Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Mutilnational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following is the constraint for investment in low-priced and multinational funds?单项选择题

A

X1 + X2 + X3 + X4 + X5 + X6 ≥ 0.35(750,000)

B

((X1+X2)/750000)≥ 0.35

C

((X1+X2)/750000)≥ 0.35(750,000)

D

X1 + X2 ≥ 0.35(750,000)

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Question textConsider the following linear program: The initial simplex tableau for a problem is: [table] x₁ | x₂ | x₃ | x₄ | x₅ | b 2 | 1 | - 2 | 1 | 0 | 8 1 | 2 | 4 | 0 | 1 | 6 -4 | -5 | -6 | 0 | 0 | 10 [/table] Carry out one iteration of the primal simplex method. Choose the entering variable that results in the maximum improvement in the objective value. What is the current objective value? Answer 1 Question 3[input] What value in the current basic solution of the dual variable for the first constraint? Answer 2 Question 3[input] The current solution is: Answer 3 Question 3[select: , Both primal & dual feasible, Only primal feasible, Only dual feasible, neither primal nor dual feasible] Which variable should enter the basis to yield the maximum decrease in the objective value? Answer 4 Question 3[select: , x₁, x₂, x₃, x₄, x₅] Which variable leaves the basis? Answer 5 Question 3[select: , x₁, x₂, x₃, x₄, x₅] What is the objective value after this single pivot? Answer 6 Question 3[input]

Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Mutilnational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following describes the constraint on the mid-cap fund?

Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Mutilnational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following is the constraint for the weighted return?

Qualis Investments is a private limited business that manages personal financial portfolios. The company manages six mutual funds and has a client that has acquired $750,000 from an inheritance. Characteristics of the funds are given in the table below. Qualis Mutual Fund Data Expected Annual Return Risk Measure 1 Qualis Low-priced Stock Fund 7.23% 11.87 2 Qualis Mutilnational Fund 8.42% 12.62 3 Qualis Mid-cap Stock Fund 6.66% 13.72 4 Qualis Mortgage Fund 2.72% 3.37 5 Qualis Income Equity Fund 8.89% 8.4 6 Qualis Balanced 3.50% 6.91 The company recommends that no more than $300,000 be invested in any individual fund, and that at least $80,000 be invested in each of the mid-cap stock and mortgage fund. The total amount invested in the low-priced and multinational funds are at least 35% of the total investment. The client would like an average return of at least 6%. Assume that X1- X6 represent the dollar amounts invested in funds 1 through 6, respectively. Which of the following is the objective function minimize total risk?

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