Answer:
Pack-and-Go
1. From a financial perspective, Pack-and-Go should invest in the new technology. It will enjoy a contribution margin of 97.5%.
2. The break-even increase in annual revenue that would justify the investment in the new technology is:
Fixed cost = Contribution
$80,000 = Contribution - $8,000
= $72,000 ($80,000 - $8,000
Explanation:
a) Data and Calculations:
Expected cost of new technology investment = $80,000
Delivery performance:
Decision Alternative
After Implementing
Item Current System New Technology
On-time delivery rate 80% 95%
Variable cost per package lost
or damaged $30 $30
Allocated fixed cost per
package lost or damaged $10 $10
Annual number of packages
lost or damaged 300 100
Variable cost for lost or
damaged packages $9,000 (300*$30) $3,000 (100*$30)
Fixed cost for lost or
damaged packages 3,000 (300*$10) $1,000 (100*$10)
Total cost for lost or
damaged packages $12,000 $4,000
Increase in the on-time performance rate = 95% - 80% = 15%
Increase in annual Revenue = $10,000 * 15 = $150,000
Savings from lost or damaged packages = 8,000 ($12,000 - $4,000)
Total savings from new technology = $158,000
Annual cost of new technology = (80,000)
Net savings from new technology = $78,000
Contribution margin based on net savings = $78,000/$80,000 * 100 = 97.5%
Average contribution margin = 40%
