2024知到网课 DATA, MODEL AND DECISION智慧树答案

第一章 单元测试

1、单选题：The purpose of break-even analysis is to determine the number of units of a product to sell or produce that will equate total revenue with total cost. At the break-even point, the profit is ( ) zero.
A:less than
B:equal to
C:more than
正确答案:【equal to】

2、单选题：In general, an increase in variable costs will（）the break-even point, all other things held constant.
A:decrease
B:not change
C:increase
正确答案:【increase】

3、多选题：It’s important to make full use of techniques in management science process, which techniques are commonly used for the purpose of decision-making（）?
A:Decision analysis
B:Transportation and assignment
C:Project management (like CPM/PERT)
D:Linear programming models
正确答案:【Decision analysis;
Transportation and assignment;
Project management (like CPM/PERT);
Linear programming models】

4、判断题：Manufacturing companies develop linear programming models to help decide how many units of different products they should produce to maximize their profit (or minimize their cost), given scarce resources such as capital, labor, and facilities. ( ）
A:错
B:对
正确答案:【对】

第二章 单元测试

1、单选题：If the graphical method is used to solve the linear programming problem, the number of decision variables should be ( ).
A:2
B:≤5
C:No limitation
D:≥3
正确答案:【2】

2、单选题：In the linear programming model, ( ) restrict the decision variables to zero or positive values.
A:The features of variables
B:Objective function
C:Resource requirements
D:Nonnegativity constraints
正确答案:【Nonnegativity constraints】

3、单选题：If the optimal solution of the linear programming problem is reached at two vertices of feasible domain at the same time, then the optimal solution has ( ).
A:A straight line connecting two vertices
B:It’s impossible
C:A line segment connecting two vertices
D:Two solutions
正确答案:【A line segment connecting two vertices】

4、单选题：The following features of standard form of Linear programming are correct（）.
A:The decision variables are nonnegative
B:The decision variables are not equal to zero
C:None of above is true
D:There is no limit to the symbol of decision variables
正确答案:【The decision variables are nonnegative】

5、判断题：The optimal solution of the linear programming problem must be the feasible solution. （）
A:错
B:对
正确答案:【对】

第三章 单元测试

1、单选题：Given that a linear programming problem is as following, the optimal solution of dual problem is ( ).
A:Y= (1,0,3/5,4/5)
B:Y= (4/5,3/5,1,0)
C:Y= (0,3/5,1,4/5)
D:Y= (0,3/5,4/5,1)
正确答案:【Y= (4/5,3/5,1,0)】

2、单选题：The following statements of 100% rule of objective function coefficient is correct（）.
A:None of above is correct.
B:The sum of all changed coefficients percentages of allowable increase and allowable decrease equals 100%, the optimal solution won’t change.
C:The sum of all changed coefficients percentages of allowable increase and allowable decrease does not reach 100%, the optimal solution won’t change.
D:Only can increasing coefficients follow this 100% rule.
正确答案:【The sum of all changed coefficients percentages of allowable increase and allowable decrease does not reach 100%, the optimal solution won’t change.】

3、判断题：The duality of a dual problem is not necessarily the primal problem. ( ）
A:错
B:对
正确答案:【错】

4、判断题：Shadow price is actually a marginal price. ( ）
A:对
B:错
正确答案:【对】

5、判断题：If the primal problem of linear programming adds a constraint, it is equivalent to adding a variable to the dual problem.（）
A:错
B:对
正确答案:【对】

第四章 单元测试

1、单选题：Please solve the following integer problem and get the maximum Z= ( ).
A:Z=3
B:Z=4
C:Z=5
正确答案:【Z=4】

2、单选题：A drilling team needs to determine 5 exploration wells from 10 alternative wells to minimize the total drilling cost. If 10 wells are represented by s1, s2, …s10, the costs being c1, c2, …c10, one of constraints is: if the plan chooses s3 or s4, then s5 cannot be selected and vice versa. We set a 0-1 variable, xj(j=1, 2, …10), then this constraint can be expressed ( )
A:x3+x5≤1, x4+x5≤1
B:x3+x5≥1, x4+x5≥1
C:x3+x4+x5≤1
D:x3+x5=1, x4+x5=1
正确答案:【x3+x5≤1, x4+x5≤1】

3、判断题：Branch-and-cut technique is only suitable for solving pure integer programming problems. ( ）
A:对
B:错
正确答案:【错】

4、判断题：Simply rounding off non-integer simplex solution values for models requiring integer solutions is not always appropriate. Rounding can often lead to suboptimal results. ( ）
A:对
B:错
正确答案:【对】