Final answer:
To obtain the required percentages of the quality costs, each category should be divided by the total production cost and the total quality cost for both years. The resultant fractions should then be multiplied by 100 to express them as percentages.
Step-by-step explanation:
The student's question involves an analysis of quality cost reports in the context of a business environment. To provide the requested percentages of both total production cost and total quality cost, we must first calculate the total production cost and total quality cost for both years. We then divide each of the cost categories (Prevention costs, Appraisal costs, Internal failure costs, and External failure costs) by the total production cost and the total quality cost, respectively, and multiply by 100 to get the percentages.
For instance, if the company's total quality cost last year was $698 thousand and the total production cost was $4,400 thousand, the Prevention cost percentage of total production cost would be calculated as (74/4400) x 100 and percentage of total quality cost would be (74/698) x 100.
Similarly, for this year with a total quality cost of $622 thousand and a total production cost of $5,000 thousand, the Prevention cost percentage of total production cost would be (158/5000) x 100 and the percentage of total quality cost would be (158/622) x 100. These calculations will be carried out for each cost category for both years.