Borges Machine Shop, Inc., has a 1-year contract for the production of 200,000 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: (GPE) (FMS) (DM) Annual contracted units 200,000 200,000 200,000 Annual fixed cost $ 100,000 $ 200,000 $ 480,000 Per unit variable cost $ 18.00 $ 14.00 $ 13.00 The option GPE is best when the contracted volume is below units (enter your response as a whole number)

GPE is best when the contracted volume is below 25,000 units

Explanation:

Given:

GPE Annual fixed cost = $100,000

FMS Annual fixed cost = $200,000

GPE Per unit variable cost = $ 18.00

FMS Per unit variable cost = $ 14.00

TO GET THE VOLUME

Set the cost of GPE equal to the cost of FMS.

= GPE Annual cost + (GPE per unit cost ×volume) = FMS Annual cost + (FMS per unit cost ×volume)

$100,000 + ($18)v1 = $200,000 + ($14)v1

Solve for v1

$4.00 v1 = $100,000

v1= $100000/$4.00

v1= 25,000

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