. Midtown Manufacturing Company makes plastic plates and cups, both of which require time on two machines. Producing a unit of plates requires 1 hour on Machine A and 2 hours on Machine D. while producing a unit of cups requires 3 hours on Machine A and 1 hour on Machine B. Each machine is operating for at most 15 hours per day. Each unit of plates brings in $10 in pront for the company and each unit of cups brings in $12 in profit. a. Write a system of inequalities expressing these conditions and graph the feasible region. b. Find the profit maximizing combination of plates and cups this company can and should produce.
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- 1. A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 100 carts per hour. Workers receive $20 per hour, and machine cost was $50 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by four carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. Comment on the changes in productivity according to the two measures, and on which one you believe is the more pertinent for this situation. C.1) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes, Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C₁=40 TL/Hour, cost of a machine is C₂-200 TL/Hour. What is the cost per unit of production if optimum number of machines is assigned to the operator? (Note: Times are given in minutes and costs are per hour) a) 231 TL/unit b) 6930 TL/unit c) 115.5 TL/unit d) 240 TL/unit e) 132 TL/unit 2) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes; Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C1=40 TL/Hour; cost of a machine is C₂=200 TL/Hour. How many machines (integer number) should be assigned to the operator so that the total operator and machine costs….A team of 10 unloaders is employed in good reception bay of a large warehouse. During an 8 hour day 40 lorries arrive and it takes the team 10 minutes to unload each lorry. Each team member is paid RM3 per hour and it costs RM10 per hour to keep lorries waiting. Studies show that increasing the team to 14 men would reduce the unloading time to 7 minutes. Would it be worthwhile increasing the team to 14?
- A 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 economicalA Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 6 workers, who produced an average of 78 carts per hour. Workers receive $10 per hour, and machine coast was $36 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $13 per hour while output increased by four carts per hour.a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = (round to 4 decimal places).b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = % (round to 2 decimal places)An 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?
- A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 7 workers, who produced an average of 87 carts per hour. Workers receive $15 per hour, and machine coast was $43 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $14 per hour while output increased by four carts per hour. a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/S) = Blank 1 (round to 4 decimal places). b) Compute the productivity changes between the Prior to and after buying the new equipment. The productivity growth = Blank 2% (round to 2 decimal places) Blank 1 Add your answer Blank 2 Add your answerl AT&T ? C 2:01 PM ... mple Practice Math Flov Sample 1 You have an upstream Picking department that feeds two downstream packing departments: A and B. 75% of your Pick volume goes to department A, which has a packing rate of 150 units per labor hour (uph). 25% of the Pick volume goes to department B, which is for large items, and has a pack rate of 25 units per labor hour. Your pickers pick both large and small items throughout the day at an overall average rate of 100 units per labor hour. You have 25 people today for all 3 departments, and you absolutely must pack 7,500 units in department A to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer Department % of Rate Реople Daily volume| (uph) volume Pick 100% 100 Pick A 75% 150 ? 7,500 Pick B 25% 25 ?A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 6 workers, who together produced an average of 70 carts per hour. Workers receive $18 per hour, and machine cost was $30 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour, while output increased by 5 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) c. Comment on the changes in productivity according to the two measures. (Round your intermediate calculations…
- A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 90 carts per hour. Workers receive $13 per hour, and machine cost was $50 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by 5 carts per hour. a. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. (Round your answers to 3 decimal places.) Before carts per worker per hour After carts per worker per hour b. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure. (Round your answers to 3 decimal places.) Before carts/dollar cost…create an exercise involving obtaining parts per hour of work. Example: (This is an example, do not answer) A factory that produces computer mice works in a quiet and regular manner since it does not sell its product to large companies, nor is its demand very variable.It produces 280 mice per month, of which 270 are conforming products. In October 2019, 23 days were worked. Its standard operating time is 7 hours a day, with a 30-minute lunch break. In addition, in the mornings the machines must be allowed to warm up for 20 minutes. The machines are operated in this manner from Monday to Friday. When they reach the production of 250 mice, they take a "break" to review the production so far. This waiting time (kanban) takes them 4 hours. Determine the total number of parts produced during the month of October 2019. Now, create another example of parts per hour of work:A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by 4 carts per hour. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity.