A toy factory creates miniature steel train engines and box cars. The fabrication department has 4,019minutes available per week and the assembly and finishing department has 8,699 minutes available perweek. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 15 minutes ofassembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and15 minutes of assembling and finishing.The profit on each miniature steel train engine is $6.50 and the profit on each miniature steel box car is$5.25. How many steel train engines and steel box cars should be produced each week to obtain themaximum profit? Find the maximum weekly profit.(Use z for box car and y for train engine.)Maximize P =≤4,019subject to<8,699Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. Ifmore than one solution exists, enter only one of the multiple solutions below. If needed round toys to 1decimal palace and profit to 2 decimal places.Number of miniature steel box cars to manufacture to maximize profit isMaximum profit is $Number of miniature steel train engines to manufacture to maximize profit is

Decision Variables: Suppose- x be the no. of miniature steel box cars to manufacture y be the no. of…

Answered: A toy factory creates miniature steel…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
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fi Auto mobile company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, then 80 per day could be painted. If the paint shop were only painting cars, then 120 per day could be painted. If the body shop were only producing cars, then it could process 100 per day. If the body shop were only producing trucks, then it could process 100 per day. Each truck contributes GHS60,000 to profit, and each car contributes GHS40,000 to profit. Use linear programming to determine a daily production schedule that will maximize the company’s profits.
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bama pie company's assembly line operations (the assembly line operates for six hundred minutes per day) comprise of eleven tasks, with the longest task time being 2.4 minutes and the shortest task time being 0.4 minutes; the sum of the task times is eighteen minutes. the firm is working on balancing its assembly line operations. the firm needs to produce 200 pies per day; to achieve this, the firm calculates the required cycle time as ---- minutes?
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A small shoe manufacturer makes two styles of shoes: oxfords and loafers. Two machines are used in the process: a cutting machine and a sewing machine. Each type of shoe requires 15 min per pair on the cutting machine. Oxfords require 10 min of sewing per pair, and loafers require 20 min of sewing per pair. Because the manufacturer can hire only one operator for each machine, each process is available for just 8 hours a day. Set up a system of linear inequalities that describes the number of pairs of each style of shoes that the manufacturer can produce within required working hours.

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