Practical Report: Using and Managing Data and Information

This report provides a comprehensive analysis of using and managing data and information through various practical tasks. It covers mathematical concepts applied to real-world scenarios such as calculating painting times, revenue generation from tyre sales, road construction timelines, and paint mixture ratios. Additionally, the report delves into combinatorial problems, electricity bill calculations, mortgage repayment scenarios, and discount pricing. It also includes solving linear equations, interpreting graphs, and determining optimal product mixes using linear programming. The report concludes with a summary of the tasks performed and includes relevant references, offering a detailed overview of data and information management principles and their practical applications. Desklib provides this report along with other study tools.

USING
AND
MANAGING DATA
AND INFORMATION

Table of Contents
INTRODUCTION ............................................................................................................................3
MAIN BODY....................................................................................................................................3
Task1............................................................................................................................................3
Task 2...........................................................................................................................................4
Task 3...........................................................................................................................................5
Task 4...........................................................................................................................................6
Task 5...........................................................................................................................................7
CONCLUSION ................................................................................................................................9
REFERENCES................................................................................................................................10

INTRODUCTION
In this report, various tasks are performed on the topic of using and managing data and
information. Data are row facts and figures in quantitative and qualitative terms where as
information is structured and organised data which helps in decision making. Tasks are performed
in this report are on the basis of basic concepts of mathematics.
MAIN BODY
Task1
(A) Information is given that 8 people can paint a fence in 3 hours. So basically one person can
paint the fence in 3/8 hours. Total time taken by 12 person to paint the fence can calculated as
follows assuming that everyone works at the same rate.
=3/8*12
=4.5 hours.
(B) Information is given regarding no. of tyres and revenue generated by sales of those tyres in
July month.
No. of tyres sold by the tyre seller = 510
Revenue from selling 510 tyres = 25500
Therefore, revenue generated by 1 tyre will be = 50.
If 670 tyres are sold by the tyre seller at the same price that is £50 per tyre, total revenue will
generate,
= 670 *£50
=£33500.
(C) Information is given that 5 days taken by total 12 people to build a road of 200 m long.
Time taken by 20 men to build a road of 400m long can be calculated as under:-
time taken by 1 man to build 1m long road
= 5*12/200
= 0.3 day
Total time taken by 20 men to build a road of 400m long
=5*12*400/200*20
=6 days
(D) Super paint is mixed by using yellow and blue in the ratio of 7:2.

(a) To make 72 litres of super paint
yellow colour in the ratio of = 72*7/9
=56
Blue colour in the ratio of = 72*2/9
= 16.
(b) To make 35 litres of super paint
yellow colour in the ratio of = 35*7/9
=27
blue colour in the ratio of = 35*2/9
=8.
Note :- Any decimals are ignored.
Task 2
(a) The combination of 4 students can be made from a class of 30 students by using this formula
nCr= n! / r!* (n-r)
where n represent the number of items,
r= represent the number of items being chosen at a time.
NCr = 30! /4!*(30- 4)
=30! /4!* 26
=30*29*28*27*26! /4*3*2*1*26!
=30*29*28*27 /24
=27405
(b) The permutation of 3 different digits are there, chosen from the ten digit 0 to 9.The left place
can not be taken digit 0. So, the place can be filed any remaining number 1 to 9. Again the tenth
place can be occupied by any of the 10digit that is 0 to 9 then 9*10=90 arrangements. The unit
place can be filled any of the ten digit that is 1 to 9 . So the arrangement of 3 different digits will
be 90*10=900.
(c) In lottery there is choose six different numbers between 1 to 50 inclusive. The possible
combination of winning the jackpot-
nCr= n! / r! (n-r)
where n represent the no of item

r = represent the number of item choose at a time
then- = 50! / 6! (50-6)!
=50! / 6*5*4*3*2*1*44!
= 50*49*48*47*46*45*44! /720*44!
=11441304000 /720
=15890700
The possible combination of winning the jackpot is 15890700.
Task 3
(A) Steven receives an electricity bill for £90, which includes a quarterly charge of £15. After
deducting the quarterly charge net bill amount is
=£90 - £15
=£75.
The cost per unit is 6 pence.
The quantity of units Mr. Steve has used is
= £75/0.06
=1250 units.
(B) Information is given about a first time house buyer who can make 360 monthly payments of
£480 each to repay the mortgage amount.
Total mortgage amount = 360*£480
=£172800.
If the buyer can make only monthly payment of £450 , total no. of monthly payments
are required:
= £172800/£450
=384.
The buyer can make payment of total mortgage amount of £172800 in 384 monthly payment of
£450 each.
(C) A discount of 20% was offered by a second hand car dealer for a sale of £6400 for immediate
cash sales. So the price offered for immediate cash sales was 80% of the total original sale price.
The original sale price was before the discount = £6400/80%
=£8000.

Task 4
(a) In this question the equation of a line has given and the value of y is 5 as given then the value
of x is calculate-
y=5x+8
5=5x+8
5-8=5x
-3=5x
-3/5=x
the value of x is =-3/5.
(b)(i)
In this question the graph has given-
If value of y is 2 then value of x is 0 ,the coordinate of (x1,y1) is (0,2)
If value of x is 2 then value of y is 0 the coordinate of (x2,y2)is(2,0)
gradient =change in value of y/change in value of x
=y2-y1/x2-x1
=0-2/2-0
=(-2/2)
=(-1)
The gradient is -1 that is negative slope.
4(b)(ii)
The equation of the line in the form of-
y=mx+c
Now using y=mx+c,solve the value of c using m that is slope g=(-1) and either of two points.
First points(0,2)
2= -1*0+c
2=0+c
2-0=c
2=c
second point(2,0)
0= -1*2+c
0= -2+c

0+2=c
2=c
In both point gets the same answer of c.
4(b)(iii)
If the value of x is 6 then value of y is
m= -1(calculate in above)
c= 2 (calculate in above)
y=mx+c
y= -1*6+2
y= -6+2
y= -4
the value of y is -4
Task 5
Let x1 and x2 donate quantities of base unit and cabinet unit respectively. The linear
programming model for the given problem is stated as below:-
Zmax = 5x1+3x2
Subject to: -
0.15x1+0.20x2 = 300 (for production department)
0.40x1+0.30x1 = 600 (for assembly department)
Different combinations of product mix include :-
Combination x1 x2 Total Profit (£) Rank
P 1500 0 4500 3
Q 0 2000 10000 1
R 857 857 6856 2

The graphical solution for the problem is given below:-
It can be said by considering the above chart that profit will be higher if subcontractor
produce only cabinet unit.
1500 0 857
0
500
1000
1500
2000
2500
Column 1
Base Unit
Cabinet Unit

CONCLUSION
In this report, by using the given data and information, several tasks are performed. These
tasks are done by using the general mathematics basic. Further this report includes graphical
representation of the given data and algebraic solution of the given problems.

REFERENCES
Books and Journals
Aleksey And et.al, 2019. Distinctive features of the logistics approach to managing
information flows. Известия Уральского государственного экономического
университета, 20(1), pp.112-130.
Bouslama, S., Bhar Layeb, S. and Chaouachi, J., 2018, December. Framework for Managing
the New General Data Protection Regulation Related Claims. In International conference
on the Sciences of Electronics, Technologies of Information and
Telecommunications. (pp. 14-23). Springer, Cham.
Korala And et.al, 2020, December. Design and implementation of a platform for managing
time-sensitive IoT applications. In 2020 IEEE 6th International Conference on
Collaboration and Internet Computing (CIC) (pp. 44-53). IEEE.
Samerkhanova And et.al, 2020. Creation of a modern digital environment for managing the
educational programs in university. In Growth Poles of the Global Economy: Emergence,
Changes and Future Perspectives. (pp. 1263-1273). Springer, Cham.
Schlegel, G.L. and Trent, R.J., 2021. Managing risk better, faster and smarter with digitised
supply chains. Journal of Supply Chain Management, Logistics and Procurement. 3(3),
pp.210-225.