PROBLEMS
12-1. Q: The Ajax Corporation is proud of its quality control program. It employs two quality
engineers at an average $35,000 salary for quality planning and engineering, test method
development, and quality training. Every item is 100% inspected using six inspectors earning
an average of $20,000 a year. Nevertheless, in a typical year about 100 items averaging $200
in value must be scrapped, and another 200 require rework costing an average $75. Customer
service costs estimated at $11,000 annually are generated by still more defects that slip
through. Analyze the firm’s quality cost situation and make recommendations
A: The quality cost data should first be divided into the four ASAC categories:
12-2. Q: Tomatoes are packaged in a can designed to hold a nominal 28 ounces of product. Five
cans sampled randomly were found to contain 28.3, 27.3, 29.1, 28.5, and 27.8 ounces of
product. Calculate the mean value and range of sample data, and (b) calculate the variance
and standard deviation of the sample.
A: (a) As shown in the table below, the mean is Σx/n = 141.0/n = 28.2, and the range is (29.1
12-3. Q: An ‘x-bar’ control chart is developed for recording the mean value of a quality
characteristic using a sample size of three. The control chart has control limits (LCL and
UCL) of 1.000 and 1.020 pounds respectively. If a new sample of three items has weights of
1.023, 0.999, and 1.025, what can we say about the lot (batch) it came from?