A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows:   Machine Cost A $ 60,000 B $ 50,000 C $ 60,000   Product forecasts and processing times on the machines are as follows:         PROCCESSING TIME PER UNIT (minutes) Product Annual Demand   A B C 1 16,000   3 4 4 2 10,000   6 5 1 3 15,000   1 3 6 4 17,000   5 3 4     Click here for the Excel Data File   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, 240 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.)       b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $13 each, B machines have an hourly operating cost of $15 each, and C machines have an hourly operating cost of $10 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 Part a. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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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
A $ 60,000
B $ 50,000
C $ 60,000
 


Product forecasts and processing times on the machines are as follows:
 

      PROCCESSING TIME PER UNIT (minutes)
Product Annual
Demand
  A B C
1 16,000   3 4 4
2 10,000   6 5 1
3 15,000   1 3 6
4 17,000   5 3 4
 

 

Click here for the Excel Data File

 


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, 240 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.)
 

 
 


b. Consider this additional information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $13 each, B machines have an hourly operating cost of $15 each, and C machines have an hourly operating cost of $10 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 Part a. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.)

 
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, 240 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
Buy
Total processing
time in minutes
per machine:
Number of each machine needed and
total purchasing cost
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, 240 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 Buy Total processing time in minutes per machine: Number of each machine needed and total purchasing cost
b. Consider this additional Information: The machines differ in terms of hourly operating costs: The A machines have an hourly
operating cost of $13 each, B machines have an hourly operating cost of $15 each, and C machines have an hourly operating cost of
$10 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 Part a. Do not round any other intermediate
calculations. Round your final answers to the nearest whole number.)
Total cost for each machine
ABU
А
В
C
Buy
Transcribed Image Text:b. Consider this additional Information: The machines differ in terms of hourly operating costs: The A machines have an hourly operating cost of $13 each, B machines have an hourly operating cost of $15 each, and C machines have an hourly operating cost of $10 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 Part a. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.) Total cost for each machine ABU А В C Buy
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