4. ( and deluxe. The estimated unit price on the standard, professional and deluxe model is $40, $60, and $80, respectively. The production processing time for each model and the total labor available (in terms of the number of hours) for each process can be summarized as follows: ) Suppose Apple makes three different models of tablets: standard, professional, Standard (# hrs) Professional (# hrs) Deluxe (# hrs) | labor available (# hrs) Wiring Assembly Decoration 12 2 1 1 3 16 (a) Formulate a linear program that will maximize the total revenue. Clearly write down the decision variables, the objective, and the constraints. ( (b) Convert the linear program into the standard form. I Page 7 - ... ... (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-step work.
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- 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?A company assembles a product that consists of three pieces called AA, BB, and CC. The AA and BB parts are manufactured by the company itself, while the CC parts are purchased from another manufacturer. The process times, in hours, required for each piece in each of the processes are given in the following table: Process 1 Process 2 Process 3 Process 4 Process 5 AA 1 0.5 0.5 BB 1.5 0.5 0.5 0.5 The company has 20 machines that can carry out process 1, 5 process 2, 10 process 3, 5 process 4 and 5 process 5. Each machine works a maximum of five days each week at a rate of fifty weeks a year , in working days of 8 hours a day. Formulate and solve to determine the maximum number of assembled sets that you can produce.[The following information applies to the questions displayed below.] The following are the car repair shop data: TETE Ticket No. Work Ticket No. Work Ticket No. Work 1 Lube & oil 11 Battery 21 Battery Tires 2 Lube & oil 12 Tires 22 3 Brakes 13 Brakes 23 Brakes 4 Lube & oil 14 Transmission 24 Transmission Lube & oil 15 Brakes 25 Brakes Tires 16 Battery 26 Lube & oil 7 Tires 17 Brakes 27 Lube & oil 8. Brakes 18 Tires 28 Lube & oil 9. Brakes 19 Tires 29 Tires 10 Lube & oil 20 Lube & oil 30 Lube & oil
- 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?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.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
- ABC Manufacturing is evaluating the desirability of implementing process improvements and is seeking your help in determining whether it should proceed with the proposed improvements. One area of focus is how the improvements will affect processing time (manufacturing cycle time efficiency). Estimated activities and associated times for these activities under both the current process and after process improvements are as follows: Process Activity Current Process After Process Improvements Wait time 4 hours 1 hour Inspection 40 minutes 5 minutes Moving 80 minutes 20 minutes Processing (manufacturing) 2 hours 75 minutes Required: 1. Determine the manufacturing (production) lead time (in minutes) for each of the two decision alternatives. 2. Determine the manufacturing cycle efficiency (MCE) for each decision alternative.The Union Manufacturing Company is producing two types of products: A and B. The demand forecasts, batch size, and time standards follow: Demand forecast (units/yr) Product A Product B 1,000 4,000 Batch size (units/batch) Processing time (hr/unit) 20 10 3.2 4.5 Setup time (hr/batch) 10 20 Both products are produced on the same machine, called Mark I. 11) Using Table 4.1, what is the total number of hours required of Mark I equipment for the next year? A) fewer than 29,000 hours B) between 29,000 and 30,000 hours C) between 30,000 and 31,000 hours D) more than 31,000 hoursConsider the following batch-flow process consisting of three process stepsperformed by three machines. Process steps step 1 step 2 step 3 processing time 0.25min./unit 0.20 min./unit 0.15 min./unit setup time 30 min 20 min 45 min Work is processed in batches at each step. Before a batch is processed at a step, the machine atthat step must be set up. (During a setup, the machine is unable to process any product.) Assumethat there is a dedicated setup operator for each machine (i.e., there is always someone availableto perform a setup at each machine.)a. What is the capacity of step 1 if the batch size is 35 parts?b. For what batch sizes is step 1 (2, 3) the bottleneck?
- A company makes two products (A and B). Each product requires time on two machines 1 and 2. the specifications for each product are as follows Product A Product B Processing time on machine 1 (hrs/unit) Processing time on machine 2 (hrs/unit) Material and labor cost (Sh./ unit) Selling price (Sh./ unit) Maximum possible sale (units) 2 1 2 14 15 16 18 130 150 The amount of time available on machine 1 is 360 hrs and on machine 2 is 260 hrs. Using simplex method determine the number of product A and B, which should be sold in order to maximize total contribution for the company.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?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.