Answer:
Mid-Town Copy Service
a. The total costs of collating 500,000 and 1,500,000 per month are:
500,000 1,500,000
1. With student help $800 $2,400
2. With the collating machine $1,575 $1,625
b. The monthly volume at which automatic process becomes preferable to the manual process is:
= 1,050,000 photocopies.
Explanation:
a) Data and Calculations:
Monthly photocopies processed per month = 2,100,000
Photocopies requiring collation = 1,050,000 (50% * 2,100,000)
Cost of collating per hour = $8
Average number of copies collated by a student per hour = 5,000
Total cost of manual collating copies = $8 * 1,050,000/5,000 = $1,680
Lease cost of automatic collating machine = $1,550 + $0.05 per 1,000 units collated
The total costs of collating 500,000 and 1,500,000 per month:
500,000 1,500,000
1. With student help $800 $2,400
($8 * 500,000/5,000) ($8 * 1,500,000/5,000)
2. With the collating machine $1,575 $1,625
($1,550 + $0.05* 500,000/1,000) ($1,550 + $0.05* 1,500,000/1,000)
b. The monthly volume at which automatic process becomes preferable to the manual process is 1,050,000.
At this volume, costs are:
Manual Process = $1,680 ($8 * 1,050,000/5,000)
Automatic Process = $1,603 ($1,550 + $0.05* 1,050,000/1,000)
