Question 1099762: Mr Tui inherits a sum of $10,000 in Australia. He wants to invest this sum into three investments: Cooperate Bills, Cooperate Bonds and Treasury Bonds, with annual rates of 12%, 8% and 4% respectively. He wants his investment in Cooperate Bonds to be $500 more than the investment in Treasury Bonds. Use the Gauss Jordon Elimination method to find how much Mr Tui should allocate to each of his investments, in order to get an annual income of exactly $1,000.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! original 3*4 matrix
0.12,0.08,0.04,1000
0,1,-1,500
1,1,1,10000
divide row 1 by 0.12
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
1,1,1,10000
add 0*row 1 to row 2
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
1,1,1,10000
add -1*row 1 to row 3
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
0,0.33333333,0.66666667,1666.66667
divide row 2 by 1
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
0,0.33333333,0.66666667,1666.66667
add -0.33333333*row 2 to row 3
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
0,0,1.0,1500.0
divide row 3 by 1.0
1,0.66666667,0.33333333,8333.33333
0,1,-1,500
0,0,1,1500.0
add 1*row 3 to row 2
1,0.66666667,0.33333333,8333.33333
0,1,0,2000.0
0,0,1,1500.0
add -0.33333333*row 3 to row 1
1,0.66666667,0,7833.33333
0,1,0,2000.0
0,0,1,1500.0
add -0.66666667*row 2 to row 1
1,0,0,6500.0
0,1,0,2000.0
0,0,1,1500.0
1 6500.0
2 2000.0
3 1500.0
4 0
done
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