Concept explainers
a)
To determine: The largest standard deviation that the machine that fills the bar mold can hold.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
b)
To determine: The capability of the process.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
c)
To determine: The lowest setting in ounces for filling machine in terms of six-bar box that will provide capability.
Introduction:
Process capability index is the measure of the capacity of a process which is the measure of ability of the process to produce the required output within specified limits.
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Operations Management
- Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail workarrow_forwardFlextronchip, an OEM manufacturer, has a fifth-generation chip for cell phones, with chip specification of 0.2 ± 0.0002 mm for the distance between two adjacent pins. The loss due to a defective chip has been estimated as $28. Required: 1. Compute the value of k, the cost coefficient in the Taguchi quality loss function (QLF), L(x) = k(x − T)2. 2. Assume that the quality control manager takes a sample of 100 chips from the production process. The results are as follows: Measurement Frequency 0.1996 2 0.1997 6 0.1998 14 0.1999 9 0.2000 45 0.2001 9 0.2002 8 0.2003 5 0.2004 2 a. & b. Use the appropriate Taguchi quality loss function, L(x), to calculate the estimated quality loss for each of the observed measurements. Additionally, calculate the expected (i.e., average) loss per unit for the production process as a whole.arrow_forwardWhich among the following is a variable quality? A. Audits conducted in a period of time B. Machine set-up time C. Number of defective parts D. Customer complaintsarrow_forward
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- Garcia's Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics "get under the hood and fix the problem." The historic average for the proportion of customers that return for the same repair within the 30-day warranty period is 0.08. Each month, Garcia tracks 100 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goal. If the control limits are to be set at two standard deviations on either side of the goal, determine the control limits for this chart. In March, 15 of the 100 customers in the sample group returned for warranty repairs. Is the repair process in control? The UCLp equals____________The LCLp equals_____________ (Enteryour responses rounded to three decimal places.)arrow_forwardA process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?arrow_forwardThe output from a process contains a 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units?a. What is the cost to inspect each unit?b. What is the benefit (or loss) from the inspection process?arrow_forward
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