University Mathematics: Data and Information Management Homework

This homework assignment focuses on applying mathematical concepts to data and information management scenarios. The solutions cover a range of topics, including basic arithmetic operations, percentage calculations, and solving equations. Problems involve compound interest, ratio and proportion, and linear equations. The assignment also explores concepts related to supply and demand in economics and linear programming. Students will find solutions for various mathematical problems and calculations, including future value, and optimization techniques using linear programming, providing a comprehensive understanding of mathematical principles in practical contexts. The solutions demonstrate step-by-step problem-solving methods and offer insights into applying mathematical concepts to real-world situations. This document provides a valuable resource for students seeking to enhance their mathematical skills and comprehension of data and information management principles.

Using and managing
data and information

TASK 1
(a) 1.8 then * 1.8 then * 1.8 then * 1.8 then * 1.8 then * 1.8 then * 1.8 then * 1.8
(b) 786 then 5
(c) 1 then / 1 then + 0.7 then x3
(d) 2500 then * 51/2
(e) 34.18 then + then 79 then / 0.4375 then – 2.28
TASK 2
(a) 2.90/5 *11 = 6.38
(b) 9.86/2.90 *5= 17 minutes
TASK 3
(a) 5*3=6*x
X=2.5 days
(b) 12*5/100=20*x/400
X= 3 days
(c) (i) red = 144/9 *7= 112 litres
Blue= 144/9*2=32 litres
(ii) blue=35/7*2=10 litres
TASK 4
(a) FV= PV+(1/1+R)7 = 11500+(1/1+2.35)7 =13530
(b) (i) 95*20%=19
(ii) 95+19=114
(c) 66.84-11.4=55.44/7.25=8 units
TASK 5
5/30*100=16.67%
TASK 6
(a) 17.1
(b) 783
(c) 13389.3
(d) 292.41

(e) 1.71
(f) 78.3
(g) 10*13389.3-17.1*783=120503.7
TASK 7
(a) It shows that y is moving fast as compared to x and i.e. 32.3 times faster. Even when x is
0, y will move faster.
(b) (i) 3*-2
(ii) 3x/-2+3
(iii) 3/-2*-4.5+3=3.75
TASK 8
(a) 2.5*X+3.5*90=1560
X=498
(b) 498 METRES
(c) 166*2.5+270*3.5=1360 thus the claim is wrong
TASK 9
(a) 36+a/6=12
A=36
(b) 10a-14=-3.5
A=1.05
(c) 4x+8+15x-5=6x+35
X=2.46
(d) a/3+5a-25=5-2a+14
a=3.11
TASK 10
(a) 4x+32y=42.4
4x+28y=38.8
(b) 4y=3.6
Y=0.9= orange
Then x= 3.4= apple

TASK 11
(a) For demand- If price decreases then quantity demanded increases
For supply- If price increases quantity supplied also increases
(b) Equilibrium point
TASK 12
Let B= number of the base unit
C= number of the cabinet unit
Object function= max z= 16B+33C
Subject to= 40B+15C<=14*60 [40B= base unit, 15C= cabinet unit]
40B+15C<=840 [for production department]
30B+25C<=8*60 [30B= base unit, 25C= cabinet unit]
30B+25C<=480 [for assembly department]