Question 1

How can the following Linear Program be characterized? 
Min X + Y
Subject to
X ? 20
Y ? -5
X + Y ? 23

Accepted Answer

A) bounded and feasible 
B) unbounded and feasible 
C) bounded and infeasible 
D) unbounded and infeasible 
E) this is not a Linear Program 
A) bounded and feasible 
B) unbounded and feasible 
C) bounded and infeasible 
D) unbounded and infeasible 
E) this is not a Linear Program

Question 2

A feasible solution to an optimization problem is a particular combination of decision variables that satisfies some of the constraints.

Accepted Answer

A) True 
 B)False

Question 3

The ________________________ for a constraint is the amount the optimal objective value will change if the right-hand-side of the constraint is increased by one unit.

Accepted Answer

A) Changing Price 
B) Opportunity Cost 
C) Shadow Price 
D) Opportunity Price 
E) Shadow Cost 
A) Changing Price 
B) Opportunity Cost 
C) Shadow Price 
D) Opportunity Price 
E) Shadow Cost

Question 4

For an optimization problem a(an)__________________ violates at least one of the constraints.

Accepted Answer

A) infeasible solution 
B) inoptimal solution 
C) suboptimal solution 
D) unbounded solution 
E) simplex solution 
A) infeasible solution 
B) inoptimal solution 
C) suboptimal solution 
D) unbounded solution 
E) simplex solution

Question 5

What does LP stand for?

Accepted Answer

A) Linear Partition 
B) Linear Program 
C) Large-Scale Program 
D) Linear Parameter 
E) Linear Parallelism 
A) Linear Partition 
B) Linear Program 
C) Large-Scale Program 
D) Linear Parameter 
E) Linear Parallelism

Question 6

Uhura Enterprises provides consulting services for customers. Consultants are brought in for two-hour shifts. A consultant will spend one full hour with a customer. The customers remain for that hour and then leaves. Each consultant is paid $25 per hour. Let Xi  represent the number of consultants starting their shift at hour i, (i = 1,2,3,4). The firm wishes to minimize salary costs while satisfying demand. Customer demand is as follows. 
1:00-2:00 4
2:00-3:00 5
3:00-4:00 10
4:00-5:00 4
5:00-6:00 8
Suppose that if consultants start shifts at both 1:00 and 2:00, then the firm will incur an additional fixed cost of $100 (for secretarial support). Let Y be a binary (0-1)variable that equals 1 if this event occurs, and 0 otherwise. Which of the following would "activate" Y variables.)

Accepted Answer

A) X1 + X2 ? 5000Y 
B) X1 ? 5000Y and X2 ? 5000Y 
C) X1 + X2 ? 5000Y 
D) X1 + X2 ? Y 
E) X1 ? 5000q1 and X2 ? 5000q2 and q1 + q2 ? 1 + Y 
A) X1 + X2 ? 5000Y 
B) X1 ? 5000Y and X2 ? 5000Y 
C) X1 + X2 ? 5000Y 
D) X1 + X2 ? Y 
E) X1 ? 5000q1 and X2 ? 5000q2 and q1 + q2 ? 1 + Y

Question 7

If C represents the number of chairs produced, which of the following is a proper non-negativity constraint?

Accepted Answer

A) C ≠ 0 B) C > 0 C) C ≥ 0 D) C < 0 E) C ≤ 0 A) C ≠ 0 B) C > 0 C) C ≥ 0 D) C < 0 E) C ≤ 0

Question 8

The algebraic formulation of an optimization problem must state what three things?

Accepted Answer

A) decision variables, random variables, and parameters 
B) decision variables, random variables, and constraints 
C) decision variables, random variables, and objective function 
D) random variables, parameters, and objective function 
E) decision variables, objective function, and constraints 
A) decision variables, random variables, and parameters 
B) decision variables, random variables, and constraints 
C) decision variables, random variables, and objective function 
D) random variables, parameters, and objective function 
E) decision variables, objective function, and constraints

Question 9

Consider the following constraints from a two-variable Linear Program. 
(1)X ? 0
(2)Y ? 0
(3)X + Y ? 50
If constraints (2)and (3)are binding, what is the optimal solution (X, Y)?

Accepted Answer

A) (0, 0) 
B) (0, 50) 
C) (50, 0) 
D) (50, 50) 
E) not enough information is provided to answer the problem 
A) (0, 0) 
B) (0, 50) 
C) (50, 0) 
D) (50, 50) 
E) not enough information is provided to answer the problem

Question 10

What do you need to do before using Solver?

Accepted Answer

A) take an Excel class 
B) enter solver settings into Excel 
C) define all constraints 
D) enter Solver options 
E) have a working, flexible spreadsheet model 
A) take an Excel class 
B) enter solver settings into Excel 
C) define all constraints 
D) enter Solver options 
E) have a working, flexible spreadsheet model

Question 11

Which type of constraint does not allow the solution for a decision variable of an optimization problem to be less than zero?

Accepted Answer

A) negativity 
B) positivity 
C) anti-negativity 
D) feasibility 
E) non-negativity 
A) negativity 
B) positivity 
C) anti-negativity 
D) feasibility 
E) non-negativity

Question 12

A caterer must prepare from five fruit drinks in stock exactly 500 gallons of a punch containing at least 20% orange juice, 10% grapefruit juice, and 5% cranberry juice. If inventory data are as shown below, formulate a linear program that can be used to determine the optimal quantity of each fruit drink that the caterer should use to obtain the required composition at minimum total cost.

Accepted Answer

Let A = the number of gallons of drink A

Question 13

Explain what differentiates a Linear Program from a Nonlinear Program.

Accepted Answer

All of the relationships among the decis

Question 14

Constrained optimization models can be used to either ____________ or ___________ some quantity based on a set of constraints

Accepted Answer

The answer of Constrained optimization models can be used to...

Question 15

Capital Co. is considering which of five different projects to undertake in order to maximize its net present value (NPV). Define Xi as a binary (0-1)variable that equals 1 if project i is undertaken and 0 otherwise, for i = 1,2,3,4,5. The NPV and required capital (in thousands)for each project are listed below.  
What is the proper objective function?

Accepted Answer

A) Max X1 + X2 + X3 + X4 + X5 
B) Min 60X1 + 50X2 + 40X3 + 20X4 + 30X5 
C) Max 7X1 + 10X2 + 6X3 + 3X4 + 12X5 
D) Max 60X1 + 50X2 + 40X3 + 20X4 + 30X5 
E) Min 7X1 + 10X2 + 6X3 + 3X4 + 12X5 
A) Max X1 + X2 + X3 + X4 + X5 
B) Min 60X1 + 50X2 + 40X3 + 20X4 + 30X5 
C) Max 7X1 + 10X2 + 6X3 + 3X4 + 12X5 
D) Max 60X1 + 50X2 + 40X3 + 20X4 + 30X5 
E) Min 7X1 + 10X2 + 6X3 + 3X4 + 12X5

Question 16

Describe the primary advantage of optimization modeling.

Accepted Answer

It can simultaneously consider

Question 17

Describe guidelines for spreadsheet model development.

Accepted Answer

(1)Develop a correct, flexible, and docu

Question 18

Uhura Enterprises provides consulting services for customers. Consultants are brought in for two-hour shifts. A consultant will spend one full hour with a customer. The customers remain for that hour and then leave. Each consultant is paid $25 per hour. Let Xi  represent the number of consultants starting their shift at hour i, (i = 1,2,3,4). The firm wishes to minimize salary costs while satisfying demand. Customer demand is as follows. 
1:00-2:00 4
2:00-3:00 5
3:00-4:00 10
4:00-5:00 4
5:00-6:00 8
What is the proper objective function?

Accepted Answer

A) Min 4X1 + 5X2 + 10X3 + 4X4 
B) Min 9X1 + 15X2 + 14X3 + 12X4 
C) Max 9X1 + 15X2 + 14X3 + 12X4 
D) Max 25X1 + 25X2 + 25X3 + 25X4 
E) Min 50X1 + 50X2 + 50X3 + 50X4 
A) Min 4X1 + 5X2 + 10X3 + 4X4 
B) Min 9X1 + 15X2 + 14X3 + 12X4 
C) Max 9X1 + 15X2 + 14X3 + 12X4 
D) Max 25X1 + 25X2 + 25X3 + 25X4 
E) Min 50X1 + 50X2 + 50X3 + 50X4

Question 19

A constraint in Excel Solver consists of what three pieces of information?

Accepted Answer

(1)Cell Reference, (

Question 20

Consider the following three functions:
 g(x, y)= 4x - 3y + 21
H(x, y, z)= 13x2 + y + 3z
I(z)= z
Which of the following is true regarding the linearity of the functions?

Accepted Answer

A) none of the functions is linear 
B) all three functions are linear 
C) h is linear, but g and i are not linear 
D) i is linear, but g and h are not linear 
E) g and i are linear, but h is not linear 
A) none of the functions is linear 
B) all three functions are linear 
C) h is linear, but g and i are not linear 
D) i is linear, but g and h are not linear 
E) g and i are linear, but h is not linear

How can the following Linear Program be characterized? Min X + Y Subject to X ? 20 Y ? -5 X + Y ? 23

A feasible solution to an optimization problem is a particular combination of decision variables that satisfies some of the constraints.

The ________________________ for a constraint is the amount the optimal objective value will change if the right-hand-side of the constraint is increased by one unit.

For an optimization problem a(an)__________________ violates at least one of the constraints.

What does LP stand for?

If C represents the number of chairs produced, which of the following is a proper non-negativity constraint?

The algebraic formulation of an optimization problem must state what three things?

Consider the following constraints from a two-variable Linear Program. (1)X ? 0 (2)Y ? 0 (3)X + Y ? 50 If constraints (2)and (3)are binding, what is the optimal solution (X, Y)?

What do you need to do before using Solver?

Which type of constraint does not allow the solution for a decision variable of an optimization problem to be less than zero?

Explain what differentiates a Linear Program from a Nonlinear Program.

Constrained optimization models can be used to either __ or _ some quantity based on a set of constraints

Describe the primary advantage of optimization modeling.

Describe guidelines for spreadsheet model development.

A constraint in Excel Solver consists of what three pieces of information?

Consider the following three functions: g(x, y)= 4x - 3y + 21 H(x, y, z)= 13x² + y + 3z I(z)= z Which of the following is true regarding the linearity of the functions?

Introduction to Operations Management

Operations Strategy and Competitiveness

Product Design and Process Selection

E-Commerce and Supply Chain Management

Total Quality Management

Statistical Quality Control

Just-In-Time and Lean Systems

Forecasting

Capacity Planning and Facility Location

Facility Layout

Work System Design

Independent Demand Inventory Management

Aggregate Planning

Resource Planning

Scheduling

Project Management

Spreadsheet Modeling: an Introduction

Waiting Line Models

Master Scheduling and Rough-Cut Capacity Planning

Filters

Exam 17: Spreadsheet Modeling: an Introduction

How can the following Linear Program be characterized? Min X + Y Subject to X ? 20 Y ? -5 X + Y ? 23

A feasible solution to an optimization problem is a particular combination of decision variables that satisfies some of the constraints.

The ________________________ for a constraint is the amount the optimal objective value will change if the right-hand-side of the constraint is increased by one unit.

For an optimization problem a(an)__________________ violates at least one of the constraints.

What does LP stand for?

If C represents the number of chairs produced, which of the following is a proper non-negativity constraint?

The algebraic formulation of an optimization problem must state what three things?

Consider the following constraints from a two-variable Linear Program. (1)X ? 0 (2)Y ? 0 (3)X + Y ? 50 If constraints (2)and (3)are binding, what is the optimal solution (X, Y)?

What do you need to do before using Solver?

Which type of constraint does not allow the solution for a decision variable of an optimization problem to be less than zero?

Explain what differentiates a Linear Program from a Nonlinear Program.

Constrained optimization models can be used to either ____________ or ___________ some quantity based on a set of constraints

Describe the primary advantage of optimization modeling.

Describe guidelines for spreadsheet model development.

A constraint in Excel Solver consists of what three pieces of information?

Consider the following three functions: g(x, y)= 4x - 3y + 21 H(x, y, z)= 13x2 + y + 3z I(z)= z Which of the following is true regarding the linearity of the functions?

Introduction to Operations Management

Operations Strategy and Competitiveness

Product Design and Process Selection

E-Commerce and Supply Chain Management

Total Quality Management

Statistical Quality Control

Just-In-Time and Lean Systems

Forecasting

Capacity Planning and Facility Location

Facility Layout

Work System Design

Independent Demand Inventory Management

Aggregate Planning

Resource Planning

Scheduling

Project Management

Spreadsheet Modeling: an Introduction

Waiting Line Models

Master Scheduling and Rough-Cut Capacity Planning

Filters

Constrained optimization models can be used to either __ or _ some quantity based on a set of constraints

Consider the following three functions: g(x, y)= 4x - 3y + 21 H(x, y, z)= 13x² + y + 3z I(z)= z Which of the following is true regarding the linearity of the functions?