Page 122 - DMTH201_Basic Mathematics-1

Unit 4: Determinants

Notes
G.N. S.F. C.N
Let P 250 300 150 A
400 350 100 B

X Y Z
70 60 55 GN
Q
50 55 60 SF
150 140 132 CN

70 60 55
250 300 150
PQ 50 55 60
400 350 100
150 140 132

250 70 300 50 150 150 250 60 300 55 150 140 250 55 30 60 150 132
400 70 350 50 100 150 400 60 350 55 100 140 400 55 350 60 100 132

17500 15000 22500 15000 16500 21000 13750 18000 19800
28000 17500 15000 24000 19250 14000 22000 21000 13200

X Y Z
55000 52500 51550 A
60500 57250 56200 B

A has to sell his oil stock in market X and B also has to sell his oil stock in market X to get
maximum receipt.

Example: At Bangalore merchant A has 300 bags of Rice, 600 bags of Wheat and 800 bags
of Ragi and another merchant B has 250 bags, 700 bags and 1000 bags of same foodgrains. The
prices (in ) at three cities are:
Place Rice Wheat Ragi

Mysore 100 90 80
Mangalore 110 80 70
Kolar 120 70 80
To which city, each merchant will send his supply in order to get maximum gross receipts? Solve
by matrix multiplication method.
Solution:

300 600 800 A
Let P
250 700 1000 B

100 110 120
Q 90 80 70
80 70 80

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