A bank has $500,000 in assests to allocate among investments: A, B, C, and D. Investment A are expected to produce an annual retum of 10%, investment B 11.5%, investment C 16.5%, and investment D 14%. In order to control investment risks, the bank senior manager imposes several requirements: The amount invested in D must not exceed 52% of the amount invested in A The total amount invested in C must not exceed 47% of the total amount invested in B and A, The amount invested in A must be at least 23% of the total investment Formulate an LP model if the bank has an objective of maximizing the expected return of the investment portfolio. Show the mathematical expression of the LP model on the given space below