final

Which of the following characteristics does this chart display? I decreasing marginal returns II piecewise linearity III Discontinuity

II and II

for a minimum cost flow problem,, any potential solution that does not satisfy the feasible solutions property is I. optimal II. not optimal III. infeasible

II and III

if a minimum cost flow problem has more supply (total capacity at all supply nodes) than demand (totally demand at all demand nodes,) I. add a dummy supply node to the network II. add a dummy demand node to the network III. convert supply constraints to "<=" constraints

II and III

A local maximum cost is always a global maximum in a nonlinear programming problem

false

Applying separable programming requires having profit graphs that are smooth curves

false

In a shortest path problem, the values associated with the arcs and links will always represent the distance between two points

false

Separable programming is applicable when there are increasing or decreasing marginal returns

false

Trying different tarting points and picking the best solution will always yield the optimal solution to a nonlinear programming problem

false

in separable programming, if an activity violates the proportionality assumption it must have increasing marginal return

false

in a minimum cost flow property, if all supplies, demands and arc coapactities are integer values the problem is guaranteed to have an optimal solution with integer values for all ____________ constraints

flow

A triple bottom line measures a company's degree of social responsibility, its economic value and its environmental impact

true

_______ programming is a valuable nonlinear programming technique because it reformulates the problem into a linear model, which is fast and easy to solve

separable

If the slope of a graph never increases bu sometimes decreases as the level of the activity increases, then it is said to have decreasing marginal returns

true

Linear programming assumes that the profit from each activity is proportional to the level of that activity

true

Piecewise chart represents likewise linearity and discontinuity

true

excels curve fitting method is used to graph a nonlinear equation

true

the additivity assumption of linear programming states that each term in the objective function is the sum of two or more variables

true

For a nonlinear problem with decreasing marginal returns

the local maxima is also the global maximum - there is only one local maxima

During orientation, a university needs to transport students from one side of campus to the other. To determine the largest number of students that can be transported in a time period, an allays could formulate this problem using a _____ _______ model

maximum flow

The term "triple bottom line" refers to

measuring a company's performance in the social responsibility arena and setting formal performance targets in three areas "profit, people, and planet"

sustainability is

meeting the needs of the present without compromising the ability of future generations to meet theirs

In a maximum flow problem, all arcs point away from _____ node and toward the _____ node

supply, sink

In analytical solver, nonlinear models require use of which solution method?

GRG Nonlinear

which of the following can cause nonlinearity in a model? I Use of nonlinear operators such as square roots II interactions between decision variables III use of linear operators such as addition

I and II

which of the following is an appropriate application for a maximum flow model? I. maximizing the data capacity of a computer network II. maximizing the number of people who pass through an art exhibit III. maximizing the profit from shipping products to cusgtomers

I and II

which of the following statements about minimum-cost flow problems is false? I. transshipment nodes have positive net flow II. supply nodes have negative net flow III. The total capacity of all supply nodes is at least equal to total demand at demand nodes IV. The cost of lfow through each arc is proportional to the quantity that flows

I and II

If column C contains the data cells and column D contains the changing cells, which of the following formulas would satisfy the requirements of a linear model? I. =SUM(C2:D4) II. =PRODUCT(C2:C4,D2:D4) III. =SUMPRODUCT(D2:D4,D5,D7)

I and II only Choice III involves the product of two or more changing cells, which is nonlinear

A linear function may contain which of the following? I. A term that contains a single variable with an exponent of 1 II. A term that contains a single variable with an exponent of 2 III. A term that contains the product of two variables?

I only

which of the following is a potential application for a minimum-cost flow model? I. determining the maximum amount of a product that can be shipped through a distribution network II. Determining the best mix of products to produce in a factory III. Developing a plan to ship a product from several factories to a number of warehouses IV. Assigning consultants to projects around the world

I, II, IV

A nonlinear function may contain which of the following? I. A term that contains a single variable with an exponent of 1 II. A term that contains a single variable with an exponent of 2 III. A term that contains the product of two variables?

I, II, and III

A nonlinear programming problem may have: I. Activities with increasing marginal returns II. Activities with decreasing marginal returns III. nonlinear functional constraints

I, II, and III

If the slope of a graphed function never increases but sometimes decreases, the function displays which of the following? I. Increasing marginal returns II. Decreasing marginal returns III. Either increasing or decreasing marginal returns may have this form

II only

which of the following statements about nonlinear models is TRUE? I. Nonlinear models are easier to understand than linear models II. nonlinear models may more accurately represent a business situation III. Nonlinear models simplify the process of solving a maximization problem

II only

linear formulas can use which of the following arithmetic operations? I exponents II subtraction III multiplication IIII addition

II, III, IIII

Which of the following is NOT a type of minimum cost flow problem? I. Transshipment II. Product mix III. Assignment IV. Transportation

II; Product Mix

If cell C1 is a data cell and cell D2 is a changing cell, which of the following formulas would NOT satisfy the requirements of a linear model? I. D2 X C1 II. D2/C1 III. C1/D2

III. Only Only choice III violates linearity by dividing by a changing cell

A city is attempting to determine how much water it can deliver to a nearby factory in case of an emergency such as a fire. This prob Lem is best modeled as a

Maximum flow problem

which of the following nonlinear models are often difficult to solve?

Models with increasing marginal returns models with discontinuities wrong: models that are piecewise

A traveler wants to fly from Phoenix to Orlando. In a shortest path model, Phoenix would be the _____ and Orlando is the _____.

Origin, Destination

In separable programming, each activity that violates the proportionality assumption is separated into parts with a new variable for each part

True

A companies social responsibility strategy is typically comprised of all but which one of the following elements?

actions to keep prices low enough that the company's profits will not be viewed by the general public as obscenely high or exorbitant

in analytical solver, the user can identify which elements of the model violates the assumptions of linearity by using the _____ ______ model tool

analyze original

In analytical solver, the analyze original model too

can be used prior to solving the model

if the costs of an activity increase at a slower and slower rate as the activity level increases, which of he following could be used to represent these costs if x is a level of the activity?

costs = √x

if the costs of an activity increase at a faster and faster rate as the activity level increases, which of the following could be used to represent these costs if x is the level of the activity?

costs=x^2

the overlap of people and profit results in

equitable

which of the following about evolutionary solver are true?

ev solver is less likely than nonlinear solver to be unable to overcome discontinuities ev solver can evaluate complex objective functions better than nonlinear solver

The objective in a minimum cost flow problem is to

minimize total shipping costs while meeting capacity and demand constraints

In a network diagram, the circles are called

nodes

a shortest path prob elm has how many origins?

one

Network models are designed to manage the flow of something from one or more ______ to one or more ______

origins, destinations

social responsibility is known as

people and community

Seperable programming c an be used when a problem with decreasing marginal returns is also

piecewise linear

the problem of multiple local optima in nonlinear programming can be addressed by

solving the problem multiple times, each with a different starting point

In a minimum cost flow problem, the total capacity of the ______ nodes must be greater than or equal to the amount required at the _____ nodes

supply, demand

The requirement that each term in the objective function only contains a single variable is in a linear program I regerire to as

the additivity assumption

decreasing marginal returns violates which assumptions of linear programming?

the proportionality assumption