Aurora wishes to invest up to her full inheritance of $800,000, and her goal is to minimize her risk subject to an expected annual return of at least $85,000. She has decided to invest her money in any of three possible ways- Certificate of Deposit (CDs), which pay a guaranteed 6.5 percent; stocks, which have an expected return of 18 percent; and a money market mutual fund, which is expected to return 9 percent. Risk factors are 1.5 for the CDs, 3.9 for the stocks, and 2.1 for the money market fund. The amount invested in stocks should not be more than 30% of total investment. (Note: The total risk of the portfolio is found by multiplying the risk factor of each investment by the dollars invested in that investment.) Let C be the amount (in dollars) invested in Certificate of Deposit (CDs); S be the amount (in dollars) invested in stocks: and M be the amount (in dollars) invested in the money market mutual fund. The objective function is: None of the answers provided is correct Maximize 1.5C+3.9S+2.1M Maximize 0.065C+0.18S+0.09M Minimize 1.5C+3.9S+2.1M Minimize 0.065C+0.18S+0.09M Aurora wishes to invest up to her full inheritance of $800,000. Which constraint describes this investment restriction? C+S+M800000 None of the answers provided is correct. C+S+M8000000.065C+0.18S+0.09M8000000.065C+0.18S+0.09M800000 One of the requirements of this investment is to obtain an expected annual return of at least $85,000. Which constraint describes this requirement? None of the answers provided is correct. 6.5C+18S+9M850001.5C+3.9S+2.1M850000.065C+0.18S+0.09M850000.065C+0.18S+0.09M85000 The amount invested in stocks should not be more than 30% of total investment. Which constraint describes this restriction? S30S0.3(C+S+M)S0.3(C+S+M) None of the answers provided is correct. S0.3 What is the simplified form of constraint, S0.3(C+S+M)? 0.3C+0.7S0.3M00.3C+0.7S0.3M0 None of the answers provided is correct. S0.30S30 What is the optimal solution to this Linear Programming problem? C=$0;S=$0;M=$40,476.20C=$344,000;S=$240,000;M=$216,000$1,905,600C=$5,979.90;S=$2,562.81;M=$0 None of the answers provided is correct. What is the minimum value of the objective function (i.e., the minimum risk value)? $800,000$18,964.80$1,905,600$3,642.86 None of the answers provided is correct. Which constraint(s. is/are not binding? None of the answers provided is correct. Constraint, S0.3(C+S+M) All constraints Constraint, 0.065C+0.18S+0.09M85000 Constraint, S30 What is the slack/surplus of constraint 0.3C+0.7S0.3M0? 34400080000085000 None of the answers provided is correct. Would the optimal solution change if the risk factor for money market mutual fund increases to 2.5 and all other risk factors are unchanged? All constraints would change The optimal solution would not change The optimal solution would change None of the answers provided is correct. At least one constraint would change What would happen if the risk factor for stocks increases to 4.2 and all other risk factors are unchanged? None of the answers provided is correct. All constraints would change At least one constraint would change The optimal solution would not change The optimal solution would change What would happen if the right side of constraint 0.065C+0.18S+0.09M85000 increases by 5000 ; that is 0.065C+0.18S+0.09M90000 and all other constraints are unchanged? None of the answers provided is correct. The optimal value of the objective function would decrease by approximately $840. The optimal value of the objective function would increase by approximately $120,000. Constraint 0.065C+0.18S+0.09M85000 would become a non-binding constraint The optimal value of the objective function would stay the same. What would happen if the right-hand side of constraint C+S+M800000 increases by $10,000; that is, C+S+M810000 and all other constraints are unchanged? This constraint would become a binding constraint The optimal value of the objective function would increase by approximately $1,115.58. The optimal value of the objective function would stay the same. The optimal value of the objective function would decrease by approximately $1,680 None of the answers provided is correct. Would the optimal solution of the model change if we added constraint C+S+M 900000 to the model? Yes, because the unboundedness situation would happen. None of the answers provided is correct. Yes, because the added constraint would change the optimal solution No, because the added constraint is redundant. Yes, because the infeasibility situation would happen. How much the right side of constraint 0.065C+0.18S+0.09M85000 can increase for its shadow price to be still relevant? Up to $1,595,000 Up to $5,400 Up to $8,600. Up to $54,271.36 None of the answers provided is correct