(3) Due to the MCO, the supplier has increased the price of the wood. The company has to absorb this cost and maintain the same selling price, and so lower the profit made for each wood-framed mirror. How would the optimal solution change (if at all) if the profit per wood-framed mirror decreases from RM60 to RM20.
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- 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 economical.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?Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy. b.) Compute the costs of the Level Strategy c.) Compare the costs of the two strategies. Which one is superior?
- A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?Manufacturers Inc. (MI) currently has a labor force of 10, which can produce 600 units per period. The labor cost is now $5000 per period per employee. The company has a long-standing rule that does not allow it to make use of any overtime. In addition, the product cannot be subcontracted, due to the specialized nature of the machinery that MI uses to produce it. As a result, MI can only increase/decrease production by hiring or laying off employees. The cost is $10000 to hire or lay off an employee. Inventory carrying costs are $200 per unit for any unsold items at the end of the period. The inventory level at the beginning of period 1 is 400 units. The forecast demand is 700 in period 1,600 in period 2,450 in period 3, 250 in period 4,500 in period 5, and 550 in period 6. a.) Compute the costs of the Chase Demand Strategy.A processor makes two components, A and B, which are then packaged together as thei nal product (each product sold contains one A and one B). The processor can do onlyone component at a time: Either it can make As or it can make Bs. There is a setup timewhen switching from A to B.Current plans are to make 100 units of component A, then 100 units of component B,then 100 units of component A, then 100 units of component B, and so forth, where thesetup and run times for each component are given below.Component Setup/Changeover Time Run Time/UnitA 5 minutes 0.2 minuteB 10 minutes 0.1 minuteAssume the packaging of the two components is totally automated and takes onlytwo seconds per unit of the i nal product. This packaging time is small enough that youcan ignore it. What is the average hourly output, in terms of the number of units of packagedproduct (which includes one component A and one component B)?
- 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 diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at least 40 units 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit. A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each brand Y capsule costs P9.00, how many capsules should the patient take each day to minimize the costs?In a job shop, effective capacity is only 79 percent of design capacity, and actual output is 53 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Add your answer
- A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.The textile company “Designs Sports” is dedicated to the production of sports clothing. In its line has shorts, pants and t-shirts. From management they requested to manufacture the quantity of each product to maximize profits. To manufacture each type of garment It goes through two areas, sewing and finishing. Furthermore, all three garments require the same type of fabric. Two people work in the sewing area, while in the production area finished only one. In the company we work 8 hours a day, 5 days a week. The Weekly fabric availability is 375 square meters. Lastly, each shirt contributes $100 US to profits, each short with $80 US; and each pair of pants with $150 US. Solve this operations research problem.. Aquatica makes underwater camera housings for divers. The process begins with a solid rectangular block of aluminum that is used to make a single housing. A computer numerically controlled (CNC) machine drills into the block to make the metal “frame” of the housing. Each block requires 15 minutes of drilling. The frame is then chemically treated in a series of baths. There is ample capacity in the treating stage. Finally, a worker must manually attach the various buttons and components to the metal housing. This assembly takes 120 minutes per housing per worker and Aquatica has 6 workers trained to do this task. The CNC machine requires a 30-minute setup time before the production of a batch can begin. a. If the CNC machine produces 14 housings between setups, what would be its capacity (in housings per hour)? b. Assuming the process is supply-constrained, what is the utilization (as a number between 0 and 1) of the CNC machine if it operates in batches of 14 housings? c. Assuming…