Relevant Costs and Quality Improvement Lightening Bulk Company is a moving companyspecializing in transporting large items worldwide. The firm has an 85% on-time delivery rate.Thirteen percent of the items are misplaced and the remaining 2% are lost in shipping. On average,the firm incurs an additional $65 per item to track down and deliver misplaced items. Lost items costthe firm about $300 per item. Last year, the firm shipped 6,000 items with an average freight bill of$200 per item shipped.The firm’s manager is considering investing in a new scheduling and tracking system costing$125,000 per year. The new system is expected to reduce misplaced items to 1% and lost items to0.5%. Furthermore, the firm expects total sales to increase by 10% with the improved service. Theaverage contribution margin ratio on any increased sales volume, after cost savings associated witha reduction in misplaced and lost items, is expected to be 37.5%.Required1. Based on a relevant cost analysis, should the firm install the new tracking system? That is, what is theestimated change in pretax cash flow under the proposed system? Show calculations and round answerto the nearest whole dollar.2. What other factors does the firm’s manager need to consider in making the decision?3. Upon further investigation, the manager discovered that 80% of the misplaced or lost items either originated in or were delivered to the same country. What is the maximum amount (to the nearest wholedollar) the firm should spend to reduce the cost of problems in that country by 90%?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Relevant Costs and Quality Improvement Lightening Bulk Company is a moving company
specializing in transporting large items worldwide. The firm has an 85% on-time delivery rate.
Thirteen percent of the items are misplaced and the remaining 2% are lost in shipping. On average,
the firm incurs an additional $65 per item to track down and deliver misplaced items. Lost items cost
the firm about $300 per item. Last year, the firm shipped 6,000 items with an average freight bill of
$200 per item shipped.
The firm’s manager is considering investing in a new scheduling and tracking system costing
$125,000 per year. The new system is expected to reduce misplaced items to 1% and lost items to
0.5%. Furthermore, the firm expects total sales to increase by 10% with the improved service. The
average contribution margin ratio on any increased sales volume, after cost savings associated with
a reduction in misplaced and lost items, is expected to be 37.5%.
Required
1. Based on a relevant cost analysis, should the firm install the new tracking system? That is, what is the
estimated change in pretax cash flow under the proposed system? Show calculations and round answer
to the nearest whole dollar.
2. What other factors does the firm’s manager need to consider in making the decision?
3. Upon further investigation, the manager discovered that 80% of the misplaced or lost items either originated in or were delivered to the same country. What is the maximum amount (to the nearest whole
dollar) the firm should spend to reduce the cost of problems in that country by 90%?

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