OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
7th Edition
ISBN: 9780077835439
Author: Roger G Schroeder, M. Johnny Rungtusanatham, Susan Meyer Goldstein
Publisher: McGraw-Hill Education
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Chapter 9, Problem 14P
a)
Summary Introduction
To determine: The standard deviation of the process.
Introduction:
Process capability:
Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.
b)
Summary Introduction
To determine: The process mean value.
c)
Summary Introduction
To explain: The possible actions for the company if it cannot meet the requirements.
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A 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?
Design specifications require that a key dimension on a product measure 105 ± 12 units. A process being considered for producing this product has a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. (Round your answer to 4 decimal places.) b. Suppose the process average shifts to 98. Calculate the new process capability. (Round your answer to 4 decimal places.) c. What is the probability of defective output after the process shift? (Use Excel's NORM.S.DIST() function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.)
Design specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units.
What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications.
Note: Round your answer to 4 decimal places.
Suppose the process average shifts to 92. Calculate the new process capability.
Note: Round your answer to 4 decimal places.
What is the probability of defective output after the process shift?
Note: Use Excel's NORM.S.DIST function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.
Chapter 9 Solutions
OPERATIONS MANAGEMENT IN THE SUPPLY CHAIN: DECISIONS & CASES (Mcgraw-hill Series Operations and Decision Sciences)
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- A certain process is under statistical control and has a mean value of μ = 130 and a standard deviation of σ = 8. The specifications for this process are USL = 150, LSL = 100.a. Calculate Cp and Cpk.b. Which of these indices is a better measure of process capability? Why?c. Assuming a normal distribution, what percent of the output can be expected to fall outside the specifications?arrow_forwardA customer has specified that they require a process capability of Cp= 1.5 for a certain product. Assume that USL = 1100, LSL = 700, and the process is centered within the specification range. a. What standard deviation should the process have? b. What is the process mean value? c. What can the company do if it is not capable of meeting these requirements?arrow_forwardThe Healthy Chocolate Company makes a variety of chocolate candles, including a 12-ounce chocolate bar (340 grams) and a box of six 1-ounce chocolate bars (170 grams). a.Specifications for the 12-ounce bar are 322 grams to 358 grams. What is the largest standard deviation (In grams) that the machine that fills the bar molds can have and still be considered capable if the average fill is 340 grams? (Round your intermediate calculations to 2 decimal places and final answer to 3 decimal places.) Standard deviation b.The machine that filles the bar molds for the 6-ounce bars has a standard deviation of .84 grams. The filling machine is set to deliver an average of 1.04 ounces per bar. Specifications for the six-bar box are 150 to 190 grams per box. Is the process capable? Hint: The variance for the box is equal to six times the bar variance. Convert all calculations Into grams. O Yes O No grams c.What is the lowest setting in ounces for the filling machine that will provide capability in…arrow_forward
- Suppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?arrow_forwardPlease do not give solution in image format thanku Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 9 ounces (255 grams) per box. Each box contains 6 individual 1.5-ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 43.5 grams so that the average net weight per box of 6 packets will be 261 grams. Tolerances are set for the box to weigh 261±15 grams. The standard deviation for the packet-filling process is 1.01 grams. The target process capability ratio is 1.67. One day, the packet-filling process average weight drifts down to 43.0 grams. Is the packaging process capable? Is an adjustment needed? Since the process capability index, Cpk, is (____), the process is (_____) . (Enter your response rounded to three decimal places.) Since the process capability ratio, Cp, is (_____), the problem is that the process is (_____) . (Enter your…arrow_forwardD5 Provide solution in written form. Thank you.arrow_forward
- I need help with part c of the question.arrow_forwardplease provide upper and lower limitarrow_forwardA company that makes handheld computers is trying to improve one of its poorer selling products. They conducted some customer surveys and found that customers prefer the products to weigh between 10 and 14 ounces. At present, the mean of the process is 12 ounces and the standard deviation of the process is .4 ounces. They want to ensure that the production process will meet customer expectations; that is, the process capability (Cp) will be greater than or equal to 1.00. a. What is the Cp of the current production process?arrow_forward
- Consider a process with lower process control limit as 1.338 and upper process control limit as 1.342 . The lower specification limit is 1.335 and the upper specification limit is 1.345. Utilizing the information provided, is the process is capable of meeting design specifications?arrow_forward10arrow_forwardDesign specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units.a. What can you say (quantitatively) regarding the process capability?b. Suppose the process average shifts to 92. Calculate the new process capability.c. What can you say about the process after the shift? Approximately what percentage of the items produced will be defective?arrow_forward
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