Research Article

Linear Programming and Its Application Techniques in Optimizing Portfolio Selection of a Firm

Table 2

The simplex method and MATLAB solution in finding the optimal investment in a portfolio mix for the firm.

BasisChk.MATLAB solution ($)
0.120.170.170.130.210.100.1001.00

Fixed deposit111111115222,674,300
Treasury bill0.8-0.2-0.2-0.2-0.20.20.200.42,554,800
Crude oil0.2-0.80.20.20.20.20.200.41,974,800
Mortgage0.20.2-0.80.20.20.20.200.4813,480
Construction0.20.20.2-0.80.20.20.200.42,407,320
Cash crops0.20.20.20.2-0.80.20.200.42,674,800
Cert. deposit0.20.20.20.20.2-0.80.200.41,900,500
Tot. investment0.20.20.20.20.20.2-0.800.4
15% investment0.80.20.20.2-0.2-0.20.901.8
20% deposit0.80.2-0.80.20.2-0.80.200.0
25% cash crop0.80.3-0.80.30.30.8-0.800.8
40% treasury and construction0.60.4-0.60.4-0.60.60.401.2
Max. return2,553,096