江西财经大学 05-06学年第二学期期末考试试卷 试卷代码:03883B卷 课时:64 课程名称:运筹学I(英) 适用对象:04管理科学专业 1. Fill in the blanks (10 points) (a)In transportation problem, there are three methods to construct an initial BF solution, they are ①②③ (b)The four assumptions of linear programming are ②③④ (c)Write the following special linear programming model OThe general model of transportation problem is 2The general model of assignee problem is 3The general model of min-cost flow problem is 2. An investor has money-making activities A and B available at the beginning of each of the next 5 years(call them years 1 to 5). Each dollar invested in A at the beginning of a year returns $1. 40(a profit of $0. 40)two years later(in time for immediate reinvestment). Each dollar invested in B at the beginning of a year returns $1.70 three years later In addition, money-making activities C and d will each be available at one time in the future. Each dollar invested in C at the beginning of year 2 returns $1.90 at the end of year 5. Each dollar invested in d at the beginning of year 5 returns 1. 30 at the nd of year 5 The investor begins with $60000 and wishes to know which investment plan maximizes the amount of money that can be accumulated by the beginning of year 6 Formulate a linear programming model for this problem. (10 points 3. The BUILD-FAST COMPANY has agreed to supply is best customer with three widgets during each of the next 3 weekS, even though producing them will require some overtime work. The relevant production data are as follows week Maximum production, Maximum production, Production cost per Regular time Overtime unit, Regular time(s)1 江西财经大学 05-06 学年第二学期期末考试试卷 试卷代码：03883B 卷 课时：64 课程名称：运筹学 I（英） 适用对象：04 管理科学专业 1.Fill in the blanks. (10 points) (a) In transportation problem, there are three methods to construct an initial BF solution, they are ① ; ② ③ . (b) The four assumptions of linear programming are: ① ; ② ; ③ ④ 。 (c)Write the following special linear programming model: ①The general model of transportation problem is ②The general model of assignee problem is . ③The general model of min-cost flow problem is . 2. An investor has money-making activities A and B available at the beginning of each of the next 5 years (call them years 1 to 5). Each dollar invested in A at the beginning of a year returns $1.40 (a profit of $0.40) two years later (in time for immediate reinvestment). Each dollar invested in B at the beginning of a year returns $1.70 three years later. In addition, money-making activities C and D will each be available at one time in the future. Each dollar invested in C at the beginning of year 2 returns $1.90 at the end of year 5. Each dollar invested in D at the beginning of year 5 returns 1.30 at the end of year 5. The investor begins with $60000 and wishes to know which investment plan maximizes the amount of money that can be accumulated by the beginning of year 6. Formulate a linear programming model for this problem. (10 points) 3. The BUILD-FAST COMPANY has agreed to supply is best customer with three widgets during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows: week Maximum production, Regular time Maximum production, Overtime Production cost per unit, Regular time($)