Question 1

There are nonlinear applications in which there is a single local optimal solution that is also the global optimal solution.

Accepted Answer

A) True 
 B)False

Question 2

A function is quadratic if its nonlinear terms have a power of 4.

Accepted Answer

A) True 
 B)False

Question 3

Because most nonlinear optimization codes will terminate with a local optimum,the solution returned by the codes will be the best solution.

Accepted Answer

A) True 
 B)False

Question 4

In portfolio models,risk is minimized by diversification.

Accepted Answer

A) True 
 B)False

Question 5

An index fund is an example of passive asset management.

Accepted Answer

A) True 
 B)False

Question 6

Explain the differences between the LP formulations for a conservative portfolio and moderate-risk portfolio.

Accepted Answer

The answer of Explain the differences between the LP formulations...

Question 7

A feasible solution is a global optimum if there are no other feasible solutions with a better objective function value in the immediate neighborhood.

Accepted Answer

A) True 
 B)False

Question 8

Modern revenue management systems maximize revenue potential for an organization by helping to manage

Accepted Answer

A) pricing strategies. 
B) reservation policies. 
C) short-term supply decisions. 
D) All of the alternatives are correct.

Question 9

Skooter's Skateboards produces two models of skateboards,the FX and the ZX.Skateboard revenue (in $l,000s)for the firm is nonlinear and is stated as (number of FXs)(5 F1F1F1S1F1F1F10 0.2 number of FXs)+ (number of ZXs)(7 F1F1F1S1F1F1F10 0.3 number of ZXs).Skooter's has 80 labor-hours available per week in its paint shop.Each FX requires 2 labor-hours to paint and each ZX requires 3 labor-hours.Formulate this nonlinear production planning problem to determine how many FX and ZX skateboards should be produced per week at Scooter's.

Accepted Answer

The answer of Skooter's Skateboards produces two models of skateboards,the...

Question 10

A nonlinear optimization problem is any optimization problem in which at least one term in the objective function or a constraint is nonlinear.

Accepted Answer

A) True 
 B)False

Question 11

To develop a portfolio that provides the best return possible with a minimum risk,the linear programming model will have an objective function which

Accepted Answer

A) minimizes the maximum risk. 
B) minimizes total risk. 
C) maximizes return and minimizes risk. 
D) maximizes the minimum return.

Question 12

LeapFrog Airways provides passenger service for Indianapolis,Baltimore,Memphis,Austin,and Tampa.LeapFrog has two WB828 airplanes,one based in Indianapolis and the other in Baltimore.Each morning the Indianapolis based plane flies to Austin with a stopover in Memphis,and the Baltimore based plane flies to Tampa with a stopover in Memphis.Both planes have a coach section with a 120-seat capacity.
LeapFrog uses two fare classes: a discount fare D class and a full fare F class.Leapfrog's products,each referred to as an origin destination itinerary fare (ODIF),are listed below with their fares and forecasted demand. \[\begin{array} { c c c c c c c } 
\text { ODIF } & \text { Origin } & \text { Destination } & \text { Fare Class } & \text { ODIF Code } & \text { Fare } & \text { Demand } \
\hline 1 & \text { Indianapolis } & \text { Memphis } & \text { D } & \text { IMD } & 175 & 44 \
2 & \text { Indianapolis } & \text { Austin } & \text { D } & \text { IAD } & 275 & 25 \
3 & \text { Indianapolis } & \text { Tampa } & \text { D } & \text { ITD } & 285 & 40 \
4 & \text { Indianapolis } & \text { Memphis } & \text { F } & \text { IMF } & 395 & 15 \
5 & \text { Indianapolis } & \text { Austin } & F & \text { IAF } & 425 & 10 \
6 & \text { Indianapolis } & \text { Tampa } & \text { F } & \text { ITF } & 475 & 8 \
7 & \text { Baltimore } & \text { Memphis } & \text { D } & \text { BMD } & 185 & 26 \
8 & \text { Baltimore } & \text { Austin } & \text { D } & \text { BAD } & 315 & 50 \
9 & \text { Baltimore } & \text { Tampa } & \text { D } & \text { BTD } & 290 & 42 \
10 & \text { Baltimore } & \text { Memphis } & \text { F } & \text { BMF } & 385 & 12 \
11 & \text { Baltimore } & \text { Austin } & \text { F } & \text { BAF } & 525 & 16 \
12 & \text { Baltimore } & \text { Tampa } & \text { F } & \text { BTF } & 490 & 9 \
13 & \text { Memphis } & \text { Austin } & \text { D } & \text { MAD } & 190 & 58 \
14 & \text { Memphis } & \text { Tampa } & \text { D } & \text { MTD } & 180 & 48 \
15 & \text { Memphis } & \text { Austin } & \text { F } & \text { MAF } & 310 & 14 \
16 & \text { Memphis } & \text { Tampa } & \text { F } & \text { MTF } & 295 & 11 \
\hline
\end{array}\] Develop a linear programming model for LeapFrog's problem situation and determine how many seats LeapFrog should allocate to each ODIF.

Accepted Answer

The answer of LeapFrog Airways provides passenger service for Indianapolis,Baltimore,Memphis,Austin,and...

Question 13

The problem of maximizing a concave quadratic function over a linear constraint set is relatively difficult to solve.

Accepted Answer

A) True 
 B)False

Question 14

Lymann Brothers has a substantial number of clients who wish to own a mutual fund portfolio that closely matches the performance of the S&P 500 stock index.A manager at Lymann Brothers has selected five mutual funds that will be considered for inclusion in the portfolio.The manager must decide what percentage of the portfolio should be invested in each mutual fund. $$\begin{array}{l}
\text { Annual Returns (Planning Scenarios) }\
\begin{array} { l r r r r } 
\text { Mutual Fund } & \text { Year 1 } & \text { Year 2 } & \text { Year3 } & \text { Year 4 } \
\hline \text { International Stock } & 25.64 & 27.62 & 5.80 & - 3.13 \
\text { Large-Cap Blend } & 15.31 & 18.77 & 11.06 & 4.75 \
\text { Mid-Cap Blend } & 18.74 & 18.43 & 6.28 & - 1.04 \
\text { Small-Cap Blend } & 14.19 & 12.37 & - 1.92 & 7.32 \
\text { Intermediate Bond } & 7.88 & 9.45 & 10.56 & 3.31 \
\hline \text { S\&P 500 } & 13.00 & 12.00 & 7.00 & 2.00
\end{array}
\end{array}$$ Minimize the variance of the portfolio subject to constraints on the expected return,assuming that Lymann Brothers' client requires the expected portfolio return to be at least 9 percent.

Accepted Answer

The answer of Lymann Brothers has a substantial number of...

Question 15

Explain how the local minimum,local maximum,local optimum,global minimum,global maximum,and global optimum relate to one another in nonlinear optimization problems.

Accepted Answer

The answer of Explain how the local minimum,local maximum,local optimum,global...

Question 16

Revenue management methodology enables an airline to

Accepted Answer

A) maximize the number of full-fare seats it sells on each flight. 
B) minimize the number of discount-fare seats it sells on each flight. 
C) increase the average number of passengers per flight. 
D) decrease the number of overbooked flights.

Exam 12: Advanced Optimization Applications

There are nonlinear applications in which there is a single local optimal solution that is also the global optimal solution.

A function is quadratic if its nonlinear terms have a power of 4.

Because most nonlinear optimization codes will terminate with a local optimum,the solution returned by the codes will be the best solution.

In portfolio models,risk is minimized by diversification.

An index fund is an example of passive asset management.

Explain the differences between the LP formulations for a conservative portfolio and moderate-risk portfolio.

A feasible solution is a global optimum if there are no other feasible solutions with a better objective function value in the immediate neighborhood.

Modern revenue management systems maximize revenue potential for an organization by helping to manage

A nonlinear optimization problem is any optimization problem in which at least one term in the objective function or a constraint is nonlinear.

To develop a portfolio that provides the best return possible with a minimum risk,the linear programming model will have an objective function which

The problem of maximizing a concave quadratic function over a linear constraint set is relatively difficult to solve.

Explain how the local minimum,local maximum,local optimum,global minimum,global maximum,and global optimum relate to one another in nonlinear optimization problems.

Revenue management methodology enables an airline to