XYZ Corporation operates two plants, each of which has a capacity of 180 units per day. Each day, XYZ must ship their product to eachof four customers. Customers A, B, and C each have a demand of 15 units per day while customer D has a demand of 315 units perday. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below.Customer ACustomer BCustomerCCustomer DPlant 115181019Plant 212161412a. How many units should XYZ ship from each plant to each customer? (Leave no cells blank-be certain to enter "0" whereverrequired. Round your answer to the nearest whole number.)Customer ACustomer BCustomer CCustomer DPlant 1Plant 2b. What is the least XYZ will spend on shipping each day? (Round your answers to 2 decimal places.)Least XYZ< Prev5 of 5Next

Optimization modeling It is a branch of mathematics that aims to find the best solution to a…

Answered: XYZ Corporation operates two plants,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
FeVer Beverages is a typical coffee shop that operates at Batangas. Recently, the general manager is facing a challenge about not meeting their target lead time of serving the hot coffee of 15 minutes. The lead time starts from order taking until order serving. The staffing model of the shop has one cashier, one barista and a guard. The number of staff, equipment, and raw materials have been found sufficient. Based on the initial data analysis, the volume of customers has been stable. Because there is a need for the lead time to improve as to retain its customers and to even grow, a problem-solving effort has been started using the Lean Six Sigma DMAIC approach. Using the FEVER Beverages, you should create your own Project Charter and SIPOC Diagram.
Galaxy Candy Company manufactures two popular candy bars, the Eclipse bar and the Nova bar. Both candy bars go through a mixing operation where the various ingredients are combined, and the Coating Department where the bars from the Mixing Department are coated with chocolate. The Eclipse bar is coated with both white and dark chocolate to produce a swirled effect. A material shortage of an ingredient in the Nova bar limitsproduction to 300 batches per hour. Production and sales data are presented in the following table. Mixing CoatingAvailable capacity in hours 525 500Use of capacity in hours per batch of product: Eclipse 1.5 2.0 Nova…
A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (25) Customer 2 (50) Customer 3 (125) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?
The following data relates to the number of passengers the Mussina border post between Zimbabwe and South Africa can process:Maximum passengers that can be processed per day based on all the equipment and personnel = 5000 trucksCurrent number of passengers being processed = 4000 passengers per dayActual number of passengers processed yesterday = 3600Calculate the current utilisation level of the border post passenger processing system A. 18% B. 50% C. 80% D. 72% E. 90%
A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,respectively. The production rate of the plant for bands is 200 tons/hr, and that for coils is 140 tons/hr.Based on the market analysis, it has been identified that the weekly demand is at most 6000 tons and4000 tons for bands and coils, respectively . The plant operates for a maximum of 40 hours per week. 1. In Microsoft Excel, formulate a linear programming model instance for this problem, then solve. 2. Assume that the products need to be painted after manufacturing, and the painting departmentcan paint at a rate of 600 tons per hour for bands and 400 tons per hour for coils. The paintingdepartment works only for 20 hours. Update the linear programming model instance to accom-modate this requirement, and re-solve the problem. 3. The plant is planning to introduce another product “rods” to its production mix with the followingparameters:•Profit/ton = $40•Production volume = 150…
ChocoTown has a 4,000 square foot outlet store that serves five major customer regions, denoted A, B, C, D and E. The locations of the points representing the customer regions and their weekly demands are shown in the table below. The ChocoTown outlet store is at location (10,20). Customer Region Location Demand ($/week) A (0,10) 4,000 B (0,20) 2,000 C (20,0) 4,000 D (30,20) 3,000 E (40,10) 2,000 CandyTime is a new competitor of ChocoTown and they are considering opening a 4,000 square foot store at location (30,10). Assume the travel time from location i to j in minutes equals the straight line distance from i to j. a) Use the spatial interaction model to estimate the demand that would be captured by the new CandyTime store. Demand captured by CandyTime = ___________ b) Suppose the CandyTime store is located at (30,10), but it is not 4,000 square feet. Use the spatial interaction model to find the size in square feet for…
Jefferson Company’s demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. Actual run time this week 6,106 minutes Machine time available per week 8,600 minutes Actual run rate this week 4.32 units per minute Ideal run rate 6.00 units per minute Defect-free output this week 11,315 units Total output this week (including defects) 15,500 units 1. Compute the utilization rate.2. Compute the efficiency rate. 3. Compute the quality rate. 4. Compute the overall equipment effectiveness (OEE).
R. C. Coleman distributes a variety of food products that are sold through grocery store and supermarket outlets. The company receives orders directly from the individual outlets, with a typical order requesting the delivery of several cases of anywhere from 20 to 50 different products. Under the company’s current warehouse operation, warehouse clerks dispatch order-picking personnel to fill each order and have the goods moved to the warehouse shipping area Because of the high labor costs and relatively low productivity of hand order picking, management has decided to automate the warehouse operation by installing a computer-controlled order-picking system along with a conveyor system for moving goods from storage to the warehouse shipping area. R. C. Coleman’s director of material management has been named the project manager in charge of the automated warehouse system. After consulting with members of the engineering staff and warehouse management personnel, the director compiled a…
The mayor of Cambridge, Colorado, wanting to be environ-mentally progressive, decides to implement a recycling plan.All residents of the city will receive a special three-part bin toseparate their glass, plastic, and aluminum, and the city willbe responsible for picking up the materials. A young city andregional planning graduate, Michael Duffy, has been hired tomanage the recycling program. After carefully studying thecity’s population density, Duffy decides that the followingnumbers of recycling collectors will be needed: The requirements are based on the populations of the vari-ous housing developments and subdivisions in the city andsurrounding communities. To motivate residents of someareas to have their pickups scheduled on weekends, a specialtax break will be given.a. Find the minimum number of recycling collectors re-quired if each employee works 5 days a week and has twoconsecutive days off. Give preference to the S–Su pairwhen that pair is involved in a tie.b. Specify the…
Undertone Boating and Marine supports retail boat and water craft centers on the east coast by supplying them with quality power-boat and sailboat parts such as motors, oil filters, bildge pumps, boat covers, etc. The company’s 140 sales representatives work exclusively in the field visiting client company locations and submitting sales orders from laptop computers via an Internet connection to the corporate offices in Delaware. All of Undertone’s sales orders are received in this manner. Customer account, sales history, inventory, and cash receipts records are stored on a central server at the corporate site. Customers are billed digitally from the corporate office on a net 30 basis. Required: Outline the access controls that would be appropriate for this situation. Explain why these controls are necessary
A gold mining area in Lanao contains on average, 1 ounce of gold per ton. Two methods of processing are available; method A costs ₱1.5 M per ton and recovers 90% of gold; method B cost ₱1.3M per ton and recovers 80% of the gold. If gold can be sold for ₱2.4M per ounce, which method is better and by how much?

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