A bottled water production process is described by the following flowchart.ProductionSetup40 seconds /packBottleSanitization40 seconds /packWaterFiltering70 seconds /packConveyorBelt20 seconds /packBottle Filling120 seconds /packBottle Filling120 seconds /packBottle Filling120 seconds /packPacking60 seconds /packFirst, the process is set up for 40 seconds per pack of 6 bottles.Bottles making up each pack are then sanitized for 40 seconds per pack, while water 15filtered for 70 seconds per pack.A conveyor belt then takes 20 seconds to transport each pack to one of three identical bottlefilling stations.A bottle filling station takes 120 seconds to process each pack.Finally, the products go through a single packing station, which takes 60 seconds/pack. 11.What is the bottleneck activity in this production process?Answer:2. What is the total capacity of the process?Answer:3. What is the total flow/processing/throughput time of this productionprocess?

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Answered: A bottled water production process is…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 107P

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A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the woodcutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver. A. What is the optimal solution? B. What are the values of the slack/surplus variables at the optimal solution?
Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.
A Company has two support departments (Administration and Janitorial) and three producing departments (Fabricating, Assembly, and Finishing). Costs and activities are as follows: Administration Janitorial Fabricating Assembly Finishing Direct costs........................ $50,000 $30,000 $40,000 $50,000 $25,000 Number of employees....... 10 30 40 20 Square feet........................ 2,000 10,000 28,000 15,000 Direct labor hours.............. 5,000 6,000 2,000 Administrative services are allocated based on the number of employees; janitorial services are allocated based on square footage. Overhead rates for the three producing departments are based on direct labor hours. Required: Determine the overhead application rates for the producing departments using each of the three allocation methods: 1. Direct allocation method for the support departments 2. Step allocation method for the support departments 3. Reciprocal allocation method for the support departments
Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 7 5 2 5 5 3 5 2 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.$ _____ per minute, since the dual value is _____ on the grinder at the optimal solution.
The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) Minimize the under and…
The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the under…

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