A company produces lumber at four productions sites, P₁, P2, P3, and P4, and must transport them to threemarkets, M₁, M₂, and M3. The company can produce 15 truckloads per week at P₁, 25 truckloads per weekat P2, 35 truckloads per week at P3, and 45 truckloads per week at P4. The company has determined that itmust provide M₁ with at least 45 truckloads per week, M₂ with at least 35 truckloads per week, and M3with at least 25 truckloads per week. The transport cost per truckload from each production site to eachmarket is given in Table 8.1.Table 8.1 Transport Cost Information for Problem 8Transport Cost [$/truckload]From/ToP₁P₂P3P4M₁500400300200M₂600500400300M3700600500200Define decision variables and formulate this transport problem as a mathematical program in standardform. (Note: I am not asking you to solve the problem. You simply need to formulate it after defining thedecision variables.)

Answered: Image /qna-images/answer/a79b3082-6052-417e-a68a-0ccd1a344390.jpg

Answered: A company produces lumber at four…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

M8
Recently, Walmart offered a wireless data contract based on bandwidth used, with a minimummonthly charge of $45 for up to 5 gigabytes (GB) of use. Additional GB can be purchased at the following rates: $12 for an additional 1 GB, $30 for an additional 3 GB, and $40 for a capacity of 10 GB.What is the cost for a user who is expecting to use 9 GB?
Macon Controls produces three different types of control units used to protect industrial equipment from overheating. Each of these units must be processed by a machine that Macon considers to be their process bottleneck. The plant operates on two 8-hour shifts, 5 days per week, 52 weeks per year. The table below provides the time standards at the bottleneck, lot sizes, and demand forecasts for the three units. Because of demand uncertainties, the operations manager obtained three demand forecasts (pessimistic, expected, and optimistic). The manager believes that a 25 percent capacity cushion is best. i Demand Forecast Component A B C Time Standard Processing (hr/unit) 0.04 0.20 0.05 Setup (hr/lot) 1.0 4.4 8.5 Lot Size (units/lot) 50 75 100 Demand Forecast Pessimistic Expected 16,000 17,000 10,000 12,000 18,000 24,000 a. How many machines are required to meet minimum (Pessimistic) demand, expected demand, and maximum (Optimistic) demand? (Enter your responses rounded up to the next…
ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season, trucks bring apples from the fields to the process plant during a workday that runs long hours from 7AM. On peak days, approximately 3,000 kg of apples are trucked in per hour. Trucks dump their contents in a holding bin with a storage capacity of 9,000 kg. When the bin is full, incoming trucks must wait until it has sufficient available space. A conveyor moves apples from bin to the processing plant. The plant is configured to process apples at the rate of 2,000 kg per hour. Trucks arrive uniformly between 7:00AM to 5:00PM. Each truck holds about 1,000 kg of apples. The truck drivers are paid at the rate of $10 per hour. As ABC makes fresh juice, it does not store apples. Processing plant starts at 10:00AM and ends when all the apples received during the day have been processed. It takes 2 hours to clean the empty plant that must be kept ready for the next day production. Trucks are owned…
Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Medium Low Own staff 600 550 350 Outside vendor 900 650 450 Combination 700 600 400 a. If the demand probabilities are 0.4, 0.25, and 0.35, which decision alternative will minimize the expected cost of the data processing operation? Own Staff What is the expected annual cost associated with that recommendation? If required, round your answer to the nearest thousand of dollars. Expected annual cost = $ ___________
Problem 2 The University of South Wisconsin has had steady enrollments over the past five years. The school has its one bookstore, called University Book Store, but there are also three private bookstores in town: Bill’s Book Store, College Book Store, and Battle’s Book Store. The university is concerned about the large number of students who are switching to one of the private stores. As a result, South Wisconsin’s president, Andy Lange, has decided to give a student three hours of university credit to look into the problem. The following matrix of transition probabilities was obtained: University Bill’s College Battle’s University 0.5 0.2 0.2 0.1 Bill’s 0.1 0.6 0.2 0.1 College 0.1 0.1 0.7 0.1 Battle’s 0.05 0.1 0.1 0.75 At the present time, market shares for University, College, Battle’s and Bill’s book stores are 0.3, 0.3, 0.2, 0.2. What will the market share…
A 36,000 square foot office building in Emeryville, California that was 88% leased had a 2023 annual net operating income estimated to be $1,880,000 with gross leases for all its tenants and a three level subterranean parking garage with 180 parking spaces. The 2024 NOI could be increased by all the following, EXCEPT: Increasing the operating expenses by adding additional maintenance staff Increasing the parking income by charging tenants for their employee parking Increasing the occupancy rate of the building by signing leases with new tenants Increasing the rental rates in new leases that are signed for the building
Chapter 5: Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour?
The maintenance department of an Oil and Gas Company has 6 large drilling equipment waiting for repairs. These are labelled A, B, C, D, E and F. The respective repair times (in days) and the remaining days before the due date are given in the table below.
Arsalan has been employed in ABC College of Engineering (The College) as a faculty memberfor last 10 years. Recently, he is promoted to the position of Director of Information Technology (I.T.). The college is ranked among the top colleges in Asia in the field of Engineering. At present, the College has enrolled 1500 full-time and 1000 evening program students. The College has been struggling for the past 10 years to provide the facility of wireless access to its students and faculty members. Arsalan, instantly after getting promoted as Director I.T., started working on a project in collaboration with 3 faculty members from his department, which involves providing all educational material on tablets to students and switching conventional books to e-books. If the project is successful, students would have to lease the tablets from the College for a period of one year. Arsalan visited different colleges to learn about the system they were using, to help him to develop his own system. In…
The manager of a company wishes to assign three jobs to four machines on one-on-one basis. The cost of each job on each machine if given on the following table. Solve it through Branch and Bound on Assignment Problem.
Morgan Trucking Company operates a special pickup and delivery service between Chicago and six other cities located in a four-state area. When Morgan receives a request for service, it dispatches a truck from Chicago to the city requesting service as soon as possible. With both fast service and minimum travel costs as objectives for Morgan, it is important that the dispatched truck take the shortest route from Chicago to the specified city. Assume that the following network (not drawn to scale) with distances given in miles represents the highway network for this problem. Chicago 1 36 31 21 2 3 9 10 11 21 4 13 Find the shortest-route distance from Chicago to node 6. 6 5 6 16 6 21 7

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS