Question 1

The slope of a curve at any point is equal to the derivative of the curves function.

Accepted Answer

A) True 
 B)False  True

Question 2

If price and demand are related by the function v = 15 + 15p and the fixed cost is $150 while the variable cost is $5, then the profit at a price of 20 Rupees is ________.

Accepted Answer

4575 Rupees

Question 3

Assume price and demand are related by the following function: v = 100 - 2.5p. If fixed cost = $5000 and variable cost = $10, then the expression for profit is ________.

Accepted Answer

Z = 125p - 2.5p² - 6000

Question 4

A custom molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per unit contribution for the juice glasses (x1) is equal to 60 - 5x1, and the per unit contribution for the cocktail glasses (x2) is 80 - 4x2. An expression for the total contribution is:

Accepted Answer

A)  20 - 4x2 - 5 x1 
B)  60 x1 - 5x12 + 80x2 - 4x22 
C)  80x1 - 5x122 - 4x22 
D)  20 - (4x2)(5x1) 
A)  20 - 4x2 - 5 x1 
B)  60 x1 - 5x12 + 80x2 - 4x22 
C)  80x1 - 5x122 - 4x22 
D)  20 - (4x2)(5x1)

Question 5

Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for balls and mice is:
x1 = 1800 - 150p1
x2 = 1500 - 300p2
The cost for a catnip ball is $2 and for the mouse, $3.
Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce.
-Sara has found an unlimited source of catnip so that is no longer a constraint. However, customer demand dictates that she produce 2.5 times more catnip balls than mice. Write the new constraint.

Accepted Answer

x1 = 2.5x₂

Question 6

________, a measure of correlation between returns on investment i and returns on investment j is used to reflect risk.

Accepted Answer

The answer of ________, a measure of correlation between returns...

Question 7

Consider the curve 7x2 - 14x + 28. What is the second derivative at x = 10?

Accepted Answer

The answer of Consider the curve 7x2 - 14x +...

Question 8

Maximum profit is achieved everywhere the first derivative of the profit function equals zero.

Accepted Answer

A) True 
 B)False

Question 9

The distance formula of d =

$\sqrt { \left( x _ { \mathrm { i } } - x \right) ^ { 2 } + \left( y _ { \mathrm { i } } - y \right) ^ { 2 } }$ 
will find the ________ distance between two locations.

Accepted Answer

The answer of The distance formula of d =

\(\sqrt...

Question 10

The slope of a curve at its highest point equals:

Accepted Answer

A)  0 
B)  1 
C)  2 
D)  3 
A)  0 
B)  1 
C)  2 
D)  3

Question 11

If a nonlinear programming model consists of a single nonlinear objective function and no constraints, it is called a(n) ________ optimization problem.

Accepted Answer

The answer of If a nonlinear programming model consists of...

Question 12

The Lagrange multiplier is

Accepted Answer

A)  the shadow price for the constraint coefficients. 
B)  valid over a range of changes in the RHS. 
C)  the rate of change in the objective value as the RHS of the constraint increases. 
D)  the minimum threshold for decision variables to enter the solution. 
A)  the shadow price for the constraint coefficients. 
B)  valid over a range of changes in the RHS. 
C)  the rate of change in the objective value as the RHS of the constraint increases. 
D)  the minimum threshold for decision variables to enter the solution.

Question 13

Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for balls and mice is:
x1 = 1800 - 150p1
x2 = 1500 - 300p2
The cost for a catnip ball is $2 and for the mouse, $3.
Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce.
-Sara has found an unlimited source of catnip so that is no longer a constraint. However, customer demand dictates that she produce 2.5 times more catnip balls than mice. How will this impact the prices that she should charge to maximize profit?

Accepted Answer

There is no impact. Prices rem

Question 14

In portfolio selection problems, risk is measured by the variance of the return on the portfolio.

Accepted Answer

A) True 
 B)False

Question 15

Zoey's Catnip Toys faces the following relationship between price and demand: v = 2000 - 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit.

Accepted Answer

Z = 2200p

Question 16

A store has determined that the weekly sales of a product is related to the number of customers who visit the store and the square feet of shelf space, x, according to the following equation: -20x2 - 10C2 + 40Cx + 120x - 200. C represents the hundreds of customers who visit their store. If a store averages 200 customers per week, how many square feet of shelf space is required to maximize sales?

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  1 or 9 
A)  3 
B)  4 
C)  5 
D)  1 or 9

Question 17

The XYZ manufacturing company produces ball bearings. The annual fixed cost is $20,000 and the variable cost per ball bearing is $3. The price is related to demand according to the following equation: 1000 - 8p.
-What price for the ball bearings will maximize the profit?

Accepted Answer

The answer of The XYZ manufacturing company produces ball bearings....

Question 18

The Salt Creek Soap Company has determined the following nonlinear model to determine the optimal pounds of industrial soap (X1) and shampoo (X2) it should produce each day.
Maximize Z = X12 + 2X22 - 8X1 - 12X2 + 34
Subject to: X1 + 2X2 = 4 lbs
-Determine the quantity of soap and shampoo that should be produced to maximize profit.

Accepted Answer

X<sub>1</s

Question 19

The Salt Creek Soap Company has determined the following nonlinear model to determine the optimal pounds of industrial soap (X1) and shampoo (X2) it should produce each day.
Maximize Z = X12 + 2X22 - 8X1 - 12X2 + 34
Subject to: X1 + 2X2 = 4 lbs
-What quantities of soap and shampoo maximize profit?

Accepted Answer

A)  X1 = 0, X2 = 2 
B)  X1 = 1, X2 = 2 
C)  X1 = 2, X2 = 2 
D)  X1 = 2, X2 = 1 
A)  X1 = 0, X2 = 2 
B)  X1 = 1, X2 = 2 
C)  X1 = 2, X2 = 2 
D)  X1 = 2, X2 = 1

Question 20

An optimal solution to a nonlinear programming problem will always occur at the boundary of the feasible solution space formed by the constraint.

Accepted Answer

A) True 
 B)False

The slope of a curve at any point is equal to the derivative of the curves function.

If price and demand are related by the function v = 15 + 15p and the fixed cost is $150 while the variable cost is $5, then the profit at a price of 20 Rupees is ________.

Assume price and demand are related by the following function: v = 100 - 2.5p. If fixed cost = $5000 and variable cost = $10, then the expression for profit is ________.

A custom molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per unit contribution for the juice glasses (x₁) is equal to 60 - 5x₁, and the per unit contribution for the cocktail glasses (x₂) is 80 - 4x₂. An expression for the total contribution is:

________, a measure of correlation between returns on investment i and returns on investment j is used to reflect risk.

Consider the curve 7x² - 14x + 28. What is the second derivative at x = 10?

Maximum profit is achieved everywhere the first derivative of the profit function equals zero.

The distance formula of d = $\sqrt { \left( x _ { \mathrm { i } } - x \right) ^ { 2 } + \left( y _ { \mathrm { i } } - y \right) ^ { 2 } }$ will find the ________ distance between two locations.

The slope of a curve at its highest point equals:

If a nonlinear programming model consists of a single nonlinear objective function and no constraints, it is called a(n) ________ optimization problem.

The Lagrange multiplier is

In portfolio selection problems, risk is measured by the variance of the return on the portfolio.

Zoey's Catnip Toys faces the following relationship between price and demand: v = 2000 - 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit.

The XYZ manufacturing company produces ball bearings. The annual fixed cost is $20,000 and the variable cost per ball bearing is $3. The price is related to demand according to the following equation: 1000 - 8p. -What price for the ball bearings will maximize the profit?

An optimal solution to a nonlinear programming problem will always occur at the boundary of the feasible solution space formed by the constraint.

Management Science

Linear Programming: Model Formulation and Graphical Solution

Linear Programming: Computer Solution and Sensitivity Analysis

Linear Programming: Modeling Examples

Integer Programming

Transportation, Transshipment, and Assignment Problems

Network Flow Models

Project Management

Multicriteria Decision Making

Probability and Statistics

Decision Analysis

Queuing Analysis

Simulation

Forecasting

Inventory Management

the Simplex Solution Method

Transportation and Assignment Solution Methods

Integer Programming: the Branch and Bound Method

Nonlinear Programming: Solution Techniques

Game Theory

Markov Analysis

Filters

Exam 10: Nonlinear Programming

The slope of a curve at any point is equal to the derivative of the curves function.

If price and demand are related by the function v = 15 + 15p and the fixed cost is $150 while the variable cost is $5, then the profit at a price of 20 Rupees is ________.

Assume price and demand are related by the following function: v = 100 - 2.5p. If fixed cost = $5000 and variable cost = $10, then the expression for profit is ________.

A custom molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per unit contribution for the juice glasses (x1) is equal to 60 - 5x1, and the per unit contribution for the cocktail glasses (x2) is 80 - 4x2. An expression for the total contribution is:

________, a measure of correlation between returns on investment i and returns on investment j is used to reflect risk.

Consider the curve 7x2 - 14x + 28. What is the second derivative at x = 10?

Maximum profit is achieved everywhere the first derivative of the profit function equals zero.

The distance formula of d = (xi−x)2+(yi−y)2\sqrt { \left( x _ { \mathrm { i } } - x \right) ^ { 2 } + \left( y _ { \mathrm { i } } - y \right) ^ { 2 } }(xi​−x)2+(yi​−y)2​ will find the ________ distance between two locations.

The slope of a curve at its highest point equals:

If a nonlinear programming model consists of a single nonlinear objective function and no constraints, it is called a(n) ________ optimization problem.

The Lagrange multiplier is

In portfolio selection problems, risk is measured by the variance of the return on the portfolio.

Zoey's Catnip Toys faces the following relationship between price and demand: v = 2000 - 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit.

The XYZ manufacturing company produces ball bearings. The annual fixed cost is $20,000 and the variable cost per ball bearing is $3. The price is related to demand according to the following equation: 1000 - 8p. -What price for the ball bearings will maximize the profit?

The Salt Creek Soap Company has determined the following nonlinear model to determine the optimal pounds of industrial soap (X1) and shampoo (X2) it should produce each day. Maximize Z = X12 + 2X22 - 8X1 - 12X2 + 34 Subject to: X1 + 2X2 = 4 lbs -What quantities of soap and shampoo maximize profit?

An optimal solution to a nonlinear programming problem will always occur at the boundary of the feasible solution space formed by the constraint.

Management Science

Linear Programming: Model Formulation and Graphical Solution

Linear Programming: Computer Solution and Sensitivity Analysis

Linear Programming: Modeling Examples

Integer Programming

Transportation, Transshipment, and Assignment Problems

Network Flow Models

Project Management

Multicriteria Decision Making

Probability and Statistics

Decision Analysis

Queuing Analysis

Simulation

Forecasting

Inventory Management

the Simplex Solution Method

Transportation and Assignment Solution Methods

Integer Programming: the Branch and Bound Method

Nonlinear Programming: Solution Techniques

Game Theory

Markov Analysis

Filters

A custom molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per unit contribution for the juice glasses (x₁) is equal to 60 - 5x₁, and the per unit contribution for the cocktail glasses (x₂) is 80 - 4x₂. An expression for the total contribution is:

Consider the curve 7x² - 14x + 28. What is the second derivative at x = 10?

The distance formula of d = $\sqrt { \left( x _ { \mathrm { i } } - x \right) ^ { 2 } + \left( y _ { \mathrm { i } } - y \right) ^ { 2 } }$ will find the ________ distance between two locations.