Variable Definitions:

F1 - VTSAX

F2 - VFIAX

B1 - VBTLX

S1 - MSFT

S2 - APPL

Given Investments Annual Rate of Return:

F1R = 0.147

F2R = 0.148

B1R =0.077

S1R =0.290

S2R =0.282

Maximize (F1R)(F1) + (F2R)(F2) + (B1R)(B1) + (S1R)(S1) + (S2R)(S2) - Total Annual Return

s.t.

B1 <= 0.1(F1 + F2 + B1 + S1 + S2) - Bond Mutual Fund shouldnt exceed 10% of all investments

(S1 + S2) <= 0.2(F1 + F2 + B1 + S1 + S2) - Stocks shouldnt exceed 20% of all investments

S2 >= 0.6(S1 + S2) - Apple stock should be at least 60% of all stock investments

SOLVE THE MODEL TO MAXIMIZE THE TOTAL ANNUAL RETURN FOR THE PORTFOLIO