g NAMIBIA UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF HEALTH AND APPLIED SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS QUALIFICATION: BACHELOR OF ECONOMICS QUALIFICATION CODE: 07BECO LEVEL: 5 COURSE CODE: MFE511S COURSE NAME: MATHEMATICS FOR ECONOMISTS 1A SESSION: JUNE 2018 PAPER: THEORY DURATION: 3 HOURS MARKS: 100 FIRST OPPORTUNITY EXAMINATION QUESTION PAPER EXAMINER(S) MRSS. MWEWA,J AMUNYELA,S HEELU (DI) MODERATOR: DRA. S. EEGUNJOBI INSTRUCTIONS 1. Answer ALL the questions in the booklet provided. 2. Show clearly all the steps used in the calculations. 3. All written work must be done in blue or black ink and sketches must be done in pencil. PERMISSIBLE MATERIALS 1. Non-programmable calculator without a cover. THIS QUESTION PAPER CONSISTS OF 8 PAGES (Including this front page)
8
Embed
NAMIBIA UNIVERSITY OFSCIENCE …exampapers.nust.na/greenstone3/sites/localsite/collect...Forthissamesector,the LMmodel(moneymarket) is represented by: Transaction—precautionarydemandformoneygivenby
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
g
NAMIBIA UNIVERSITYOF SCIENCE AND TECHNOLOGY
FACULTY OF HEALTH ANDAPPLIED SCIENCES
DEPARTMENT OF MATHEMATICS ANDSTATISTICS
QUALIFICATION: BACHELOR OF ECONOMICS
QUALIFICATION CODE: 07BECO LEVEL: 5
COURSE CODE: MFE511S COURSE NAME: MATHEMATICS FOR ECONOMISTS 1A
SESSION: JUNE 2018 PAPER: THEORY
DURATION: 3 HOURS MARKS: 100
FIRST OPPORTUNITY EXAMINATION QUESTION PAPER
EXAMINER(S) MRSS. MWEWA,J AMUNYELA,S HEELU(DI)
MODERATOR: DRA. S. EEGUNJOBI
INSTRUCTIONS
1. Answer ALL the questions in the booklet provided.
2. Show clearly all the steps used in the calculations.
3. All written work must be donein blue or black ink and sketches must
be donein pencil.
PERMISSIBLE MATERIALS
1. Non-programmable calculator without a cover.
THIS QUESTION PAPER CONSISTS OF 8 PAGES(Including this front page)
Question 1 (1 mark each = 5 marks)
For each of the following statements, indicate whether True or False in your answer
booklet
1.1. The polynomial 9x*y’z— 6x’y + llx'y + 4y°z has a degree of 6
12 log,(x+y)=log,x+log, y
1.3 A non-linear function has no gradient
1.4 If y=e’, then Y _9dx
. Lo b b15 The vertex of a quadratic function is given as 74 -—
a 2a
Section 2(2 marks each = 20 marks)
For each of the following indicate your best answerin the answer booklet provided
2.1
2.2
2.3
How manytermsdoesthe expression 2x(-4x"y) have?
A. 3 B. 2 G. 1 D. 4
-7x (x
Simplify (ytleaving your answerwithpositive indices.
5 \-4
4 | | 43A. x B. Th C. 3 D. x
Michelle borrowed NS$3r° + 5r*+ 187 + 20 from herbrother. If she paid back
NS3r°+ 2r? — 2r + 11, how much more money doesshestill owe her brother?
A. NSO B. NS 37? +20r +9
c NS 6r°+7r? +20r4+31 D. NS -3r? +20r-—9
Page 2 of 8
2.4
2.5
2.6
2.7
A.
Whichofthe following is a function?
{ive|4t | VAL | Jo}
&
ol
“y¥
Ty 1
|
Tuli farms produces lemons and the domestic demand and domestic supply curves
for lemonsin this economyare givenby: P=20-+0 and P=24+-0
The calculated equilibrium price and quantity will be:
A. P = N$2.00; Q = 4lemons B. P=N$5.00; Q = 30 lemons
C. P = N$2.50; Q = 45 lemons D. P = N$1.00; Q = 50 lemons
Which equation is the same as y = 4(2)*?
A. 4y=2* 8. y=2™ ff. y=2* po y=8
6 .If log, 64=_x is equal to:
0.04 B. 32 Ge 53.33 D. 147
Page 3 of 8
2.8 Refer to the graph below:
Aggregateconsumption(C)
Aggregate income (¥) 2.8.1 The consumption function equation will be equal to
A.
B.
G
D.
C = 140 +0.5Y
C = 80 + 0.6Y
C = 60 + 0.7Y
C = 60 + 0.4Y
2.8.2 From the graph above the value of the autonomous expenditure multiplieris
2.9
A.
B.
C
D.
k =0.3
k = 0.7
k = 3.33
k=1
Whensolving for the “x” in the equation ax* +bx+c =0, the solution(s) represent:
990p> the x — coordinateofthevertex of the quadratic function y=ax? +bx+c
the maximum valueof ‘x’
the x - intercepts of y=ax’ +bx+c
the x - coordinates of the y — intercept
Page 4 of 8
Section 3 (3 marks each = 15 marks)
For each of the following indicate your best answerin the answerbooklet provided
3.1
3.2
3.3
3.4
2Determine the expanded form of log yv4y—
(3y—2)
A. log y’ —4log3y—4log2 +log,/4y—1
B. 2logy+ log(4y-1)- 4log3y~2)
LC. logy’ J/4y—1-log(3y—-2)4
D. Noneof the above
Steeples CC estimates that its weekly profit, m, in hundreds of dollars, can be
approximated by the formula z =—3x° +6x+10 , where x is the numberof units
produced per week, in thousands. The numberof units the company should
produceper weekto earn maximum profit and the maximum weekly profit will be
A. 1000 units; NS1300 B. 3000 units; NS100
C. 1000 units; NS600 D. 2000 units; NS1100
A firm with total costs TC = 50 + 3Q for Q units of output, whichsells its output
at price p = $5 will break even at level of production of
50 50 50 45A. Q=F B. f=" C. Q= > D. Q=—
The derivative of y = xe** andits value at x = 0 will be