A large manufacturing company is losing three of its existing plants and intends totransfer some employees to three plants that will remain open. The number ofemployees available for transfer from each closing plant is as follows:Closing plantsAvailable employees1602105370Total235The following numbers of employees can be accommodated at the three plantsremaining open:Remaining plants Employees requiredA45B90с35Total170Each transferred employee will increase the amount of product produced at eachplant, as shown in the following table:FromTo locationlocationABс15862109123768The company wants to transfer employees to ensure the maximum increase in productoutput. Solve this problem using the transportation Simplex method (section 2.1) tofind the maximum increase in product output and the number of employeestransferred between each plant. You must show all working including the intermediateand final tableaux, and provide a summary of your findings in a sentence or two.

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Answered: A large manufacturing company is losing…

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...

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9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) A 2000 500 1200 B C Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect per- centages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are as follows: Сараcity (units) Product Machine Machine A в C 1500 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20 1 1500 1000 3 Use the transportation model to develop the minimum cost production schedule for the products and machines. Show the linear programming formulation. 123
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…
New students who join the university, should visit cer-tain departments in their first day, as part of the registration and induction process. Students are usually allocated to groups of ten,and their visits and their timings are as follows:DEPARTMENT DURATION FOR EACHGROUP (MINUTE)Registration/Finance 60IT 45Library 90Social Club 30Sport Centre 30Student Support Service 45Medical Centre 45Campus Services (banks, restaurant, etc.) 30During the visit, at least one person from the university student support team should be with each team of students. The stu-dent support team has allocated the visit of every two depart-ments to one person as follows: Deborah (Registration and IT), Gemma (Library and Social Club), Frank (Sport Centreand Student support service), and Raj (Medical centre and Campus services). The visits of the departments can be done inany sequence. Based on the current arrangements,a) What is the cycle timeb) What is the throughput per hourc) Total idle time in each…
Mazoon, a four-wheeler company, is a leading company in Shalala manufacturing chassis of bus/lorry, in 300 acres of land with 200 employees. The annual production capacity of the plant is 40,000 chassis. The market research department projected its future demand to be 1.5 times the present capacity of the plant. So, the company took a decision to set up another plant in Nizwa with a capacity of 100,000 chassis. It is in the process of procurement of the required land of 800 acres. The projected number of employees in the new factory would be 1,000. The productivity of any company mainly depends on the type of layout that is used to carry out the activities to produce the product. So, the industrial engineering department of the exiting company is given the task of design the right type of layout for the new company. All the sections of the automobile company will not have the same type of layout. The final assembly of chassis is done on a powered conveyer belt. This part of the company…
1
A city would like to know how many vehicles it could move through its streets in an emergency. The most likely situation is an evacuation starting at the school and ending at the park. The connections between these two locations, plus their capacity and direction, is shown below. School B Path Capacity Oak Street Elm Street A 10 с E B C 20 15 1 Street D 30 2nd Street E 25 F F 20 Park G 15
The Rae Mischel Company expanded its shipping capacity and the additional cost of doing this from each warehouse to terminal is highlighted in the following table. Determine theminimum cost to ship from each warehouse to terminal.
Formulate a linear program using LP Model Formulation. Miguel hauls mangoes between Manila mango plantation and packing plants in Clark. Miguel’s schedule this week calls for 500 boxes with locations and costs as follows.
A supplier ships goods from Richmond, VA to three market places in 3 cities (Chicago, IL; Athens, GA; St. Luis, MO). The supplier can ship every day, every other day, or every third day. There is a penalty of $0.30/cwt for each day delayed. Consolidating shipments allows for lower transportation costs from larger loads, but incurs penalty costs due to the delay. Transportation Rate (S/cwt) Shipment City Weight/day LTL 50,000 lb 50000 lb Chicago, IL 18,000 lb (180 cwt) 1.50 1.25 Athens, GA 15,000 lb (150 cwt) 1.35 1.00 St. Luis, MO 12,000 lb (120 cwt) 2.00 1.50 Total 45,000 Ib = 450 cwt Find what is the cost for the following: Shipping Every Day Shipping on the alternate Day (every two days) Shipping every three Day
Use the following for the next 2 questions: A company forecasts that it will ship 120,000 boxes of product in June. The product has a monthly turnover of 3. The company plans to use its facility to ship 80,000 boxes and the balance of the 40,000 boxes will ship from a rented facility. Space may be rented for a charge of $7 per box per month with an in-and-out handling charge of $0.45 per box shipped. 1. What is the rented (fixed) storage cost for June? - $280,000 - $180,000 - $42,500 - $250,000 - $93,333 - $153,333 - $173,333 2. What is the rented variable cost for June? - $33,333 - $43,333 - $6,000 - $38,000 - $18,000 - $28,000 - $23,333
A company has three existing warehouses to which it will ship furniture from a new factory whose location must be decided. The factory will receive raw materials from its wood supplier and fabric supplier. The annual number of shipments, shipment costs and the location of the suppliers and warehouses are shown below Existing facilities Annual L to or from fact cost Coordinate location Wood supplier 120 10 (100, 400) Fabric supplier 200 10 (800,700) Ware h 1 61 10 (300, 600) Ware h 2 40 10 (200, 100) Ware h 3 70 10 (600, 200) Using the median load answer the following questions –Where the factory should be located to minimize annual transportation cost –What will be the minimum annual transportation cost

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