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Please solve all. Its all one problem Valley National Bank has $1 million in funds to be allocated between home loans, personal loans and auto

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Valley National Bank has $1 million in funds to be allocated between home loans, personal loans and auto loans. The annual rates of return for the loans are 7% for home loans, 12% for personal loans and 9% for auto loans. The bank's planning committee has decided that at least 40% of the funds be allocated to home loans. In addition, the planning committee has determined that the amount allocated to personal loans cannot exceed 60% of the amount allocated to auto loans. Formulate the problem as a linear programming model including decision variables, objective function and the constraints. Decision Variables Objective Function MAX Total Funds At least 40% /(H+P+A) > /(H+P+A) /(H+P+A)

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