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Management Mathematics Ii Question Paper

Management Mathematics Ii

Course:Bachelor Of Commerce

Institution: Kenyatta University question papers

Exam Year:2010

KENYATTA UNIVERSITY
BMS 102:MANAGEMENT MATHS II CAT 1.
DATE:26TH MARCH 2010
TIME:1 HR
INSTRUCTIONS:ANSWER ALL QUESTIONS

1.)A real life situation has been modeled by the following system of simelteneous equatins.
3X+Y+Z=2
X-2Y+Z=-9
4X+3Y+2Z=1
a)Find the inverse of the coefficient matrix (4mks)
b)Using the inverse method,solve the above set of simultaneous equations(2mks)
2.The technological matrix for a three industry input-output model is:
A= {0.5 0 0.20}
{0.2 0.8 0.12}
{1.0 0.4 0.00}
If the industry demand for the output of these industries is:D1=$5,D2=$3 and D3=$4 respectively.Determine the equilibrium output levels for the three industries(4 mks)
3.In a brand switching problem,the transition probability matrix is given below
T= (0.2 0.4 0.1)
(0.4 0.6 0.1)
(1.0 0.2 0.0)
Also the market shares vector at the nth stage is (0.4 0.5 0.3)
i)What will be the market share at the (n+1)Th state.(2mks)
ii)Calculate the market share in the equilibrium situation(3mks)

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