Use the simplex method to solve the following linear programmingproblems. Clearly indicate all the steps, theentering and departing rows and columns and rows, the pivotand the row operations used. An investor has up toN$450,000 to invest in three types of investments. Type A pays 6%annually and has a risk factor of 0. Type B pays 10% annually andhas a risk factor of 0.06. Type C pays 12% annually and has a riskfactor of 0.08. To have a well-balanced portfolio, the investorimposes the following conditions. The average risk factor should beno greater than 0.05. Moreover, at least one-half of the totalportfolio is to be allocated to Type A investments and at leastone-fourth of the portfolio is to be allocated to Type Binvestments. How much should be allocated to each type ofinvestment to obtain a maximum return?
