A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows: Machine Cost $40,000 $30,000 $ae, e00 Product forecasts and processing times on the machines are as follows: PROCCESSING TIME PER UNIT (minutes) Annual Product Demand 10,000 11,000 9,000 13,000 1 2 5 4 4 4 3 e. 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 8 hours a day, 230 days a year. (Enter total processing times as whole numbers. Round up machine quantities to the next higher whole number. Compute total purchesing costs using these rounded machine quantities. Enter the resulting total purchesing cost as a whole number.) Total processing time in minutes per machine A

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows:
Machine
Cost
$40,000
$30,000
$88,000
Product forecasts and processing times on the machines are as follows:
PROCCESSING TIME PER
UNIT (minutes)
Annual
Product Demand
A
B
10,000
11,000
9,000
13,000
3
1
5
5
4
3
5
2
4
4
0. 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 8 hours a day, 230 days a year. (Enter total processing times as whole numbers. Round up machine quantities
to the next higher whole number. Compute total purchesing costs using these rounded mechine quantities. Enter the resulting
total purchasing cost as a whole number.)
Total processing
time in minutes
per machine
A
B
Transcribed Image Text:A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows: Machine Cost $40,000 $30,000 $88,000 Product forecasts and processing times on the machines are as follows: PROCCESSING TIME PER UNIT (minutes) Annual Product Demand A B 10,000 11,000 9,000 13,000 3 1 5 5 4 3 5 2 4 4 0. 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 8 hours a day, 230 days a year. (Enter total processing times as whole numbers. Round up machine quantities to the next higher whole number. Compute total purchesing costs using these rounded mechine quantities. Enter the resulting total purchasing cost as a whole number.) Total processing time in minutes per machine A B
Number of each machine needed and
total purchasing cost
A
Buy
2 of the B machines.
2 of the C machines.
2 of the A machines.
b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly
operating cost of $10 each, B machines have an hourly operating cost of $14 each, and C machines have an hourly operating cost of
$11 each. What would be the total cost associated with each machine option, including both the initial purchasing cost and the annual
operating cost incurred to satisfy demand?(Use rounded machine quantities from Pert a. Do not round any other intermediate
calculations. Round your final answers to the nearest whole number.)
| Total cost for each machine
A
B
Buy
B
A
B.
Transcribed Image Text:Number of each machine needed and total purchasing cost A Buy 2 of the B machines. 2 of the C machines. 2 of the A machines. b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $10 each, B machines have an hourly operating cost of $14 each, and C machines have an hourly operating cost of $11 each. What would be the total cost associated with each machine option, including both the initial purchasing cost and the annual operating cost incurred to satisfy demand?(Use rounded machine quantities from Pert a. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.) | Total cost for each machine A B Buy B A B.
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Cengage,