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In the Markowitz portfollo optimization model defined in equations (8.10) through (8.19) in the text, the decision variables represent the percentage of the portfolio invested in each of the mutual funds. For example, FS=0.25 in the solution means that 25% of the money in the portfolio is imvested in the forcign stock mutual fund. 1t is possible to define the decision variables to represent the actual dollar amount invested in each mutual fund or stock. Redefine the decision variables so that now each variable represents the doltar amount invested in the mutual fund. Aswume an investor has $50,000 to invest and wants to minimize the variance of his or her portfolia subject to a constraint that the portfolio returns a minimum of 10%. (a) Reformulate the model given by (8,10) through (8,19) based on the new definition of the decislon variables. min(R1s.t.R2=R3=R4=RS=FS+IB+LG+LV+SG+SV=R=(R=(R)2+(R2R)2+(R3R)2+(R4R)2+(RSR)2)FS,IB,LG,LV,SG,SV0 Objective value