Max 0.26 0.05 1 1 0.1 1 0.11 1 1 var. con. 1 0 0 > 1 1 400000 225000 1 0 < 1 0 1 1 1 = 3 1000000 Adirondack Savings Ba
Posted: Thu Apr 28, 2022 3:02 pm
- Max 0 26 0 05 1 1 0 1 1 0 11 1 1 Var Con 1 0 0 1 1 400000 225000 1 0 1 0 1 1 1 3 1000000 Adirondack Savings Ba 1 (3.28 KiB) Viewed 27 times
Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 5% for home loans, 10% for personal loans, and 11% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans. (a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let H = amount allocated to home loans P = amount allocated to personal loans A = amount allocated to automobile loans Max .05 .10 p+ .11 s.t. 1 0 Vp + Minimum Home Loans 0 2 400000 1 0 0 S 225001 Personal Loan Requirement 1 Up + 1 100006 Amount of New Funds (b) How much should be allocated to each type of loan?