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Wednesday, 28 September 2016
MATH 125 Final Exam Answers
MATH 125 Final Exam Answers
FINAL EXAM MATH 125
Question 1 of 25
1.0/ 1.0 Points
The length of a garden is double its width. There is a fence around the perimeter that measures 228 ft. What are the length and width of the garden?
A.length = 40 ft, width = 80 ft
B.length = 80 ft, width = 40 ft
C.length = 76 ft, width = 38 ft
D.length = 38 ft, width = 76 ft
Question 2 of 25
1.0/ 1.0 Points
Let U = [5, 10, 15, 20, 25, 30, 35, 40] A = [5, 10, 15, 20] B = [25, 30, 35, 40] C = [10, 20, 30, 40]. Find A U B.
A.A U B = [10, 15]
B.A U B = Ø
C.A U B = [5,10, 15, 20, 25]
D.A U B = [5, 10, 15, 20, 25, 30, 35, 40]
Question 3 of 25
1.0/ 1.0 Points
The table shows the students from Genius High School with the four highest GPAs from 2005 to 2007. Write the region(s) of the Venn diagram that would include Kellyn. (Note set X represents 2005 top-ranked students, set Y represents 2006 top-ranked students, and set Z represents 2007 top-ranked students).
A.Region I
B.Region III
C.Region V
D.Region IV
Question 4 of 25
1.0/ 1.0 Points
A person sold their house for $150,000 and made a profit of 37 percent. How much did they pay for their home?
A.$55,500.00
B.$171,250.96
C.$135,000.79
D.$109,489.05
Question 5 of 25
1.0/ 1.0 Points
Gail is trying to stay between 475 calories and 675 calories for lunch. She selects a sandwich for 325 calories and a salad for 107 calories. How many calories can she have for dessert?
A.Between 43 and 275 calories
B.Between 43 and 243 calories
C.Between 100 and 275 calories
D.Between 100 and 243 calories
Question 6 of 25
1.0/ 1.0 Points
Adult tickets for a play cost $11 and child tickets cost $5. If there were 30 people at a performance and the theatre collected $198 from ticket sales, how many children attended the play?
A.22 children
B.21 children
C.23 children
D.8 children
Question 7 of 25
1.0/ 1.0 Points
Graph the linear function: f(x) = -2x + 4
B.
C.
D.
Question 8 of 25
1.0/ 1.0 Points
The total real estate commission for a real estate company was $60 million in 2008, an increase of $25 million over the year 2004. What was the percent increase? Round answer to the nearest tenth of a percent.
A.28.6 percent
B.71.4 percent
C.41.7 percent
D.58.3 percent
Question 9 of 25
1.0/ 1.0 Points
Dr. Sand borrowed some money to buy new furniture for her office. She paid $634.41 simple interest on a 3.5-year loan at 4.2 percent. Find the principal.
A.$93.26
B.$4,315.71
C.$2,220.44
D.$5,000.00
Question 10 of 25
1.0/ 1.0 Points
In order to help pay for college, the grandparents of a child invest $2,500 in a bond that pays 8 percent interest compounded quarterly. How much money will there be in 4 years?
A.$3,542.10
B.$3,521.72
C.$3,431.96
D.$3,401.60
Question 11 of 25
1.0/ 1.0 Points
Katie had an unpaid balance of $3,155.15 on her credit card statement at the beginning of October. She made a payment of $215.00 during the month, and made purchases of $412.01. If the interest rate on Katie’s credit card was 6.5 percent per month on the unpaid balance, find her finance charge and the new balance on November 1.
A.Finance charge = $200.00; new balance = $3,452.17
B.Finance charge = $205.08; new balance = $3,557.25
C.Finance charge = $215.19; new balance = $3,467.36
D.Finance charge = $195.14; new balance = $3,447.31
Question 12 of 25
1.0/ 1.0 Points
Use an English/Metric conversion for area given in the table to convert the following measurement to the specified measurement. Round to the nearest hundredth, if necessary.
1 in2 ≈ 6.45 cm2
1 ft2 ≈ 0.093 m2
1 yd2 ≈ 0.836 m2
1 mi2 ≈ 2.59 km2
1 acre ≈ 4,047 m2
10,427 in2 = _____ dm2
A.161,409.60 dm2
B.10.42 dm2
C.6,725,400 dm2
D.672.54 dm2
Question 13 of 25
1.0/ 1.0 Points
Convert the following Celsius temperature to an equivalent Fahrenheit temperature. –5 degrees C
A.0 degrees F
B.7 degrees F
C.–1 degrees F
D.23 degrees F
Question 14 of 25
1.0/ 1.0 Points
Find the perimeter.
A.35 inches
B.25 inches
C.48 inches
D.45 inches
Question 15 of 25
1.0/ 1.0 Points
The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.
A.34.2 km
B.29.2 km
C.21 km
D.19.2 km
Question 16 of 25
1.0/ 1.0 Points
Find the area.
A.900 sq mi
B.240 sq mi
C.150 sq mi
D.450 sq mi
Question 17 of 25
1.0/ 1.0 Points
Suppose the cone below has a radius of 7inches and a height of 10 inches. Find the volume of the cone.
Round to two decimal places.
A.339.29 cu in
B.1,526.81 cu in
C.512.87 cu in
D.226.19 cu in
Question 18 of 25
1.0/ 1.0 Points
In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl.
A.2/3
B.1/2
C.2/9
D.1/3
Question 19 of 25
1.0/ 1.0 Points
To enter a contest, a person must select 7 numbers from 49 numbers. In order to win a prize one of the numbers must match. Find the probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order and any one of the seven winning numbers on the ticket is a win.)
A.0.001
B.0.0167
C.0.14
D.0.0007
Question 20 of 25
1.0/ 1.0 Points
A single card is drawn from a deck. Find the probability of selecting a 4 or a club.
A.7/52
B.9/26
C.4/13
D.17/52
Question 21 of 25
1.0/ 1.0 Points
Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones. If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than green each time?
A.1/11
B.3/17
C.1/3
D.68/95
Question 22 of 25
1.0/ 1.0 Points
Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at work for a group of men.
A.mean: 65, median: 67.575, mode: 65, midrange: 30.6
B.mean: 65, median: 67.575, mode: 67, midrange: 30.6
C.mean: 67.575, median: 65, mode: no mode, midrange: 67
D.mean: 67.575, median: 67, mode: no mode, midrange: 67
Question 23 of 25
1.0/ 1.0 Points
Assume a data set is normally distributed with mean 121 and standard deviation 15. If the data set contains 650 data values, approximately how many of the data values will fall within the range 91 to 151?
A.574
B.620
C.318
D.424
Question 24 of 25
1.0/ 1.0 Points
The average amount customers at a certain grocery store spend yearly is $665.98. Assume the variable is normally distributed. If the standard deviation is $93.27, find the probability that a randomly selected customer spends between $638.00 and $829.20.
A.0.330 = 33.0 percent
B.0.701 = 70.1 percent
C.0.578 = 57.8 percent
D.0.342 = 34.2 percent
Question 25 of 25
0.0/ 1.0 Points
In a class of 300 students, John’s rank was 40. Find his percentile rank.
A.26
B.90
C.13
D.87
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FINAL EXAM MATH 125
Question 1 of 25
1.0/ 1.0 Points
The length of a garden is double its width. There is a fence around the perimeter that measures 228 ft. What are the length and width of the garden?
A.length = 40 ft, width = 80 ft
B.length = 80 ft, width = 40 ft
C.length = 76 ft, width = 38 ft
D.length = 38 ft, width = 76 ft
Question 2 of 25
1.0/ 1.0 Points
Let U = [5, 10, 15, 20, 25, 30, 35, 40] A = [5, 10, 15, 20] B = [25, 30, 35, 40] C = [10, 20, 30, 40]. Find A U B.
A.A U B = [10, 15]
B.A U B = Ø
C.A U B = [5,10, 15, 20, 25]
D.A U B = [5, 10, 15, 20, 25, 30, 35, 40]
Question 3 of 25
1.0/ 1.0 Points
The table shows the students from Genius High School with the four highest GPAs from 2005 to 2007. Write the region(s) of the Venn diagram that would include Kellyn. (Note set X represents 2005 top-ranked students, set Y represents 2006 top-ranked students, and set Z represents 2007 top-ranked students).
A.Region I
B.Region III
C.Region V
D.Region IV
Question 4 of 25
1.0/ 1.0 Points
A person sold their house for $150,000 and made a profit of 37 percent. How much did they pay for their home?
A.$55,500.00
B.$171,250.96
C.$135,000.79
D.$109,489.05
Question 5 of 25
1.0/ 1.0 Points
Gail is trying to stay between 475 calories and 675 calories for lunch. She selects a sandwich for 325 calories and a salad for 107 calories. How many calories can she have for dessert?
A.Between 43 and 275 calories
B.Between 43 and 243 calories
C.Between 100 and 275 calories
D.Between 100 and 243 calories
Question 6 of 25
1.0/ 1.0 Points
Adult tickets for a play cost $11 and child tickets cost $5. If there were 30 people at a performance and the theatre collected $198 from ticket sales, how many children attended the play?
A.22 children
B.21 children
C.23 children
D.8 children
Question 7 of 25
1.0/ 1.0 Points
Graph the linear function: f(x) = -2x + 4
B.
C.
D.
Question 8 of 25
1.0/ 1.0 Points
The total real estate commission for a real estate company was $60 million in 2008, an increase of $25 million over the year 2004. What was the percent increase? Round answer to the nearest tenth of a percent.
A.28.6 percent
B.71.4 percent
C.41.7 percent
D.58.3 percent
Question 9 of 25
1.0/ 1.0 Points
Dr. Sand borrowed some money to buy new furniture for her office. She paid $634.41 simple interest on a 3.5-year loan at 4.2 percent. Find the principal.
A.$93.26
B.$4,315.71
C.$2,220.44
D.$5,000.00
Question 10 of 25
1.0/ 1.0 Points
In order to help pay for college, the grandparents of a child invest $2,500 in a bond that pays 8 percent interest compounded quarterly. How much money will there be in 4 years?
A.$3,542.10
B.$3,521.72
C.$3,431.96
D.$3,401.60
Question 11 of 25
1.0/ 1.0 Points
Katie had an unpaid balance of $3,155.15 on her credit card statement at the beginning of October. She made a payment of $215.00 during the month, and made purchases of $412.01. If the interest rate on Katie’s credit card was 6.5 percent per month on the unpaid balance, find her finance charge and the new balance on November 1.
A.Finance charge = $200.00; new balance = $3,452.17
B.Finance charge = $205.08; new balance = $3,557.25
C.Finance charge = $215.19; new balance = $3,467.36
D.Finance charge = $195.14; new balance = $3,447.31
Question 12 of 25
1.0/ 1.0 Points
Use an English/Metric conversion for area given in the table to convert the following measurement to the specified measurement. Round to the nearest hundredth, if necessary.
1 in2 ≈ 6.45 cm2
1 ft2 ≈ 0.093 m2
1 yd2 ≈ 0.836 m2
1 mi2 ≈ 2.59 km2
1 acre ≈ 4,047 m2
10,427 in2 = _____ dm2
A.161,409.60 dm2
B.10.42 dm2
C.6,725,400 dm2
D.672.54 dm2
Question 13 of 25
1.0/ 1.0 Points
Convert the following Celsius temperature to an equivalent Fahrenheit temperature. –5 degrees C
A.0 degrees F
B.7 degrees F
C.–1 degrees F
D.23 degrees F
Question 14 of 25
1.0/ 1.0 Points
Find the perimeter.
A.35 inches
B.25 inches
C.48 inches
D.45 inches
Question 15 of 25
1.0/ 1.0 Points
The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.
A.34.2 km
B.29.2 km
C.21 km
D.19.2 km
Question 16 of 25
1.0/ 1.0 Points
Find the area.
A.900 sq mi
B.240 sq mi
C.150 sq mi
D.450 sq mi
Question 17 of 25
1.0/ 1.0 Points
Suppose the cone below has a radius of 7inches and a height of 10 inches. Find the volume of the cone.
Round to two decimal places.
A.339.29 cu in
B.1,526.81 cu in
C.512.87 cu in
D.226.19 cu in
Question 18 of 25
1.0/ 1.0 Points
In a classroom, the students are 12 boys and 6 girls. If one student is selected at random, find the probability that the student is a girl.
A.2/3
B.1/2
C.2/9
D.1/3
Question 19 of 25
1.0/ 1.0 Points
To enter a contest, a person must select 7 numbers from 49 numbers. In order to win a prize one of the numbers must match. Find the probability of winning if a person buys one ticket. (Note: The numbers can be selected in any order and any one of the seven winning numbers on the ticket is a win.)
A.0.001
B.0.0167
C.0.14
D.0.0007
Question 20 of 25
1.0/ 1.0 Points
A single card is drawn from a deck. Find the probability of selecting a 4 or a club.
A.7/52
B.9/26
C.4/13
D.17/52
Question 21 of 25
1.0/ 1.0 Points
Twenty marbles are used to spell a word—9 blue ones, 5 red ones, 3 yellow ones and 3 green ones. If two marbles are drawn from the set of twenty marbles at random in succession and without replacement, what is the probability (as a reduced fraction) of choosing a marble other than green each time?
A.1/11
B.3/17
C.1/3
D.68/95
Question 22 of 25
1.0/ 1.0 Points
Find the mean, median, mode, and midrange for the data provided. The data shows hours spent at work for a group of men.
A.mean: 65, median: 67.575, mode: 65, midrange: 30.6
B.mean: 65, median: 67.575, mode: 67, midrange: 30.6
C.mean: 67.575, median: 65, mode: no mode, midrange: 67
D.mean: 67.575, median: 67, mode: no mode, midrange: 67
Question 23 of 25
1.0/ 1.0 Points
Assume a data set is normally distributed with mean 121 and standard deviation 15. If the data set contains 650 data values, approximately how many of the data values will fall within the range 91 to 151?
A.574
B.620
C.318
D.424
Question 24 of 25
1.0/ 1.0 Points
The average amount customers at a certain grocery store spend yearly is $665.98. Assume the variable is normally distributed. If the standard deviation is $93.27, find the probability that a randomly selected customer spends between $638.00 and $829.20.
A.0.330 = 33.0 percent
B.0.701 = 70.1 percent
C.0.578 = 57.8 percent
D.0.342 = 34.2 percent
Question 25 of 25
0.0/ 1.0 Points
In a class of 300 students, John’s rank was 40. Find his percentile rank.
A.26
B.90
C.13
D.87
MAT-540 WeeK 8 Assignment 1
MAT-540 WeeK 8 Assignment 1
You are to solve Problem 30 in Chapter 4 on page 158 of your textbook. It’s about publishing three weekly magazines. You can use QM for Windows to perform a sensitivity analysis for Objective function coefficients and the RHS values of the constraints. Be sure give the shadow price/dual values for an extra hr of production time or an extra lb of paper.
Be sure to follow instructions written for Assignment 1, Linear Programming Case Study.
Assignment 1. Linear Programming Case Study
Your instructor will assign a linear programming
project for this assignment according to the following specifications.
It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions). The problem will also include a component that involves sensitivity analysis and the use of the shadow price.
You will be turning in two (2) deliverables, a short writeup of the project and the spreadsheet showing your work.
Writeup.
Your writeup should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one (1) or two (2) succinct paragraphs.
After the introductory paragraph, write out the L.P. model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.
Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.
Excel.
As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.
Prob. 30
A publishing house publishes three weekly magazines—Daily Life, Agriculture Today, and Surf ’s Up. Publication of one issue of each of the magazines requires the following amounts of production time and paper:
Production (hr.) Paper (lb.)
Daily Life 0.01 0.2
Agriculture Today 0.03 0.5
Surf’s Up 0.02 0.3
Each week the publisher has available 120 hours of production time and 3,000 pounds of paper. Total circulation for all three magazines must exceed 5,000 issues per week if the company is to keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture Today, and $1.50 for Surf’s Up. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf’s Up, 6,000 issues. The production manager wants to know the number of issues of each magazine to produce weekly in order to maximize total sales revenue.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
Follow
Below Link to Download Tutorial
Email us At: Support@homeworklance.com or lancehomework@gmail.com
You are to solve Problem 30 in Chapter 4 on page 158 of your textbook. It’s about publishing three weekly magazines. You can use QM for Windows to perform a sensitivity analysis for Objective function coefficients and the RHS values of the constraints. Be sure give the shadow price/dual values for an extra hr of production time or an extra lb of paper.
Be sure to follow instructions written for Assignment 1, Linear Programming Case Study.
Assignment 1. Linear Programming Case Study
Your instructor will assign a linear programming
project for this assignment according to the following specifications.
It will be a problem with at least three (3) constraints and at least two (2) decision variables. The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions). The problem will also include a component that involves sensitivity analysis and the use of the shadow price.
You will be turning in two (2) deliverables, a short writeup of the project and the spreadsheet showing your work.
Writeup.
Your writeup should introduce your solution to the project by describing the problem. Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution. Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one (1) or two (2) succinct paragraphs.
After the introductory paragraph, write out the L.P. model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.
Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.
Excel.
As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.
Prob. 30
A publishing house publishes three weekly magazines—Daily Life, Agriculture Today, and Surf ’s Up. Publication of one issue of each of the magazines requires the following amounts of production time and paper:
Production (hr.) Paper (lb.)
Daily Life 0.01 0.2
Agriculture Today 0.03 0.5
Surf’s Up 0.02 0.3
Each week the publisher has available 120 hours of production time and 3,000 pounds of paper. Total circulation for all three magazines must exceed 5,000 issues per week if the company is to keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture Today, and $1.50 for Surf’s Up. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf’s Up, 6,000 issues. The production manager wants to know the number of issues of each magazine to produce weekly in order to maximize total sales revenue.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
MAT 540 Week 11 Final Exam Newly Taken 2016
MAT 540 Week 11 Final Exam Newly
Taken 2016
Follow Below Link to Download Tutorial
Email us At: Support@homeworklance.com or lancehomework@gmail.com
Final Draft of MAT 540 Final
|
1. Which of the following could be a linear programming
objective function? (Points : 5)
Z = 1A + 2BC + 3D Z = 1A + 2B + 3C + 4D Z = 1A + 2B / C + 3D Z = 1A + 2B2 + 3D all of the above |
|
2. Which of the following could not be a linear programming
problem constraint? (Points : 5)
1A + 2B 1A + 2B = 3 1A + 2B LTOREQ 3 1A + 2B GTOREQ 3 |
|
3. Types of integer programming models are _____________.
(Points : 5)
total 0 – 1 mixed all of the above |
|
4. The production manager for Beer etc. produces 2 kinds of
beer: light (L) and dark (D). Two resources used to produce beer are malt and
wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of
wheat per week respectively. Each bottle of light beer requires 12 oz of malt
and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of
wheat. Profits for light beer are $2 per bottle, and profits for dark beer are
$1 per bottle. If the production manager decides to produce of 0 bottles of
light beer and 400 bottles of dark beer, it will result in slack of (Points :
5)
malt only wheat only both malt and wheat neither malt nor wheat |
|
5. The reduced cost (shadow price) for a positive decision
variable is 0.
(Points : 5) True False |
|
6. Decision variables (Points : 5)
measure the objective function measure how much or how many items to produce, purchase, hire, etc. always exist for each constraint measure the values of each constrain |
|
7. A plant manager is attempting to determine the production
schedule of various products to maximize profit. Assume that a machine hour
constraint is binding. If the original amount of machine hours available is
200 minutes., and the range of feasibility is from 130 minutes to 340
minutes, providing two additional machine hours will result in the: (Points :
5)
same product mix, different total profit different product mix, same total profit as before same product mix, same total profit different product mix, different total profit |
|
8. Decision models are mathematical symbols representing
levels of activity.
(Points : 5) True False |
|
9. The integer programming model for a transportation problem
has constraints for supply at each source and demand at each destination.
(Points : 5) True False |
|
10. In a transportation problem, items are allocated from
sources to destinations (Points : 5)
at a maximum cost at a minimum cost at a minimum profit at a minimum revenue |
|
11. In a media selection problem, the estimated number of
customers reached by a given media would generally be specified in the
_________________. Even if these media exposure estimates are correct, using
media exposure as a surrogate does not lead to maximization of ______________.
(Points : 5)
problem constraints, sales problem constraints, profits objective function, profits problem output, marginal revenue problem statement, revenue |
|
12. ____________ solutions are ones that satisfy all the
constraints simultaneously. (Points : 5)
alternate feasible infeasible optimal unbounded |
|
13. In a linear programming problem, a valid objective
function can be represented as (Points : 5)
Max Z = 5xy Max Z 5x2 + 2y2 Max 3x + 3y + 1/3z Min (x1 + x2) / x3 |
|
14. The standard form for the computer solution of a linear
programming problem requires all variables to the right and all numerical
values to the left of the inequality or equality sign
(Points : 5) True False |
|
15. Constraints representing fractional relationships such as
the production quantity of product 1 must be at least twice as much as the
production quantity of products 2, 3 and 4 combined cannot be input into
computer software packages because the left side of the inequality does not
consist of consists of pure numbers.
(Points : 5) True False |
|
16. In a balanced transportation model where supply equals
demand, (Points : 5)
all constraints are equalities none of the constraints are equalities all constraints are inequalities all constraints are inequalities |
|
17. The objective function is a linear relationship reflecting
the objective of an operation.
(Points : 5) True False |
|
18. The owner of Chips etc. produces 2 kinds of chips: Lime
(L) and Vinegar (V). He has a limited amount of the 3 ingredients used to
produce these chips available for his next production run: 4800 ounces of
salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of Lime chips
requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to
produce; while a bag of Vinegar chips requires 3 ounces of salt, 8 ounces of
flour, and 2 ounces of herbs. Profits for a bag of Lime chips are $0.40, and
for a bag of Vinegar chips $0.50. Which of the following is not a feasible
production combination? (Points : 5)
0L and 0V 0L and 1000V 1000L and 0V 0L and 1200V |
|
19. The linear programming model for a transportation problem
has constraints for supply at each source and demand at each destination.
(Points : 5) True False |
|
20. For a maximization problem, assume that a constraint is
binding. If the original amount of a resource is 4 lbs., and the range of
feasibility (sensitivity range) for this constraint is from
3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the: (Points : 5) same product mix, different total profit different product mix, same total profit as before same product mix, same total profit different product mix, different total profit |
|
21. In a total integer model, all decision variables have
integer solution values.
(Points : 5) True False |
|
22. Linear programming is a model consisting of linear
relationships representing a firm’s decisions given an objective and resource
constraints.
(Points : 5) True False |
|
23. When using linear programming model to solve the “diet”
problem, the objective is generally to maximize profit.
(Points : 5) True False |
|
24. In a balanced transportation model where supply equals
demand, all constraints are equalities.
(Points : 5) True False |
|
25. In a transportation problem, items are allocated from
sources to destinations at a minimum cost.
(Points : 5) True False |
|
26. Mallory Furniture buys 2 products for resale: big shelves
(B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic
feet of storage space, and each medium shelf costs $300 and requires 90 cubic
feet of storage space. The company has $75000 to invest in shelves this week,
and the warehouse has 18000 cubic feet available for storage. Profit for each
big shelf is $300 and for each medium shelf is $150. Which of the
following is not a feasible purchase combination? (Points : 5)
0 big shelves and 200 medium shelves 0 big shelves and 0 medium shelves 150 big shelves and 0 medium shelves 100 big shelves and 100 medium shelves |
|
27. In a mixed integer model, some solution values for
decision variables are integer and others can be non-integer.
(Points : 5) True False |
|
28. In a 0 – 1 integer model, the solution values of the
decision variables are 0 or 1.
(Points : 5) True False |
|
29. Determining the production quantities of different
products manufactured by a company based on resource constraints is a product
mix linear programming problem.
(Points : 5) True False |
|
30. The dietician for the local hospital is trying to control
the calorie intake of the heart surgery patients. Tonight’s dinner menu could
consist of the following food items: chicken, lasagna, pudding, salad, mashed
potatoes and jello. The calories per serving for each of these items are as
follows: chicken (600), lasagna (700), pudding (300), salad (200), mashed
potatoes with gravy (400) and jello (200). If the maximum calorie intake has
to be limited to 1200 calories. What is the dinner menu that would result in
the highest calorie in take without going over the total calorie limit
of 1200. (Points : 5)
chicken, mashed potatoes and gravy, jello and salad lasagna, mashed potatoes and gravy, and jello chicken, mashed potatoes and gravy, and pudding lasagna, mashed potatoes and gravy, and salad chicken, mashed potatoes and gravy, and salad |
|
31. When the right-hand sides of 2 constraints are both increased
by 1 unit, the value of the objective function will be adjusted by the sum of
the constraints’ prices.
(Points : 5) True False |
|
32. The transportation method assumes that (Points : 5)
the number of rows is equal to the number of columns there must be at least 2 rows and at least 2 columns 1 and 2 the product of rows minus 1 and columns minus 1 should not be less than the number of completed cells |
|
33. A constraint is a linear relationship representing a
restriction on decision making.
(Points : 5) True False |
|
34. When formulating a linear programming model on a
spreadsheet, the measure of performance is located in the target cell.
(Points : 5)
True False |
|
35. The linear programming model for a transportation problem
has constraints for supply at each ________ and _________ at each
destination. (Points : 5)
destination / source source / destination demand / source source / demand |
|
36. The 3 types of integer programming models are total, 0 –
1, and mixed.
(Points : 5) True False |
|
37. In using rounding of a linear programming model to obtain
an integer solution, the solution is (Points : 5)
always optimal and feasible sometimes optimal and feasible always optimal always feasible never optimal and feasible |
|
38. If we use Excel to solve a linear programming problem
instead of QM for Windows,
then the data input requirements are likely to be much less tedious and time consuming.
(Points : 5)
True False |
|
39. In a _______ integer model, some solution values for
decision variables are integer and others can be non-integer. (Points : 5)
total 0 – 1 mixed all of the above |
|
40. Which of the following is not an integer linear
programming problem? (Points : 5)
pure integer mixed integer 0-1integer continuous |
MAT 510 Homework Assignment 7
MAT 510 Homework Assignment 7
Follow Below Link to Download Tutorial
Email us At: Support@homeworklance.com or lancehomework@gmail.com
Homework Assignment 7
Due in Week 8 and worth 30 points
The experiment data in below table
was to evaluate the effects of three variables on invoice errors for a company.
Invoice errors had been a major contributor to lengthening the time that
customers took to pay their invoices and increasing the accounts receivables
for a major chemical company. It was conjectured that the errors might be due
to the size of the customer (larger customers have more complex orders), the
customer location (foreign orders are more complicated), and the type of
product. A subset of the data is summarized in the following Table.
Table: Invoice Experiment Error
|
Customer Size
|
Customer Location
|
Product Type
|
Number of Errors
|
|
–
|
–
|
–
|
15
|
|
+
|
–
|
–
|
18
|
|
–
|
+
|
–
|
6
|
|
+
|
+
|
–
|
2
|
|
–
|
–
|
+
|
19
|
|
+
|
–
|
+
|
23
|
|
–
|
+
|
+
|
16
|
|
+
|
+
|
+
|
21
|
Customer Size: Small (-), Large (+)
Customer Location: Foreign (-),
Domestic (+)
Product Type: Commodity (-),
Specialty (=)
Reference: Moen, Nolan, and Provost
(R. D. Moen, T. W. Nolan and L. P. Provost. Improving Quality through
Planned Experimentation.New York: McGraw-Hill, 1991)
Use the date in table above and
answer the following questions in the space provided below:
- What is the nature of the effects of the factors
studied in this experiment?
- What strategy would you use to reduce invoice errors,
given the results of this experiment?
MAT 510 – Homework Assignment 6
MAT 510 – Homework Assignment 6
Follow Below Link to Download Tutorial
Email us At: Support@homeworklance.com or lancehomework@gmail.com
Homework Assignment 6
Due in Week 7 and worth 30 points
The data in the table below is from
a study conducted by an insurance company to determine the effect of changing
the process by which insurance claims are approved. The goal was to improve
policyholder satisfaction by speeding up the process and eliminating some
non-value-added approval steps in the process. The response measured was the
average time required to approve and mail all claims initiated in a week. The
new procedure was tested for 12 weeks, and the results were compared to the
process performance for the 12 weeks prior to instituting the change.
Table: Insurance Claim Approval
Times (days)
|
Old Process
|
|
|
New Process
|
|
|
Week
|
Elapsed Time
|
|
Week
|
Elapsed Time
|
|
1
|
31.7
|
|
13
|
24
|
|
2
|
27
|
|
14
|
25.8
|
|
3
|
33.8
|
|
15
|
31
|
|
4
|
30
|
|
16
|
23.5
|
|
5
|
32.5
|
|
17
|
28.5
|
|
6
|
33.5
|
|
18
|
25.6
|
|
7
|
38.2
|
|
19
|
28.7
|
|
8
|
37.5
|
|
20
|
27.4
|
|
9
|
29
|
|
21
|
28.5
|
|
10
|
31.3
|
|
22
|
25.2
|
|
11
|
38.6
|
|
23
|
24.5
|
|
12
|
39.3
|
|
24
|
23.5
|
Use the date in table above and
answer the following questions in the space provided below:
- What was the average effect of the process change? Did
the process average increase or decrease and by how much?
- Analyze the data using the regression model y = b0
+ b1x, where y = time to approve and mail a claim
(weekly average), x = 0 for the old process, and x = 1 for
the new process.
- How does this model measure the effect of the process
change?
- How much did the process performance change on the
average? (Hint: Compare the values of b1 and the average of new
process performance minus the average of the performance of the old
process.)
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