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Safe Travel produces car seats for children from newborn to 2 years old. The company is worried because one of its competitors has recently come under public scrutiny because of product failure. Historically, Safe Travelâs only problem with its car seats was stitching in the straps. The problem can usually be detected and repaired during an internal inspection. The cost of the inspection is $6 per seat and the repair cost is $1.25 per seat. All 175,000 car seats were inspected last year and 5% were found to have problems with stitching in the straps during the internal inspection. Another 1% of the 175,000 car seats had problems with the stitching, but the internal inspection did not discover them. Defective units that were sold and shipped to customers needed to be shipped back to Sage Travel and repaired. Shipping costs are $9 per car seat and repair costs are $1.25 per car seat. However, the out of pocket costs (shipping and repair) are not the only costs of defects not discovered in the internal inspection. Negative publicity will result in a loss of contribution margin of $168 for each external failure.
Required:
Safe Travel is concerned with the high upfront cost of inspecting all 175,000 units. It is considering an alternative inspection plan that will cost only $3.50 per car seat inspected. During the internal inspection, this alternative technique will detect only 2.5% of the 175,000 car seats that have stitching problems. The other 3.5% will be detected after the car seats are sold and shipped. What are the total costs of quality for the alternative technique?
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