Expert answer:The Employee Credit Union at Directional State University is planning the allocation of funds for the coming year. ECU makes four types of loans and has three additional investment instruments. Each loan/investment has a corresponding risk and liquidity factor (on a scale of 0-100, with 100 being the most risky/liquid). The various revenue-producing instruments are summarized in the table below:You are asked to assign four patients to five nurses using the following travel distances. We want to minimize total mileage. (10) Instrument Annual Rate of Return (%) Risk Factor Liquidity Factor Automobile loans 8 50 0 Furniture loans 10 60 0 Other secured loans 11 70 0 Unsecured loans 14 80 0 Risk-free securities 5 0 100 Corporate stock fund 9 60 90 Corporate bond fund 8 50 80 ECU has $2,000,000 available for investment during the coming year. However, state laws and pesky stakeholders impose certain restrictions on choice of investment instruments. Risk-free securities may not exceed 30% of total funds available for investment. Unsecured loans may not exceed 10% of total funds invested in loans. The funds invested in automobile loans must not be less than the total of funds invested in furniture and other secured loans. The average risk factor may not exceed 60, and the average liquidity factor must be at least 40. (14) Check/shade ALL that apply. There are seven decision variables ____ There are six constraints (not counting non-negativity).____ We determine the average risk factor by summing risk values and dividing by 7.____ Risk-free security total investment may exceed $800,000.____ All $2,000,000 must be invested.____ This is a maximization problem.____ This problem cannot be run as an integer program.____ Patient Nurse Warren Xavier Yolanda Zanthia Amy 20 25 15 12 Brenda 15 18 27 20 Connor 32 22 17 23 Danielle 41 16 12 28 Emily 24 29 19 16 The optimal solution is: The objective function value = _________. If we formulated this as a linear program, how many decision variables would we have? If we added a fifth patient, would she be assigned to Emily? Explain This is an integer program. (True / False)
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