A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows: Machine A B C Cost $80,000 $70,000 $40,000 Product forecasts and processing times on the machines are as follows: Annual Product Demand 1 25,000 2 22,000 3 4 20,000 9,000 PROCCESSING TIME PER UNIT (minutes) A5335 B 4 1 1 6 Click here for the Excel Data File 92462 C

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Problem 5-11 (Algo)
A manager must decide which type of
machine to buy, A, B, or C. Machine costs (per
individual machine) are as follows:
Machine
A
B
C
Cost
$80,000
$70,000
$40,000
Product forecasts and processing times on
the machines are as follows:
Annual
Product Demand
1
25,000
2 22,000
3
20,000
4
9,000
PROCCESSING TIME PER
UNIT (minutes)
AS335
4
1
6
Click here for the Excel Data File
U2462
C
Transcribed Image Text:Problem 5-11 (Algo) A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows: Machine A B C Cost $80,000 $70,000 $40,000 Product forecasts and processing times on the machines are as follows: Annual Product Demand 1 25,000 2 22,000 3 20,000 4 9,000 PROCCESSING TIME PER UNIT (minutes) AS335 4 1 6 Click here for the Excel Data File U2462 C
a. Assume that only purchasing costs are
being considered. Compute the total
processing time required for each machine
type to meet demand, how many of each
machine type would be needed, and the
resulting total purchasing cost for each
machine type. The machines will operate 10
hours a day, 250 days a year. (Enter total
processing times as whole numbers. Round
up machine quantities to the next higher
whole number. Compute total purchasing
costs using these rounded machine
quantities. Enter the resulting total
purchasing cost as a whole number.)
A
B
C
A
B
C
Total processing
time in minutes
per machine:
219,200
182,467
135,200
Number of each machine needed and
total purchasing cost
80,000 $
70,000 $
40,000 $
270,000
560,000
200,000
Transcribed Image Text:a. Assume that only purchasing costs are being considered. Compute the total processing time required for each machine type to meet demand, how many of each machine type would be needed, and the resulting total purchasing cost for each machine type. The machines will operate 10 hours a day, 250 days a year. (Enter total processing times as whole numbers. Round up machine quantities to the next higher whole number. Compute total purchasing costs using these rounded machine quantities. Enter the resulting total purchasing cost as a whole number.) A B C A B C Total processing time in minutes per machine: 219,200 182,467 135,200 Number of each machine needed and total purchasing cost 80,000 $ 70,000 $ 40,000 $ 270,000 560,000 200,000
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