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A bank has $500,000 in assests to allocate among investments: A, B, C, and D. Investment A are expected to produce an annual return of 15.5%, investment B 13.5%, investment C 12%, and investment D 11%. In order to control investment risks, the bank senior manager imposes several requirements: The amount invested in A must not exceed 36% of the amount invested in C, The total amount invested in B must not exceed 43% of the total amount invested in D and C. The amount invested in C must be at least 22% 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. Do NOT find the optimal solution. Do NOT paste your Excel file here