A farmer focusing on the production of eco-friendly chicken eggs collects the following data about his output.
Question:
A farmer focusing on the production of eco-friendly chicken eggs collects the following data about his output. In a sample of 50 eggs, the farmer finds the average egg to weigh 47 grams. The standard deviation of the egg weight is 2 grams and the distribution of weights resembles a normal distribution reasonably closely.
The farmer can sell the eggs to a local distributor. However, they have to be in the interval between 44 grams and 50 grams (i.e., the lower specification limit is 44 grams and the upper specification limit is 50 grams).
a. What is the capability score of the eco-friendly chicken egg operation?
b. What percentage of the produced eggs fall within the specification limits provided by the local distributor?
c. By how much would the farmer have to reduce the standard deviation of the operation if his goal were to obtain a capability score of Cp=2/3 (i.e., get 4.5% defects)?
2. Four Step Process with Rework and Scrap - from module 5 slides
Consider the following four step assembly operation with quality problems. All resources are staffed with one operator.
- The first resource has a processing time of 4 minutes per unit
- The second resource has a processing time of 3 minutes per unit. This process suffers from a high yield loss and 50% of all products have to be scrapped after this step.
- The third resource also suffers from quality problems. However, instead of scrapping the product, the third resource reworks it. The processing time at the third resource is 5 minutes per unit. In the 30% of the products in which the product needs to be reworked, this extends to a total (initial processing time plus rework) processing time of 10 minutes per unit. Rework always leads to a non-defective unit.
- No quality problems exist at the first and final resource. The processing time is 2 minutes per unit.
a For every unit of demand, how many units have to flow through the third step in the process?
b. Where in the process is the bottleneck?
c. What is the process capacity?
Fundamentals of Cost Accounting
ISBN: 978-0077398194
3rd Edition
Authors: William Lanen, Shannon Anderson, Michael Maher