A studio that makes statues is trying to maximize its profit. Their two primary products are the Liberty and Colossus statues. Each Liberty requires 14 minutes of machine time to rough cut the shape and 100 minutes of artist time to finish the details. The Colossus requires 28 minutes on the machines and 25 minutes with the artist's hand. The studio is limited each day to 196 minutes of machine time and 500 minutes of artist time. Both use 40 pounds of stone, and the studio has 320 pounds of stone available per day. If each Liberty brings in a profit of ninety dollars, and each Colossus brings in ninety-nine dollars, we want to know how many statues of each type the studio should make each day. Let L represent the number of Liberty statues and C represent the number of Colossus statues. Write the objective equation. Profit =
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- A startup company is considering making a part by injection molding. The part is moderately complex and the volume of the part is about 10 cubic centimeters. Assume that the part is designed for injection molding and can be made with a two part mold. The company needs to make 250,000 parts made from ABS plastic. Once the mold is made it will take a worker 1 minute to make one part using the injection molding machine. The company will use contract manufacturing to produce the parts. Estimate the cost per part and explain how you came up with the number. (If you are stuck look at the Contract Manufacturing Cost per Unit section. Also keep in mind that there is no exact right answer, the goal is to come up with a reasonable estimate.) Contract Manufacturing Cost per Unit: It’s not uncommon to hire another company to perform some or all the manufacturing for a product. To estimate the cost use ((Cost of Parts and Materials) + (man hours) × $40)/.75. 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…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
- Two vital stages in a production process are assembly I and assembly II. The unit load for the assembly I stage is 7.0 ( 50% higher for high skill) minutes, while it is 10.0 (30 % higher for high skill) minutes for assembly II. There are 7 employees working in assembly I and 8 employees working in assembly II. 65% of low skill labor and 35% of high skill labor are required at both stages. . On average 18% of the operating time is wasted, what's the theoretical unit load for Assembly II? answer is 9.06 please explainManufacturers 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.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 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.Tasty Tim’s Tasty Tim’s is a specialty taco restaurant. The following tasks are required for the successful assembly of a Tasty taco (times are in seconds per taco): Chop and trim meat – 30 Chop vegetables – 20 Grill meat – 240 Grill vegetables – 180 Prepare toppings - Lettuce - 10 - Tomato - 15 - Guacamole - 40 Assemble taco - Add meat - 5 - Add vegetables - 5 - Add cheese - 5 - Add toppings - 10 Wrap taco - 20 During the lunch hour, Tasty Tim’s encounters demand for 120 tacos. What is the labor content of one of Tasty Tim’s tacos?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.
- Tasty Tim’s Tasty Tim’s is a specialty taco restaurant. The following tasks are required for the successful assembly of a Tasty taco (times are in seconds per taco): Chop and trim meat – 30 Chop vegetables – 20 Grill meat – 240 Grill vegetables – 180 Prepare toppings - Lettuce - 10 - Tomato - 15 - Guacamole - 40 Assemble taco - Add meat - 5 - Add vegetables - 5 - Add cheese - 5 - Add toppings - 10 Wrap taco - 20 During the lunch hour, Tasty Tim’s encounters demand for 120 tacos. A) What is the labor content of one of Tasty Tim’s tacos? B) What is the Takt time (in seconds/unit) takt time for Tasty Tim’s taco shop? C) In an ideal world, how many workers should Tim hire to make tacos? D) During off-peak afternoon hours, demand at Tasty Tim’s drops to 40 tacos each hour. How many employees should Tim schedule to work during the afternoon? Again, ignore any effects of idle time or inefficiency due to poor line balancing.The ClickClock corporation produces clocks with six stations. Each station is manned by a human worker, who do the following tasks: These workers get paid $ 10 an hour. Ignore any Station Task Sequence Processing Time (secs) Task Heat-stake lens to bezel Inspect bezel Clean switch holes Install set switch in bezel Total time for A Check switch travel Clean inside bezel Install module in bezel Total time for B Install battery clip in module Heat-stake battery clip in module Install two batteries in module Check switch 14 2 26 A 3 10 Preparation 1 4 18 68 23 B 6 12 Preparation 2 7 25 60 8 20 9 20 Battery 10 22 Installation 11 8. Total time for C 70 Install band Inspect band Total time for D Cosmetic inspection Final test D 12 45 Band 13 13 Installation 58 E 14 4 Packaging 15 71 Preparation Total time for E 75 Place watch and cuff in display box Place cover in display box base 16 20 17 14 Watch 18 Place owner's manual and box into tub 30 packaging Total time for F 64Formtech Inc. produces transformers. Each order is custom designed and manufactured for the customer. Each order goes through 3 phases: Transformer Design, which takes 4 weeks. Procurement, which has a lead time of 8 weeks. Assembly and Testing, which takes 4 weeks The design group can handle only 4 projects at any given time. The other groups are not capacity constrained. How much total work-in-process (number of projects started but not yet completed) does the company typically have? (Hint: Little's Law)