A production line of a mechanical spare part includes three stages such as moulding, finishingand packing. As the production engineer, you are required to improve the efficiency of theprocess immediately to cater a relatively large order which needs to be served in a limited time.On the shutdown day you only have resources and time to do detailed maintenance in only onecomponent. In order to do that you are required to identify the component(stage) which affectthe most to the total time consumed. Following details were obtained in a cycle time analysisof most recent week. Using these details find the most significant component by performing acorrelation analysis.Day 1Day 2Day 3Day 4Day 5Day 6Day 7Average3135.53140.5343937.5time forTotalprocessAverage15201725182420time forMouldingAverage4.576.75.5time forfinishingAverage10119.8.51012time forpackingFactory manager claims that there is a positive relationship between moulding time and totaltime taken for the process. As the production engineer you need to test this hypothesis usingthe above data. If there is a relationship, provide the best fitted straight line for the above datausing linear regression.You should interpret your results in a method that can be understood by a non-technicalaudience.co

Correlation The correlation is a statistical technique that is used for analyzing the behavior and…

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
A production line of a mechanical spare part includes three stages such as moulding, finishing and packing. As the production engineer, you are required to improve the efficiency of the process immediately to cater a relatively large order which needs to be served in a limited time. On the shutdown day you only have resources and time to do detailed maintenance in only one component. In order to do that you are required to identify the component(stage) which affect the most to the total time consumed. Following details were obtained in a cycle time analysis of most recent week. Using these details find the most significant component by performing a correlation analysis. Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 Average time for Total 35.5 31 40.5 34 39 37.5 process Average 15 20 17 25 18 24 20 time for Moulding Average 4.5 7 7 5.5 time for finishing Average 10 11 8.5 10 12 time for packing Factory manager claims that there is a positive relationship between moulding time and total time…
A tool company has a uniform annual demand for 9,000 premium chainsaws. It costs $5 to store a chainsaw for a year and $2,500 to set up the plant for manufacture of the premium model. How many chainsaws should be manufactured in each production run in order to minimize the total storage and setup costs
A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for 1 year, $31 in set up cost to produce each batch, and $15 to produce each case. Find the number of cases per batch that should be produced to minimize cost. The manufacturer should produce cases per batch. (Round to the nearest whole number as needed.)
Suppose that a company needs 1,200,000 items during a year and that preparation for each production run costs $500. Suppose also that it costs $29 to produce each item and $3 per year to store an item. Use the inventory cost model to find the number of items in each production run so that the total costs of production and storage are minimized. items/run
Foggy Optics, Inc. makes laboratory microscopes. Setting up each production run costs $4000. Insurance costs, based on the average number maximum number of microscopes in the warehouse, amount to $15 per microscope per year. Suppose that the company expects to sell 800 microscopes at a fairly uniform rate throughout the year. Determine the number of production runs that will minimize the overall expenses for the company. microscopes in the warehouse, amount to $10 per microscope per year. Storage costs, based on the The number of runs is.
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 7,080 and 8,120. The time requirements and profit per unit for each product are listed below.

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