1. A manufacturer produces three different devices (device A, B and C) at two manufacturing facilities (the Monroe plant and the Euclid plant). Each day the Monroe plant can produce 200 units of device A, 300 units of device B, and 50 units of device C at a cost of $600. Each day the Euclid plant can produce 300 units of device A, 300 units of device B, and 25 units of device Cat a cost of $800. An order for 700 units of device A. 900 units of device B, and 100 units of device Cis received. Find the number of days that each plant should operate to meet the orders placed- for the three devices at a minimum cost to the manufacturer. Show all the necessary steps needed to solve this problem. You may use your calculator's graphing functions to help solve this problem. You may NOT use Excel for this exercise, Your final answer should be in the form of a sentence. Organization and neatness counts!

1. A manufacturer produces three different devices (device A, B and C) at two manufacturing facilities (the Monroe plant and the Euclid plant). Each day the Monroe plant can produce 200 units of device A, 300 units of device B, and 50 units of device C at a cost of $600. Each day the Euclid plant can produce 300 units of device A, 300 units of device B, and 25 units of device Cat a cost of $800. An order for 700 units of device A. 900 units of device B, and 100 units of device Cis received. Find the number of days that each plant should operate to meet the orders placed- for the three devices at a minimum cost to the manufacturer. Show all the necessary steps needed to solve this problem. You may use your calculator's graphing functions to help solve this problem. You may NOT use Excel for this exercise, Your final answer should be in the form of a sentence. Organization and neatness counts!

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.
Digital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…
Montaño Manufacturing is considering a purchase of robots to automate their manufacturing system. Vicente Montaño, MM's CEO, has gathered the following data for six robots he is considering. Given that all other factors are equal, which machine should Mr. Montaño purchase based on system availability? Provider MTBF (Hr) MTTR (Hr) Captain Marvel 60 6 Mary Marvel 36 3 Freddy Freeman 24 2 Eugene Choi 72 7 Pedro Peña 90 7 Darla Dudley 110 8
A company has two warehouses that store different products: Tashkent and Samarkand. When an order is received, it is distributed across these warehouses: if some of the relevant products are maintained in Tashkent, a sub-order is sent there; likewise, if some relevant products are maintained in Samarkand, a sub-order is sent there. Afterward, the order is registered and the process completes. Draw a detailed BPMM model for this scenario
50-Step Assembly Line Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. Probability that a defective product is produced (independent of the defect being found or not) (in decimal form): What is the probability that a defective product is moved to the shipping department?
50-Step Assembly Line Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. What is the probability that a defective product is produced (independent of the defect being found or not)?
50-Step Assembly Line Consider an assembly line with 50 steps that are carried out sequentially. Each of the 50 steps has a defect probability of 1%. The final product produced on the assembly line is defective if any one of the 50 steps made a defect. At the end of the assembly line there are two operators independently inspecting the product. Each of them is recognizing a defective product with a 90% probability. Assuming that the product is not defective, it is moved to the shipping department. Otherwise, the product is scrapped. A) What is the probability that a defective product is produced (independent of the defect being found or not)? B)What is the probability that a defective product is moved to the shipping department?
Prybloxx primarily uses one courier company, AJAX Couriers, for all their deliveries. In some circumstances, where AJAX is too busy and does not have capacity to fulfil deliveries or they do not cover certain areas, only then will Prybloxx make use of a different courier company. Prybloxx has recently had a significant influx of customer complaints regarding goods that have not been delivered, delivered long after the agreed delivery time or damaged once they arrive at the customer. Prybloxx is aware of the effect that this could have on demand for their product, customer goodwill and are now investigating insourcing the delivery of their product to customers. Prybloxx has noted that they have two alternatives in insourcing this department – they can either purchase a local courier company that is considered a going concern or they can purchase all of the required assets and set up such a department themselves. Mr. Pranoto (production manager) has requested that you prepare a report…
a) Suppose you walk into a large supermarket at 2 am with a friend. Your friend says, "I can't believe that these stores stay open all night. Only one out of fifteen checkout lines is open. There can't be more than ten shoppers in this store. It just doesn't make any sense for this store to be open all night." What conditions must be true for it to be to the advantage of the supermarket to stay open all night? b) Your friend has a large garden and grows fresh fruit and vegetables to be sold at a local "farmer's market." Last year your friend was the only worker in the garden, without any additional workers. However, this year your friend hired a worker and production more than doubled. He comments "Next summer, I think I'll hire another two workers (so total workers including myself would go up from 2 to 4) and my output should again more than double". Is it likely that he could hire more workers and always continue to reap greater than proportional increases in production? Why?
Reinventing the Wheel at Apex Door Company Jim Delaney, president of Apex Door, has a problem. No matter how often he tells his employees how to do their jobs, they invariably "de- cide to do it their way," as he puts it, and arguments ensue between Jim, the employee, and the employee's supervisor. One example is the door-design department, where the designers are expected to work with the architects to design doors that meet the specifications. While it's not "rocket science," as Jim puts it, the designers invariably make mistakes such as designing in too much steel, a problem that can cost Apex tens of thousands of wasted dollars, once you consider the number of doors in, say, a 30-story office tower. The order processing department is another example. Jim has a very specific and detailed way he wants the order written up, but most of the order clerks don't understand how to use the multipage order form. They simply improvise when it comes to a detailed question such as whether to…
An injection molding system has a first cost of $90,000, and an annual operating cost of $42,000 in year 1, increasing by $5000 per year thereafter. The salvage value of the system is 30,000 if you sell after 1 year of use. The salvage value decreases by $5,000 each year thereafter. The maximum useful life of the machine is 4 years. Using a MARR of 20% per year, determine the ESL and the corresponding Equivalent Annual Cost of the system.
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