Assignment # 2 MTH302 (Spring 2010)

[+ M.Tariq Malik]

Assignment #  2

 

MTH302 (Spring 2010)

            Total marks: 13

             Lecture # 9 to 16   

           Due date: 17-05-10                                                                

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• 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. 

 

Please Discuss Here about this assignment. Thanks

[M. Alamgir]

please clarify thhe first question . i solved all question . just 1st question is remaining . just calrify it so that i can upload solution as soon as possible

[Nadeem Nazir]

i m also confused with question no. 1. it looks like some thing stupid. if u get any hint or clue please update. Thanks

[Nadeem Nazir]

did u get any hint? is it a matrix question? if it is, what operations will be done and how matrix will be formed

[Muhammad Faisal]

Plz tell what to do with this first question bcz I made the metrics but dont know what to do next .

[Needa]

Tourists Econoomy First Class Jan Flights
Boeing 757 50 30 32 305
Boeing 767 75 45 50 185
Boeing 777 40 25 30 206


R1C1 (50*305)+(30*185)+(32*206)
27392

R2C1 (75*305)+(45*185)+(50*206)
41500

R3C1 (40*305)+(25*185)+(30*206)
23005



27392
Answers 41500
23005


Dear Brothers and sisters please Check it and reply if wrong………

[Nadeem Nazir]

i did not understand what is ur answer

[Muhammad Faisal]

this is wrong. please see what is asked in the question and that is how many planes they need to fly. and how can it be 23005 or 41500 planes

[Hina Ali]

yes my ans is also same.but i don't know it is the right or wrong method bcoz i didn't get the question clearly that what is required.but it look like a matrix question.

[+ M.Tariq Malik]

MTH302 Assignment#2 Idea solution

See the attached files please..

[Nadeem Nazir]

Q:1 i have made same matrices but don't have any hint to solve the problem. I'll make my own calculations but give some idea.
Q:2 This is not because excel returns an error but also the given matrix is not a square matrix and inverse of matrix other than a square matrix is not possible.

[M. Alamgir]

salam dear
question no 1
is not a matrix question . i think its a ratio question

[M. Alamgir]

to fillfull the reservation company has to fly
boeing 757 3 planes
boeing 767 1 planes
boeing 777 2 planes

As in
boieng 757 767 777
Tourist 50 75 40 and reservation for tourist is 305
50*3 75*1 40*2
150 75 40 = 150+75+80 =305

as in
boieng 757 767 777
economy 30 45 25 and reservation is 185 for economy
30*3 45*1 25*2
90 45 50 = 90+45+50=185
and third is same

but i m confused about this method too complicated