A company produces motor cycle seats. The company has two production lines. The production rate for line one is 50 seats per hour and for line two it is 60 seats per hour. The company has entered into a contract to supply1200 seats daily to another company. Currently, the normal operation period for each
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A company produces motor cycle seats. The company has two production lines. The
production rate for line one is 50 seats per hour and for line two it is 60 seats per hour.
The company has entered into a contract to supply1200 seats daily to another company.
Currently, the normal operation period for each line is 8 hours. The
4 | P a g e
of the company is trying to determine the best daily operation hours for the two lines. He
sets the priorities to achieve his goals as given below:
- P1: produce and deliver 1200 seats daily
- P2: limit the daily overtime operation hours of line one to 3 hours
- P3: Limit the daily overtime operation hours of line two to 4 hours
Formulate the problem as a GP model and then solve it by using graphical method
Step by step
Solved in 3 steps with 4 images
- 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.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 loan processing operation at a local bank processes an average of 7 loans per day. The operation has a design capacity of 10 loans per day and an effective capacity of 8 loans per day. What is the utilization of the processing operation? Select one: a. 100.0% b. 87.5% c. 70.0% d. 80.0% Warranty expense, the cost that a business incurs for the repair or replacement of goods that has sold, is an example of which of the following? Select one: a. Internal failure cost b. Appraisal cost c. Prevention cost d. External failure cost
- A company that produces liquid facial lotion processes 2,375 lbm per hour of the product (ρ = 1.144 g/cm3).The production planning of the company is two shifts, one of 8 hours and the other of 6 hours per day and 300 working days per year. Calculate:a) How many liters of lotion are processed per year?b) How many bottles are required annually, if each bottle has a volume of 485 mL and they are filled to 95%?of your capacity?c) The company has a request from a customer for 795,350 bottles to deliver in a month. The companywill achieve this production?d) In case of not complying with the production, what would you do as a production manager to comply with therequested by the client? Justify your answer with informationFor the production of part R-193, two operations are being considered. The capital investment associated with each operation is identical. Operation 1 produces 2,100 parts per hour. After each hour, the tooling must be adjusted by the machine operator. This adjustment takes 15 minutes. The machine operator for Operation 1 is paid $24 per hour (this includes fringe benefits). Operation 2 produces 2,350 parts per hour, but the tooling needs to be adjusted by the operator only once every two hours. This adjustment takes 45 minutes. The machine operator for Operation 2 is paid $13 per hour (this includes fringe benefits). Assume an 8-hour workday. Further assume that all parts produced can be sold for $0.35 each. a. Should Operation 1 or Operation 2 be recommended? b. What is the basic tradeoff in this problem?A company manufactures clay bricks in batches. A batch consists of 200 bricks. The manager reports that his weekly production target is 1500 bricks. Each brick has to be processed through 5 machines on average. It takes on average 30 minutes to set up the machines and the average operation time is 6 minutes. There are 10 machines in the plant. Calculate the manufacturing lead time if the average non-operation time is 2 hrs. Calculate the production rate and If the plant operates 70 hours per week, calculate the production capacity Calculate the Production Capacity if the machines are only available for 85% of the time. Will the manager be able to meet his production target? Justify your answer.
- n a manufacturing process, a molded part spends 7 hours in inventory before being placed in a deburring machine, where the part is processed for 2 minutes. After deburring, the part spends 4 hours in inventory waiting for its turn on the polishing machine. The part then spends 7 minutes in polishing before waiting 6 hours in line to be painted. The part goes through a painting process that takes 7 minutes, then spends 11 hours in inventory before being shipped to the customer. What is the percentage of value-added time for the part?A Chocolate manufacturing company produced 180000 bars last year. The company works 3 shifts per day 8 hours shift and operates 250 days per year. The production line is designed to produce 100 bars per hour. The company allocates 0.5 an hour/day for preventive maintenance, 1 hour/ day for employee breaks, and 1.5 hours/day to set up machines for different products. What is the actual outputs? 30 bars per hour 48 bars per hour 60 bars per hour 100 bars per hour1) 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…
- 3.Consider the following three-stage production process of glass ceramics. The process is experiencing severe quality problems related to insufficiently trained workers. Specifically, 20 percent of the parts going through operation 1 are badly processed by the operator. Rather than scrapping the unit, it is moved to a highly skilled rework operator, who can correct the mistake and finish up the unit completely within 15 minutes. The same problem occurs at station 2, where 10 percent of the parts are badly processed, requiring 10 minutes of rework. Station 3 also has a 10 percent ratio of badly processed parts, each of them requiring 5 minutes by the rework operator. a)What is the utilization of station 2 if work is released into the process at a rate of 5 units per hour? b)Where in the process is the bottleneck? Why? (Remember, the bottleneck is the resource with the lowest capacity, independent of demand.)A company that operated 10 hours a day manufactures two products on three sequential processes. The following table summarizes the data for the problem: Which of the following is the most appropriate representation for variables x and y for the given situation? a.) x is the # of units of Product 1 to be procured; y is the # of units of Product 2 to be procured. b.) x is the # of units of Product 1 to be produced; y is the # of units of Product 2 to be produced. c.) x is the # of units of Product 1 to be stored; y is the # of units of Product 2 to be stored d.) x is the # of units of Product 1 to be delivered; y is the # of units of Product 2 to be delivered.Quasi-Tech Corporation produces specially machined parts. The parts are produced in batches in one continuous manufacturing process. Each part is custom produced and requires special engineering design activity (based on customer specifications). Once the design is completed, the equipment can be set up for batch production. Once the batch is completed, a sample is taken and inspected to see if the parts are within the tolerances allowed. Thus, the manufacturing process has four activities: engineering, setups, machining, and inspecting. Costs have been assigned to each activity using direct tracing and resource drivers as follows: Activity Expected Cost Activity Driver Activity Capacity Engineering $1,000,000 Engineering hours 5,000 hours Setups 900,000 Setups 200 setups Machining 2,000,000 Machine hours 25,000 machine hours Inspection 800,000 Inspection hours 2,500 inspection hours Quasi-Tech produces two models: Model C and Model D. The following table…