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Management Mathematics 2 Question Paper

Management Mathematics 2

Course:Bachelor Of Commerce

Institution: Kenyatta University question papers

Exam Year:2014

KENYATTA UNIVERSITY
SCHOOL OF BUSINESS
DEPARTMENT OF MANAGEMENT SCIENCE
BMS102: MANAGEMENT MATHEMATICS 2 CAT I TIME: 1HOUR

Attempt all questions and show all your working.
1.1 A two industry input output relationship is given below

PRODUCING SECTOR CONSUMING SECTOR FINAL DEMAND TOTAL OUTPUT
A B

A 4 5 1 10

B 1 5 4 10
Using matrix notations determine the total output required to satisfy the new demand of 40 units and 90 units for industry A and B respectively.
5marks
2.1 A company makes two kinds of leather belts .Belt is a high quality belt and B is of a lower quality .The respective profit are sh.40 and sh.30 per belt .Each belt type A requires twice as much as belt of type B and if all the belts were of type B , the company would be able to make 1000 belts per day .The supply of leather is sufficient for making only 800 belts per day i.e both types combined . Belt A requires a fancy buckle and only 400 per day are available .There are only 700 buckles available for Belt B per day .Formulate the problem as a linear programming problem.
5marks
3.1 In a certain town, only two brands of soft drinks are sold: Coca-Cola and Pepsi .If a buyer bought Coca-Cola last time, there is 0.75 chance that he would buy the same Coca-Cola in the next purchase. Similarly, it is known that if a buyer bought Pepsi last time, the probability for him to buy Coca-Cola next time is 0.4.
a) Using the information ,develop the transition probability matrix
b) Determine the respective market shares the two brands will have in the long run, assuming that the market and their respective preferences do not change over time.

Management Mathematics 2 Question Paper

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