Respuesta :
Answer:
a. The costs can be classified as follows:
Prevention: Quality training
Appraisal: Product inspection and Material inspection
Internal Failure: Scrap and rework
External Failure: Product Warranty
b-1. We have:
Total quality cost as a percentage of sales for Year 1 = 1.60%
Total quality cost as a percentage of sales for Year 2 = 1.65%
b-2. Profit has increased by $295,000 because of quality improvements between Year 1 and Year 2.
Explanation:
a. Classify the costs as prevention, appraisal, internal failure, and external failure.
The costs can be classified as follows:
Prevention: Quality training
Appraisal: Product inspection and Material inspection
Internal Failure: Scrap and rework
External Failure: Product Warranty
b-1. Compute total quality cost as a percentage of sales for each of the two years.
Total quality cost as a percentage of sales = ((Product inspection + Material inspection) / Sales) * 100 ………………. (1)
Using equation (1), we have:
Total quality cost as a percentage of sales for Year 1 = (($100,000 + $60,000) / 10,000,000) * 100 = 1.60%
Total quality cost as a percentage of sales for Year 2 = (($125,000 + $40,000) / 10,000,000) * 100 = 1.65%
b-2. By how much has profit increased because of quality improvements between Year 1 and Year 2?
To calculate the profit associated to quality, only costs associated to quality are deducted from Sales as follows:
Profit associated to quality = Sales - Scrap - Rework - Product inspection - Materials inspection ……… (1)
Using equation (1), we have:
Profit associated to quality for Year 1 = $10,000,000 - $400,000 - $600,000 - $100,000 - $60,000 = $8,840,000
Profit associated to quality for Year 2 = $10,000,000 - $300,000 - $400,000 - $125,000 - $40,000 = $9,135,000
Therefore, we have:
Increase in profit because of quality improvements = Profit associated to quality for Year 2 - Profit associated to quality for Year 1 = $9,135,000 - $8,840,000 = $295,000
Therefore, profit has increased by $295,000 because of quality improvements between Year 1 and Year 2.