Please do not give solution in image formate thanku. 8-7. Two products are manufactured on two sequential machines. The following table givesthe machining times in minutes per unit for the two products:Machine12Machining time in minProduct 156Product 232The daily production quotas for the two products are 80 and 60 units, respectively. Eachmachine runs 8 hours a day. Overtime, though not desirable, may be used if necessary tomeet the production quota. Formulate the problem as a GP model.

Given data :machine time in minutesmachine time in minutes machine product 1product 2153262The daily…

Answered: Two products are manufactured on two…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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er A product line includes 8 different product styles, each consisting of 93 components. Assume that 9 processing operations are needed to produce each component on average with each operation taking an average 1.2 min, which includes setup time and part handling time. All operations need a production machine, and currently 25 machines are dedicated to this task. The plant operates 52 hours per week, 52 weeks a year. Determine the yearly production of each style in units (round downward). 63 504
Tuff-Rider, Inc., manufactures touring bikes and mountainbikes in a variety of frame sizes, colors, and component com-binations. Identical bicycles are produced in lots of 100. Theprojected demand, lot size, and time standards are shown inthe following table: Item Touring MountainDemand forecast 5,000 units/year 10,000 units/yearLot size 100 units 100 unitsStandard processing time .25 hour/unit .50 hour/unitStandard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week,50 weeks a year. It operates five workstations, each producingone bicycle in the time shown in the table. The shop main-tains a 15 percent capacity cushion. How many workstationswill be required next year to meet expected demand withoutusing overtime and without decreasing the firm’s currentcapacity cushion?
The Abco Company manufactures electrical assemblies. The current process uses 10 workers and produces 200 units per hour. You are considering changing the process with new assembly methods that increase output to 300 units per hour, but will require 14 workers. Particulars are as follows: CURRENT PROCESS NEW PROCESS OUTPUT (UNITS / HOUR) NUMBER OF WORKERS MATERIAL COST/HOUR 200 300 10 14 $120 $150 Workers are paid at a rate of $10 per hour, and overhead is charged at 140% (or 1.4 times) labor costs. Finished switches sell for $20 / unit. Use the information provided in Table 1.2. What is the multifactor productivity of the current process? A) less than or equal to 8.0 B) greater than 8.0 but less than or equal to 10.0 C) greater than 10.0 but less than or equal to 12.0 D) greater than 12.0 I. Use the information provided in Table 1.2. What is the multifactor productivity of the new process? A) less than or equal to 8.0 B) greater than 8.0 but less than or equal to 10.0 C) greater than…
A process makes two products, A and B, and operates 5 days per week, 8 hoursper day. Demand for the two products for the next week is as follows:Day 1: A: 4; B: 6Day 2: A: 5; B: 5Day 3: A: 6; B: 4Day 4: A: 7; B: 3Day 5: A: 3; B: 7What is the takt time of the process? What would a level production schedule look like?
A process makes two products, A and B and operates 5 days per week, 8 hours per day. Demand for the two products for the next week is as follow: Day 1: A: 20 B: 26 Day 2: A: 10 B: 15 Day 3: A: 20 B: 19 Day 4: A: 18 B: 20 Day 5: A: 12 B: 20 What is the takt time of the process? (round answer to 5 decimal places.) What would a level production schedule look like?
. 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…
York-Perry Industries (YPI) manufactures a mix of affordable guitars (A, B, C) that are fabricated and assembled at four different processing stations (W, X, Y, Z). The operation is a batch process with small setup times that can be considered negligible. The product information (price, weekly demand, and processing times) and process sequences are shown below. Purchased parts and raw materials (shown as a per-unit consumption rate) are represented by inverted triangles. YPI is able to make and sell up to the limit of its demand per week with no penalties incurred for not meeting the full demand. Each workstation is staffed by one highly skilled worker who is dedicated to work on that workstation alone and is paid $17 per hour. The plant operates one 8-hour shift per day and operates on a 5-day work week (i.e., 40 hours of production per person per week). Overhead costs are $9,000/week. Product A $11 Step 1 Station W (14 min) Step 2 Station Z (10 min) Raw materials $5 Purchased part…
Please ignore diagram in the picture. The focus is on filling out the table based on information provided in bold text. You have an upstream department that feeds two downstream packing departments: Pack Singles and Pack Multis. Those Packing departments feed a Shipping department that loads the outbound truck. 40% of your Pick volume goes to Pack Singles and has a packing rate 171 units per labor hour. 70% of the Pick volume goes to Pack multis and has a pack rate rate of 266 units per labor hour. Your pickers pick both single and multis items all day at an overall average rate of 114 units per labor hour. All units process go through the ship process at a rate of 570 units per hour. If you have 102 people and must pack 47,880 ints in pack multis over a 10 hour shift, fill out table below: Department % Volume Rate Daily volume Number of people Pick Pack single 12 Pack multus Ship
A business company has the following capacity per month based on the following: 30 working days per month; 1 shift operation at 8 hours per shift; 30 minutes break per shift per employee ABC company produces bicycles and has the following Capacities per process. Frame Welding: 60 bikes per hour per machine Painting: 20 bikes per hour per worker Assembly: 50 bikes per hour per worker Inspection: 100 bikes per hour per worker What can be observed from the system if the demand for the month is 5,000 bikes?
Recall "Tommy's Dresses to go" case. Three years after, this company still rents designer dresses to customers, but it has managed to streamline its internal processes and expand to different segments of demand. Now, customers can rent clothes for anywhere between 1 days to 30 days, and each customer is sent only one (1) dress (instead of 2 dresses described in the case). The company alsó takes only 13 number of days to turn around a dress (i.e., this the duration starting with return from a customer, to again being rented out to a customer). The current demand is an average of 1,000 customers per day, and the company owns total of 30 thousand dresses. What is the average rental duration? (i.e., what is the average number of days, a customer keeps a dress).
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?
Manufacturing Aggregate Planning 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?

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