Our Services

Get 15% Discount on your First Order

Problem 3-25 (Algorithmic) Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the

January 14, 2024

Problem 3-25 (Algorithmic)

Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here:

Cabinetmaker 1Cabinetmaker 2Cabinetmaker 3 Hours required to complete all the oak cabinets474027 Hours required to complete all the cherry cabinets645136 Hours available403035 Cost per hour$34$41$52

For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 40/47 = 0.85, or 85%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 40/64 = 0.63, or 63%, of the cherry cabinets if it worked only on cherry cabinets.

Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and the percentage of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of completing both projects. If the constant is “1” it must be entered in the box.Let O1 = percentage of Oak cabinets assigned to cabinetmaker 1 O2 = percentage of Oak cabinets assigned to cabinetmaker 2 O3 = percentage of Oak cabinets assigned to cabinetmaker 3 C1 = percentage of Cherry cabinets assigned to cabinetmaker 1 C2 = percentage of Cherry cabinets assigned to cabinetmaker 2 C3 = percentage of Cherry cabinets assigned to cabinetmaker 3 Min fill in the blank 1O1 + fill in the blank 2O2 + fill in the blank 3O3 + fill in the blank 4C1 + fill in the blank 5C2 + fill in the blank 6C3 s.t. fill in the blank 7O1 + fill in the blank 8C1 ≤ fill in the blank 9 Hours avail. 1 fill in the blank 10O2 + fill in the blank 11C2 ≤ fill in the blank 12 Hours avail. 2 fill in the blank 13O3 + fill in the blank 14C3 ≤ fill in the blank 15 Hours avail. 3 fill in the blank 16O1 + fill in the blank 17O2 + fill in the blank 18O3 = fill in the blank 19 Oak fill in the blank 20C1 + fill in the blank 21C2 + fill in the blank 22C3 = fill in the blank 23 Cherry O1, O2, O3, C1, C2, C3 ≥ 0
Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherry cabinets should be assigned to each cabinetmaker? If required, round your answers to three decimal places. If your answer is zero, enter “0”.Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Oak O1 = fill in the blank 24 O2 = fill in the blank 25 O3 = fill in the blank 26 Cherry C1 = fill in the blank 27 C2 = fill in the blank 28 C3 = fill in the blank 29 What is the total cost of completing both projects? If required, round your answer to the nearest dollar.Total Cost = $ fill in the blank 30
If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter “0”. Explain.

because Cabinetmaker 1 has

of fill in the blank 33 hours. Alternatively, the dual value is fill in the blank 34 which means that adding one hour to this constraint will decrease total cost by $fill in the blank 35.
If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter “0”. Use a minus sign to indicate the negative figure. Explain.

because Cabinetmaker 2 has a

of fill in the blank 38 . Therefore, each additional hour of time for cabinetmaker 2 will reduce cost by a total of $ fill in the blank 39 per hour, up to an overall maximum of fill in the blank 40total hours.
Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? If required, round your answers to three decimal places. If your answer is zero, enter “0”.Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Oak O1 = fill in the blank 41 O2 = fill in the blank 42 O3 = fill in the blank 43 Cherry C1 = fill in the blank 44 C2 = fill in the blank 45 C3 = fill in the blank 46 What is the total cost of completing both projects? If required, round your answer to the nearest dollar.Total Cost = $ fill in the blank 47The change in Cabinetmaker 2’s cost per hour leads to changing

objective function coefficients. This means that the linear program

The new optimal solution

the one above but with a total cost of $ fill in the blank 51.

dealers, Georgia, kitchen, large, local, manufactures, OAK, orders, problem, sold, Southeast

Share This Post

Order a Similar Paper and get 15% Discount on your First Order

Related Questions

As a manager of the department, you reviewed the sales report, and sales are drastically down. You decided to attend a seminar on emotional intelligence, a

As a manager of the department, you reviewed the sales report, and sales are drastically down. You decided to attend a seminar on emotional intelligence, and the seminar encouraged you to implement an emotional intelligence management approach in your department. Propose a strategic solution that details how an EI approach

There are two different assignments, the first will be 1-3 and the second will be the same excel but with 4-10 done. Please have two different documents:

There are two different assignments, the first will be 1-3 and the second will be the same excel but with 4-10 done. Please have two different documents: the first with 1-3 and the second document with 1-10. Instructions: Complete requirements 1 through 3 of Jane’s Skateboards for the first milestone.

Company will be Tesla All presentations must be in Kaltura Tell the reader a little about the company you are discussing. Use some of the information

Company will be Tesla All presentations must be in Kaltura Tell the reader a little about the company you are discussing. Use some of the information you got from your research. Utilize some of the tools from the class (SWOT, Porter’s 5 Forces, etc.) to identify and to develop your

Two different discussion topics, Each must be at least 300 words. After watching the Wall St. Journal video with the Colonial Pipeline CEO, and reading the

Two different discussion topics, Each must be at least 300 words. After watching the Wall St. Journal video with the Colonial Pipeline CEO, and reading the Law360 Expert Analysis article on how to manage cyber risk, do the following: Conduct Internet research and identify a company that was recently held

Competencies In this project, you will demonstrate your mastery of the following competencies: Analyze internal and external business environments

Competencies In this project, you will demonstrate your mastery of the following competencies: Analyze internal and external business environments Recommend short-term and long-term strategic focuses Co Competencies In this project, you will demonstrate your mastery of the following competencies: Analyze internal and external business environments Recommend short-term and long-term strategic

Competencies In this project, you will demonstrate your mastery of the following competencies: Analyze internal and external business

Competencies In this project, you will demonstrate your mastery of the following competencies: Analyze internal and external business environments Recommend short-term and long-term strategic focuses Communicate strategy to a variety of audiences Scenario You have been appointed the director of strategic planning for the Fortune Global 500 company you selected

Develop a strategic plan for the company you have used throughout this course and share it with stakeholders. The company chosen is Amazon Create a 10- to

Develop a strategic plan for the company you have used throughout this course and share it with stakeholders. The company chosen is Amazon Create a 10- to 15-slide presentation for key stakeholders to solicit their approval of your strategic plan. Address the following in your presentation: • An introduction with

UP TO 4/25/2024- CLASS 2 *** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC* **** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART SEPARATELY WITH

UP TO 4/25/2024- CLASS 2 ***** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC***** ****** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART SEPARATELY WITH REFERENCES WHEN COMPLETED****** PART 1- Module 3- DISCUSSION – (SHEILA)- This discussion board post will take the form of a debate about the

VAL- UP TO 4/28/2024- CLASS 1 *** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC* **** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART SEPARATELY

VAL- UP TO 4/28/2024- CLASS 1 ***** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC***** ****** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART SEPARATELY WITH REFERENCES WHEN COMPLETED****** PART 1- Module 7- DISCUSSION – (VAL)- Golfer Delegation vs. Stewardship Delegation What are the differences between Golfer Delegation

SHEILA- UP TO 4/28/2024- CLASS 1 *** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC* **** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART

SHEILA- UP TO 4/28/2024- CLASS 1 ***** PLEASE MAKE SURE THAT ALL WORK IS AUTHENTIC***** ****** THIS ASSIGNMENT HAS 3 PARTS / PLEASE LABEL EACH PART SEPARATELY WITH REFERENCES WHEN COMPLETED****** PART 1- Module 7- DISCUSSION – (SHEILA)- Golfer Delegation vs. Stewardship Delegation What are the differences between Golfer Delegation

Please read each question, then choose four (4) of the five (5) questions to write a detailed response. Be sure to include examples and full discussion, if

Please read each question, then choose four (4) of the five (5) questions to write a detailed response. Be sure to include examples and full discussion, if asked. Boudreau and Ramstead (2006) describe three approaches to talent management, learning and development typical of most organizations. Identify two of the three and discuss.

Please Answer each question separately with at least 250 words 2 in text citations for each question and 2 references for each question. 1.Under what

Please Answer each question separately with at least 250 words 2 in text citations for each question and 2 references for each question. 1.Under what conditions should a company consider adopting a global geographical structure as opposed to a global product structure? Why? Is it logical for a transnational organization

Answer each question separately with at least 250 words 2 in text citations and 2 references per question. 1.What is the most significant effect of culture

Answer each question separately with at least 250 words 2 in text citations and 2 references per question. 1.What is the most significant effect of culture on the structure and strategy of an organization? Why? What are the principal strategic advantages or disadvantages of having several subcultures within an organization?

Leaders address issues and propose solutions. As a leader, you’ll need to stay on top of events that may facilitate or hinder productivity. You must create

Leaders address issues and propose solutions. As a leader, you’ll need to stay on top of events that may facilitate or hinder productivity. You must create and implement solutions to address these issues. You will continue to use the approved organization you selected in the Week 2 and 3 Assignments.

For this assignment, write a 1–2 page double-spaced paper in which you will: Describe the organization you selected based on the following

For this assignment, write a 1–2 page double-spaced paper in which you will: Describe the organization you selected based on the following criteria. Identify the organization you have selected. The organization should be one you are familiar with. You have access to internal processes. It has an organizational issue that

Select a company on which you would like to do your company project on and submit your name and the company name here. by Feb 25th 2024. Two students

Select a company on which you would like to do your company project on and submit your name and the company name here. by Feb 25th 2024. Two students cannot select the same the company. Students please review the companies selected by other students before you submit your choice. To help

Course Objective: CO-1: Describe the environment in which business operates. Prompt: In a 7 to 10 slide PowerPoint presentation, describe the four to five

Course Objective: CO-1: Describe the environment in which business operates. Prompt: In a 7 to 10 slide PowerPoint presentation, describe the four to five stages of the business lifecycle. What are the characteristics of each stage, and what might the organization experience at each stage? Provide examples to support your description.

Answer the following questions regarding the Index case and support your answers with logic, data, and evidence from the case: 1. How should Index

Answer the following questions regarding the Index case and support your answers with logic, data, and evidence from the case: 1. How should Index communicate its value proposition to retailers? 2. Assuming that you were in senior management at a major brick-and-mortar retailer customer of Index, how would you use