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Management Mathematics 1 Question Paper
Management Mathematics 1
Course:Bachelor Of Commerce
Institution: Jomo Kenyatta University Of Agriculture And Technology question papers
Exam Year:2o12
WI-2-60-1-6
JOMOKENYATTA UNIERSITY OF AGRICULTURE AND TECHNOLOGY
UNIVERSITY EXAMINATIONS 2011/2012
FIRST YEAR SEMISTER TWO EXAMINATION FOR THE DEGREE OF SCIENCE AND TECHNOLOGY
HBC 2110: MANAGEMENT MATH 1
DATE APRIL, 2012 TIME: 2 HOURS
INSTRUCTIONS: Answer one and any other two questions
Question one:
a) Verify that,
(AnB) and (AuB) are equal for the following set A={1,3,4} B={2,3,4,5} U={1,2,3,4,5} (5 marks)
b) The weights (W) of female college students are linearly related to their heights (h)if a student of height 62 inches and weight of 120 pounds and a student of height 72 inches and weight of 170 pounds. Determine the equation that expresses their weight (w) in terms of height (h) of a student hence find the height of a student whose weight is 150 pounds. (5marks)
c) In a class of 80 students:
50 know English, 55 know French and 46 know German
37 know English and French
25know English and German
28 know French and German
7 know none of the language
Find,
i. How many students know all 3 languages? (3marks)
ii. How many students know exactly 2 languages(1 mark)
iii. How many students know exactly one language (1 mark)
iv. Represent the above information in a Venn diagram (4 marks)
d) Given a function f(x) =7-4x and g(x) =10-6x find value of:
3-5x 2-8x
i. Fog and state its domain. (4 marks)
ii. (fog)^-1 and state its domain.(3 marks)
Question two :( 20 marks)
a) A co. manufacturing 3 products A, B and Each of which undergo through three processes x, y, and for the following times.
Time spent in the process
products X Y Z
A
B
C 2
1
2 5
2
2 1
3
3
The maximum capacities of processes x, y, and z are 1100, 1800, and 1400 respectively.
Calculate the number of products A, B and C to ensure maximum utilization of the available capacity. (12 marks)
b) Discuss significance of the concept of the time value of money. (8 marks)
Question three: (20 marks)
a) Chama ltd has two mutually exclusive projects A and B with the following characteristics:
Project A B
Initial cash outlay 50000 50000
Economic life 4 4
Cost of capital 10% 10%
Annual cash flows
1 21172 0
2 21172 10590
3 21172 21172
4 21172 69180
Compute:
I. Pay Back period (3 marks)
II. Profitability index (2 marks)
III. Net present value (5 marks)
IV. Internal rate of returns (10 marks)
Question four:
a) A lecture theatre has 25 rows of seats. The first row contains 30 seats, the second 32 seats the third 34 seats and so on
a. Assuming that this pattern continues, find a sequence that models the number of seats in the lecture theatre.(3 marks)
b. Find number of seats in the 20th row. (2 marks)
c. What is the total number of seats in the lecture.(3 marks)
b) Define an annuity and give 3 examples. (4 marks)
c) How much must be invested now at 9% per year compounded semiannually to find an annuity of 20 payments of sh.200 each paid every six months from now. (4 marks)
d) Solve 3x2 +5x-2=0 by completing square method. (4 m
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