Question 1

A facility produces two products.The labor constraint in hours)is formulated as: 350x1+300x2 ≤ 10,000.The
Number 350 means that

Accepted Answer

A) one unit of product 1 contributes $350 to the objective function. 
B) one unit of product 1 uses 350 hours of labor. 
C) the problem is unbounded. 
D) the problem has no objective function. 
A) one unit of product 1 contributes $350 to the objective function. 
B) one unit of product 1 uses 350 hours of labor. 
C) the problem is unbounded. 
D) the problem has no objective function.

Question 2

Which of the following special conditions in an LP model represent potential errors in the mathematical formulation?

Accepted Answer

A) Alternate optimum solutions and infeasibility 
B) Redundant constraints and unbounded solutions 
C) Infeasibility and unbounded solutions 
D) Alternate optimum solutions and redundant constraints 
A) Alternate optimum solutions and infeasibility 
B) Redundant constraints and unbounded solutions 
C) Infeasibility and unbounded solutions 
D) Alternate optimum solutions and redundant constraints

Question 3

The following linear programming problem has been written to plan the production of two products.The company wants to maximize its profits.
X1 = number of product 1 produced in each batch X2 = number of product 2 produced in each batch
MAX: 150 X1 + 250 X2
Subject to: 2 X1 + 5 X2 ≤ 200
3 X1 + 7 X2 ≤ 175 X1,X2 ≥ 0
How much profit is earned if the company produces 10 units of product 1 and 5 units of product 2?

Accepted Answer

A) 750 
B) 2500 
C) 2750 
D) 3250 
A) 750 
B) 2500 
C) 2750 
D) 3250

Question 4

Linear programming problems have

Accepted Answer

A) linear objective functions,non-linear constraints. 
B) non-linear objective functions,non-linear constraints. 
C) non-linear objective functions,linear constraints. 
D) linear objective functions,linear constraints. 
A) linear objective functions,non-linear constraints. 
B) non-linear objective functions,non-linear constraints. 
C) non-linear objective functions,linear constraints. 
D) linear objective functions,linear constraints.

Question 5

Solve the following LP problem graphically using level curves.
MAX: 5 X1 + 6 X2
Subject to: 3 X1 + 8 X2 ≤ 48
12 X1 + 11 X2 ≤ 132
2 X1 + 3 X2 ≤ 24 X1,X2 ≥ 0

Accepted Answer

Obj = 57.4

Question 6

When the objective function can increase without ever contacting a constraint the LP model is said to be

Accepted Answer

A) infeasible. 
B) open ended. 
C) multi-optimal. 
D) unbounded. 
A) infeasible. 
B) open ended. 
C) multi-optimal. 
D) unbounded.

Question 7

A linear formulation means that:

Accepted Answer

A) the objective function and all constraints must be linear 
B) only the objective function must be linear 
C) at least one constraint must be linear 
D) no more than 50% of the constraints must be linear 
A) the objective function and all constraints must be linear 
B) only the objective function must be linear 
C) at least one constraint must be linear 
D) no more than 50% of the constraints must be linear

Question 8

A production optimization problem has 4 decision variables and a requirement that at least b1 units of material 1 are consumed.Which of the following constraints reflects this fact?

Accepted Answer

A) fX1,X2,X3,X4)≤ b1 
B) fX1,X2,X3,X4)≥ b1 
C) fX1,X2,X3,X4)= b1 
D) fX1,X2,X3,X4)≠ b1 
A) fX1,X2,X3,X4)≤ b1 
B) fX1,X2,X3,X4)≥ b1 
C) fX1,X2,X3,X4)= b1 
D) fX1,X2,X3,X4)≠ b1

Question 9

What is the goal in optimization?

Accepted Answer

A) Find the decision variable values that result in the best objective function and satisfy all constraints. 
B) Find the values of the decision variables that use all available resources. 
C) Find the values of the decision variables that satisfy all constraints. 
D) None of these. 
A) Find the decision variable values that result in the best objective function and satisfy all constraints. 
B) Find the values of the decision variables that use all available resources. 
C) Find the values of the decision variables that satisfy all constraints. 
D) None of these.

Question 10

The Happy Pet pet food company produces dog and cat food.Each food is comprised of meat,soybeans and fillers.The company earns a profit on each product but there is a limited demand for them.The pounds of ingredients required and available,profits and demand are summarized in the following table.The company wants to plan their product mix,in terms of the number of bags produced,in order to maximize profit.
 $$\begin{array} { l c c c c c } 
\hline & \begin{array} { c } 
\text { Prafit per } \
\text { Bag } 5 \text { ) }
\end{array} & \begin{array} { c } 
\text { Demand for } \
\text { product }
\end{array} & \begin{array} { c } 
\text { Pounds af } \
\text { Meat per bag }
\end{array} & \begin{array} { c } 
\text { Paunds af } \
\text { Soybeans per bag }
\end{array} & \begin{array} { c } 
\text { Paunds af } \
\text { Filler per } \
\text { beg }
\end{array} \
\hline \text { Praduct } & 4 & 40 & 4 & 6 & 4 \
\text { Dag faod } & 4 & 30 & 5 & 3 & 10
\end{array}$$ 
Material available pounds)100 120 160 
a.Formulate the LP model for this problem.
b.Solve the problem using the graphical method.

Accepted Answer

a.Let XS1U1B11 S1U1B0= bags of Dog food to produce
XS1U1B12 S1U1B0=

Question 11

Which of the following fields of business analytics finds the optimal method of using resources to achieve the objectives of a business?

Accepted Answer

A) Simulation 
B) Regression 
C) Mathematical programming 
D) Discriminant analysis 
A) Simulation 
B) Regression 
C) Mathematical programming 
D) Discriminant analysis

Question 12

Retail companies try to find

Accepted Answer

A) the least costly method of transferring goods from warehouses to stores. 
B) the most costly method of transferring goods from warehouses to stores. 
C) the largest number of goods to transfer from warehouses to stores. 
D) the least profitable method of transferring goods from warehouses to stores. 
A) the least costly method of transferring goods from warehouses to stores. 
B) the most costly method of transferring goods from warehouses to stores. 
C) the largest number of goods to transfer from warehouses to stores. 
D) the least profitable method of transferring goods from warehouses to stores.

Question 13

Why do we study the graphical method of solving LP problems?

Accepted Answer

A) Lines are easy to draw on paper. 
B) To develop an understanding of the linear programming strategy. 
C) It is faster than computerized methods. 
D) It provides better solutions than computerized methods. 
A) Lines are easy to draw on paper. 
B) To develop an understanding of the linear programming strategy. 
C) It is faster than computerized methods. 
D) It provides better solutions than computerized methods.

A facility produces two products.The labor constraint in hours)is formulated as: 350x₁+300x₂≤ 10,000.The Number 350 means that

Which of the following special conditions in an LP model represent potential errors in the mathematical formulation?

Linear programming problems have

Solve the following LP problem graphically using level curves. MAX: ^{5 X}₁^{+ 6 X}₂ Subject to: ^{3 X}₁^{+ 8 X}₂^{≤ 48} 12 X₁+ 11 X₂≤ 132 2 X₁+ 3 X₂≤ 24 X₁,X₂≥ 0

When the objective function can increase without ever contacting a constraint the LP model is said to be

A linear formulation means that:

A production optimization problem has 4 decision variables and a requirement that at least b₁units of material 1 are consumed.Which of the following constraints reflects this fact?

What is the goal in optimization?

Which of the following fields of business analytics finds the optimal method of using resources to achieve the objectives of a business?

Retail companies try to find

Why do we study the graphical method of solving LP problems?

Introduction to Modeling and Decision Analysis

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming and Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

Filters

Exam 2: Introduction to Optimization and Linear Programming

A facility produces two products.The labor constraint in hours)is formulated as: 350x1+300x2 ≤ 10,000.The Number 350 means that

Which of the following special conditions in an LP model represent potential errors in the mathematical formulation?

Linear programming problems have

Solve the following LP problem graphically using level curves. MAX: 5 X1 + 6 X2 Subject to: 3 X1 + 8 X2 ≤ 48 12 X1 + 11 X2 ≤ 132 2 X1 + 3 X2 ≤ 24 X1,X2 ≥ 0

When the objective function can increase without ever contacting a constraint the LP model is said to be

A linear formulation means that:

A production optimization problem has 4 decision variables and a requirement that at least b1 units of material 1 are consumed.Which of the following constraints reflects this fact?

What is the goal in optimization?

Which of the following fields of business analytics finds the optimal method of using resources to achieve the objectives of a business?

Retail companies try to find

Why do we study the graphical method of solving LP problems?

Introduction to Modeling and Decision Analysis

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming and Evolutionary Optimization

Regression Analysis

Data Mining

Time Series Forecasting

Introduction to Simulation Using Analytic Solver Platform

Queuing Theory

Decision Analysis

Project Management Online

Filters

A facility produces two products.The labor constraint in hours)is formulated as: 350x₁+300x₂≤ 10,000.The Number 350 means that

Solve the following LP problem graphically using level curves. MAX: ^{5 X}₁^{+ 6 X}₂ Subject to: ^{3 X}₁^{+ 8 X}₂^{≤ 48} 12 X₁+ 11 X₂≤ 132 2 X₁+ 3 X₂≤ 24 X₁,X₂≥ 0

A production optimization problem has 4 decision variables and a requirement that at least b₁units of material 1 are consumed.Which of the following constraints reflects this fact?