Chapter 17 – The Management and Control of Quality
17-69 Relevant Costs and Quality Improvement (50 Minutes)
1. Cost of new equipment and installation $12,000,000
Training 3,000,000
2. Quality cost if no change is made:
Rework (3,000 × 40%) × $2,000/unit = $ 2,400,000
Repair (3,000 × 15%) × $2,500/unit = 1,125,000
Appraisal 600,000
Inspection 3,000 × $50 = 150,000
Foregone contribution from lost sales:
Contribution margin per unit:
($12,000 × 85%) − $2,500 = $7,700
Quality cost of the new process:
Warranty repairs (3,000 0.8) × 5.0% × $1,000/unit = (187,500)
Savings from the new process each year $ 9,862,500
Years effective × 3
Savings over Three-Year Period $29,587,500
Appraisal and inspection cost, Year 1 ($600,000 +
3. Yes. The cost of the new process is $15,000,000 and the expected benefits total
$28,837,500 over three years. The pattern of pre-tax cash flows for this investment
opportunity is as follows:
Year 0 = ($15,000,000)
Year 2 = $9,862,500
Year 3 = $9,862,500
Thus, the payback period for this proposed investment is less than two years. Its
internal rate of return (IRR) is approximately 41%, as shown in the following screen
shot from Excel:
17-66
Education.