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Management Maths Ii Question Paper
Management Maths Ii
Course:Bachelor Of Commerce
Institution: Dedan Kimathi University Of Technology question papers
Exam Year:2012
KIMATHI UNIVERSITY COLLEGE OF TECHNOLOGY
UNIVERSITY EXAMINATION 2011/2012
SECOND YEAR SECOND SEMESTER EXAMINATION FOR THE DEGREE OF
DIPLOMA IN PURCHASING AND SUPPLIES MANAGEMENT
BCA1306: MANAGEMENT MATHEMATICS
DATE: 23RD APRIL 2012 TIME: 2.00 PM – 4.00 PM
INSTRUCTIONS: Answer question ONE (COMPULSORY) and any other TWO
QUESTION ONE (30 MARKS)
a. Briefly explain the following terms as used in management.
i. Union and Intersection of the sets. (2 marks)
ii. Distributive law and Associative law. (2 marks)
b. Solve the system of equations;
(6 marks)
4382543249xyzxyzxyz
...
....
...
c. By using the rules of logarithms, solve for x in; 200(1.1)x= 20 000. (4 marks)
d. The percentage,, of households possessing refrigerators, years after they have been
introduced in a developed country, is modelled by
yt
tey15.095100...
Find the percentage of households that have refrigerators.
i. at their launch (2 marks)
ii. after 1 year (2 marks)
iii. after 10 years (2 marks)
iv. after 20 years (2 marks)
e. Consider the quadratic function given by. Solve for the roots
using the following methods.
2()2950fxxx....
i. Quadratic formula. (4 marks)
ii. Method of completing the squares. (4 marks)
iii.
QUESTION TWO (20 MARKS)
a. The government imposes a 15% tax on the price of a good. How much does the
consumer pay for a good priced by a firm at $1360? (3 marks)
b. Consider the function. Solve for x. (3 marks)
45()321fxx
..
.
c. A principal of $25 000 is invested at 12% interest compounded annually. After how
many years will the investment first exceed $250 000? (7 marks)
d. Distinguish between Arithmetic progression and Geometric progression. (3 marks)
e. A project requiring an initial outlay of $15 000 is guaranteed to produce a return of
$20,000 in 3 years’ time. Use the net present value. (4 marks)
QUESTION THREE (20 MARKS)
a. Distinguish an Annuity and Net present value. (3 marks)
b. Show that the following production function is homogeneous and find its degree of
homogeneity:
13222QKL.
Does this function exhibit decreasing returns to scale, constant returns to scale or
increasing returns to scale? (7 marks)
c. Calculate the Internal Rate of Return of a project which requires an initial outlay of
$20 000 and produces a return of $8000 at the end of year 1 and $15 000 at the end of
year 2. (10 marks)
QUESTION FOUR (20 MARKS)
a. Distinguish between a Simple interest and Compound interest. (3 marks)
b. Total reserves of a non-renewable resource are 250 million tonnes. Annual
consumption, currently at 20 million tonnes per year, is expected to rise by 2% a year.
After how many years will stocks be exhausted? (10 marks)
c. Sketch the following quadratic function in the interval,
hence obtain the roots of the function at y=0. (7 marks)
2()812fxxx....(08)x..
QUESTION FIVE (20 MARKS)
a. Evaluate the geometric series;
500(1.1) + 500(1.1)2+ 500(1.1)3+ ... + 500(1.1)25 (4 marks)
b. Share prices rise by 32% during the first half of the year and rise by a further 10%
during the second half. What is the overall percentage change? (6 marks)
c. Given the supply and demand functions
22142210150ssDDPQQPQQ
...
....
Calculate the equilibrium price and quantity. (8 marks)
d. Define the term Annual percentage rate. (2 marks)
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