” 写作MSBA7003程序、Python，c++语言程序 辅导、 辅导Java编程MSBA7003 Quantitative Analysis MethodsAssignment 3 (Due October 22 at 09:00 a.m.; Please submit your solutions with thetemplate)Q1.Consider the following linear programming problem. Which of the following statement(s)is(are) true?A) The corner points of the feasible region are (x1,x2) = (0,0), (0,3), (4,0), and (4,2).B) The optimal solution is (x1,x2) = (4,2).C) There is a redundant constraint.D) There are infinitely many optimal solutions.E) None of the above.Q2.A winner of the Texas Lotto has decided to invest partly or entirely his award of $50,000 inthe stock market. Under consideration are stocks for a petrochemical firm and a publicutility. Being discreet, this person decides to minimize the risk of the investment as long as atotal return of 8% (i.e., $4,000) is generated. A risk index on a scale of 1-10 (with 10 beingthe most risky) is assigned to each of the two stocks. Cash savings will generate zero returnbut will have zero risk. The total risk of the portfolio is found by multiplying the risk of eachstock by the dollars invested in that stock and then summing them up. The following tableprovides a summary of the return and risk:Stock Estimated Return Risk IndexPetrochemical 12% 9Utility 6% 4Which of the following statement(s) is(are) true?A) The optimal solution is to invest $33,333 in the utility stock and $16,667 in the otherstock.B) If the investor wants to keep at least $10,000 as cash, the optimal solution will notchange.C) If the risk of the petrochemical stock is reduced to 8, the optimal solution will not change.D) If the return rate of the utility stock is increased to 7%, the optimal solution will notchange.E) None of the above.Q3.Consider the worker scheduling problem in the lecture notes (Chapter 6, page 7). Supposethat the post office can force employees to work one day of overtime each week on the dayimmediately following this five-day shift. For example, an employee whose regular shift isMonday to Friday can also be required to work on Saturday. Each employee is paid $100 aday for each of the first five days worked during the week and $124 for the overtime day (ifany). The goal of the post office is to minimize the cost of meeting its weekly workrequirements. Which of the following statement(s) is(are) true?A) The minimum total weekly cost is $11,540.B) In the optimal solution, the post office needs six workers to start working on Monday.C) In the optimal solution, the post office needs four workers to work overtime on Monday.D) In the optimal solution, the post office does not need any workers to start working onFriday.E) None of the above.Q4.The Salem Board of Education wants to evaluate the efficiency of the towns fourelementary schools. The three outputs of these schools are: (1) average reading score, (2)average mathematics score, and (3) average self-esteem score. The three inputs to theseschools are: (1) average educational level of mothers (defined by highest grade completed:12 = high school graduate, 16 = college graduate, and so on), (2) number of parent visits toschool (per child), and (3) teacher-to-student ratio. The relevant information for the fourschools is given in the table below.School Input 1 Input 2 Input 3 Output 1 Output 1 Output 3A 14.5 3 0.25 3.5 2.7 3B 13 2 0.13 3.3 2.5 2.4C 15.5 4 0.28 3.8 3 3.3D 16.2 3 0.33 4 3.8 4Which of the following statement(s) is(are) true?A) If we assume constant returns to scale, school A is efficient.B) If we assume constant returns to scale, school D is not effcient.C) If we assume non-constant returns to scale, school A is efficient.D) If we assume non-constant returns to scale, school C is efficient.E) None of the above.如有需要，请加QQ：99515681 或邮箱：99515681@qq.com
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