:C3).This will appear in cell A4.
Press Ctrl, Shift, Enter keys simultaneously from keyboard.
Multiplicative inverse of the matrix will appear in cells A4,B4,C4 & A5,B5,C5 &

A6,B6,C6.

Inverse Matrix is:



0.059701 0.149254 -0.34328

0.099502 -0.08458 0.094527

-0.06468 0.004975 0.288557


QUESTION # 4 Marks 0


Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.

SOLUTION


QUESTION # 5 Marks 0

Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.



SOLUTION

Selling Price = Cost + (Cost * % Markup on Cost)

Markup = 2400 * (40/100) = Rs. 960

Selling Price = 2400 + 960 = Rs. 3360


QUESTION # 6 Marks 0


An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.


SOLUTION

Selling Price = Cost + (Cost * % Markup on Cost)

Selling Price = Cost + (1 + % Markup on Cost)

3200 = Cost + (1 + 0.48)

Cost = 3200/1.48 = Rs 2162

Markup = 2162 * (48/100) = Rs. 1037.76

QUESTION # 7 Marks 0

Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.

SOLUTION

Let List Price = L = 100

Net Price = 100(1-0.05)(1-0.07)(1-0.11)

Net Price = 100 * 0.7863

Net Price = 78.63

Single Discount = 100 – 78.63 = 21.37%

QUESTION # 8 Marks 05

An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.

SOLUTION

Let the selling price = 100

% markup on selling price = 38%

Cost = 100 – 38 = 62

Original sale price = (100/62) * 2300 = Rs. 3709.677

% markdown = 30%

Markdown = 3709.677 * 0.30 = Rs. 1112.903

Sale price after markdown = 3709.677 – 1112.903 = Rs. 2596.774
......................................
Question 4: Marks 0

Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.

Solution:
Available in handouts or do net search….





Question 5: Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.

Solution:
Rs Markup = %Markup on cost × Cost price
Rs Markup = (.40) (2400)
Rs Markup = 960

Selling Price
Then the selling price, being the cost plus markup, that is:
Selling Price = Cost price + Rs Markup
Selling price= 2400 + 960 = 3360


Question 6: Marks 0

An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.

Selling Price = Cost price + (Cost price × %Markup on cost)
Selling price = Cost price (1 + %Markup on cost)
3200 = Cost price (1 + 48%)
3200 = Cost price (1.48)
Cost price = 3200/1.48
Cost price = 2162

Rs Markup = %Markup on cost × Cost price
Rs Markup = (.48) (2162)
Rs Markup = 1038

Question 7: Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.


Let list price = 100

Series trade discount: Net price = List price(1-d1)(1-d2)…..(1-dn)
= 100 (1 - .05)(1 - .07)(1 - .11)
= 100(.95)(.93)(.89)
=100(.786315)
=78.63
Single discount rate = 100 – 78.63
= 21.37%


Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.

Solution:
Check handouts page number 122 lectures 16….Example given

Original Sale Price
Let Selling price = 100
%Markup on selling price = 45%
Cost = 100 – 45 = 55
Thus Original Sale price = (100/55) x 57.75 = 105Rs
Rs. Markdown
%Markdown = 40% = 0.4
Rs. Markdown = 105 x 0.4 = 42
Sale price after markdown
Sale price after markdown = 105 – 42 = 63 Rs.
.........................
..........................................
Assignment # 2

MTH302 (Spring 2010)
[left]Total marks: 13[/left]
[left]Lecture # 9 to 16[/left]
[left] Due date: 17-05-10[/left]
DON’T MISS THESE Important instructions:
[list]
[*]Upload assignments properly through LMS, (No Assignment will be accepted through email).
[*]All students are directed to use the font and style of text as is used in this document.
[*]This is an individual assignment, not ***** assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others. Many solution files sent by students in assignment 1 are found to be copied and so awarded zero. You are therefore reminding here again.
[*]Above all instructions are for all assignments so may not be mentioned in future.
[*]Question # 2, 3, 4, 5, 6 and 7 doesn’t have any marks, it is for your pre-assessment, solve it, see its solution (when uploaded) but you need not include these questions in solution file.

Question 1: Marks 08

A flying company offers trips in Europe. The company flies three kinds of airplanes: the Boeing 757, the Boeing 767, and the Boeing 777. Each plane is outfitted with tourist, economy, and first-class seats. In Boeing 757, there are 50 tourist, 30 economy, and 32 first class seats. . In Boeing 767, there are 75 tourist, 45 economy, and 50 first class seats.
In Boeing 777, there are 40 tourist, 25 economy, and 30 first class seats.
The number of reservations for its January flight to Germany, 305 reservations for tourist class, 185 Economy class, and 206 first class.
To fill all the seats how many of each kind of plane should the company fly?


Question: 2 Marks 0

Why the inverse of following matrix is not possible





Question: 3 Marks 0

Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.



Question 4: Marks 0


Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.

Question 5: Marks 0

Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.


Question 6: Marks 0


An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.


Question 7: Marks 0

Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.


Question 8: Marks 05

An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.

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