Part 2 The option GPE is best when the contracted volume is below 3610000   3610000 units ​(enter your response as a whole​ number). Part 3 The option FMS is best when the contracted volume is between 3375000   3375000 and 3610000   3610000 units ​(enter your responses as whole​ numbers). Part 4 The option DM is best when the contracted volume is over 3405000   3405000 units ​(enter your response as a whole​ number).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
Borges Machine​ Shop, Inc., has a​ 1-year contract for the production of
225,000
gear housings for a new​ off-road vehicle. Owner Luis Borges hopes the contract will be extended and the volume increased next year. Borges has developed costs for three alternatives. They are​ general-purpose equipment​ (GPE), flexible manufacturing system​ (FMS), and​ expensive, but​ efficient, dedicated machine​ (DM). The cost data​ follow:
                                                                                                                                            
 
​General-Purpose Equipment​ (GPE)
Flexible Manufacturing System​ (FMS)
Dedicated Machine​ (DM)
Annual contracted units
225,000         
225,000              
225,000      
Annual fixed cost
$100,000         
$225,000              
$480,000      
Per unit variable cost
$16.00         
$14.00              
$13.00      
Part 2
The option GPE is best when the contracted volume is below
3610000
 
3610000
units ​(enter your response as a whole​ number).
Part 3
The option FMS is best when the contracted volume is between
3375000
 
3375000
and
3610000
 
3610000
units ​(enter your responses as whole​ numbers).
Part 4
The option DM is best when the contracted volume is over
3405000
 
3405000
units ​(enter your response as a whole​ number). 
Expert Solution
Step 1

To calculate the total cost for each of the options we would have to use the following formula:

 

Total Cost (TC) = Fixed Cost (FC) + [Variable Cost (VC) x Annual Contract Units (ACU)]

 

For GPE: TC  = $100,000 + ($16.00 x 225,000)= $37,00,000

 

For FMS:TC  = $225,000 + ($14.00 x 225,000)= $3,37,000

 

For DM:TC = $480,000 + ($13.00 x 225,000)= $3,40,000

 

 

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