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Quantitative Methods Question Paper

Quantitative Methods

Course:Bachelor Of Arts In Business Administration

Institution: Kenya Methodist University question papers

Exam Year:2012

DEPARTMENT OF BUSINESS ADMINISTRATION
BUSS 320: QUANTITATIVE METHODS
Date 20th november
Instructions
Answer all questions
1. Briefly explain three merits of using models in quantitative analysis (3 Marks)
2. The marginal cost unction of manufacturing x units of a product is 5 +16x - 3x2 . The total
cost of producing 5 items is Ksh.500. Find the total cost function (5 Marks)
3. The fixed cost of a new product is Ksh. 30,000 and the variable cost per unit is Ksh. 800. If
the demand function is p(x)=4,500 -100x, find (5 Marks)
a). The break even values
b). The marginal revenue
c). The marginal cost
5. Differentiate the function (3 Marks)
y=3x+x1/2+2x/x-1
6. An economy consists of two industries A and B with each industry producing a single
product. The table shows the use and production of A and B over some fixed period of time.
(6 Marks)
To A B Consumer Demand

A 30 18 42
From B 20 32 48
a). The final demand for A increases by 20 units and B increases by 25%. Determine the new
total output by the two industries so as to satisfy the new final demand.
7. Suppose that the following estimates of activity time (in weeks) were provided for the
network shown.
Activity Optimistic Most Probable Pessimistic
A 4 5 6
B 2.5 3 3.5
C 6 7 8
D 5 5.5 9
E 5 7 9
F 2 3 4
G 8 10 12
H 6 7 4
a) What is the probability that the project will be completed within 21 weeks? (8
Marks)
8. A taxi hire company has five taxis to serve its five depots a, b, c, d and e. A customer requires
a taxi in each town, namely A, B, C and D. Distance (in kms) between depots (origins) and
towns (Destinations) are given in the following distance matrix: (7 Marks)
a b c d E
A 120 90 135 150 160
B 95 80 90 120 135
C 100 70 40 130 145
D 10 10 30 40 70

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