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Use SIMPLEX METHOD to solve the following problem
A manufacturer makes two products, each requiring time on two different machines. Each unit of product 1 requires 3/4 hour of machine 1, and 1/4 hour on machine 2; each unit of product 2 requires 1/4 hour on machine 1, and 1/3 hour on machine 2. Machine 1 is available for 12 hours each day, and Machine 2, 10 hours. The unit profit on Products 1 and 2 are 50 pesos and 60 pesos, respectively. Determine the optimal combination of the products that will maximize profit.
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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.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. 4,900 minutes 7,000 minutes 3.8 units per minute 4.0 units per minute 15,827 units 18,620 units Actual run time this week Machine time available per week Actual run rate this week Ideal run rate Defect-free output this week Total output this week (including defects) Required: 1. Compute the utilization rate. (Round your answer to 2 decimal places.) 2. Compute the efficiency rate. (Round your answer to 2 decimal places.) 3. Compute the quality rate. (Round your answer to 2 decimal places.) 4. Compute the overall equipment effectiveness (OEE). (Do not round intermediate calculations. Round your final answer to 3 decimal places.) Utilization rate Efficiency rate Quality rate Overall equipment effectivenessJefferson 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).
- A machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. Speed Hour Output per Tool RegrindingA 200 pieces every 8 hours B 280 pieces every 5 hours A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc D. Speed A >037/pcA recurring maintenance job in a factory is being done by a three-man crew. Due to the nature of the job and space limitations, it was observed that two of the men were idle 37% of the time; one of the men was also idle an additional of the time, and at any given time only one man was required. The men were each paid P24.00 per hour. Each time the job was performed a set of tools and equipment with a value equivalent to P36.00 per hour was used. If the three-men crew could complete the work in 5 hours, which crew size would be the most economicalDesign capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. Question Why is the capacity design important?
- Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. In design capacity it is assume that the company will produce in best and ideal condition to produce goods and services while in Effective capacity it is assume that company will produce in current operating conditions. In design capacity it is assume that the company have unlimited resource's. It means these resource's include:- Men,…A company that makes a product recently purchased some new equipment that reduces the labor content of the jobs needed to produce the product. Prior to buying the new equipment, the company used six workers, who produced an average of 90 units per hour. Workers receive P35 per hour and machine cost was P2,000 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by P500 per hour while output increased by four units per hour. Compute labor productivity under each system. Use units per worker per hour as the measure of labor productivity.A company that makes a product recently purchased some new equipment that reduces the labor content of the jobs needed to produce the product. Prior to buying the new equipment, the company used six workers, who produced an average of 90 units per hour. Workers receive P35 per hour and machine cost was P2,000 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by P500 per hour while output increased by four units per hour. Compute the multifactor productivity under each system. Use units per peso cost (labor plus equipment) as the measure.
- Knott’s Industries manufactures standard and super premium backyard swing sets. Currently it has four identical swing-set-making machines, which are operated 250 days per year and 8 hours each day. A capacity cushion of 20 percent is desired. The following information is also known: Standard Model Super PremiumModel Annual Demand Standard Processing Time Average Lot Size Standard Setup Time per Lot 20,000 7 min 50 30 min 10,000 20 min 30 45 min a. Does Knott’s have sufficient capacity to meet annual demand?b. If Knott’s was able to reduce the setup time for the Super Premium Model from 45 minutes to 30 minutes, would there be enough current capacity to produce 20,000 units of each type of swing set?In order to produce 1000 units of X in a week units X is scheduled weekly for Operation B (due to 5% scrap ratio) units X is scheduled weekly for Operation A (due to 2% scrap ratio) Based on your answer in part a, find the number of machines required to produce 1000 units of X per week. The total time required to perform Operation B = minutes per week The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine machines are requiredAn injector machine goes down roughly 20% of the time (the injector gums up and needs to be cleaned, a quick process). One operator is assigned to service three identical such machines. Each machine can produce 100 parts/h if running properly (i.e., not down). The operator is paid $10/h and each machine costs $20/h to operate. Consider 8hr/shift a) Please fill in the table below: b) How many parts can you produce per shift? c) What is the unit cost fper part for this operation? d) If you hire another operator at the same rate to assist the first operator, what is the unit cost now? e) Is it worth hiring another operator at the same rate to assist the first operator, in case more than one machine goes down at the same time?