Borges Machine$$ Shop, Inc., has a$1-$year contract for the production of

$250$ comma $000250,000$

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

$250$ comma $000250,000$

$250$ comma $000250,000$

$250$ comma $000250,000$

Annual fixed cost

$ $150$ comma $000$$$150,000$

$ $225$ comma $000$$$225,000$

$ $480$ comma $000$$$480,000$

Per unit variable cost

$ $16\mathrm{.}00$$$16\mathrm{.}00$

$ $14\mathrm{.}00$$$14\mathrm{.}00$

$ $13\mathrm{.}00$$$13\mathrm{.}00$

Part $2$

The option GPE is best when the contracted volume is below

$3750037500$

units $($enter your response as a whole$$ number$).$

Part $3$

The option FMS is best when the contracted volume is between

$37,50037,500$

and

$255,000255,000$

units $($enter your responses as whole$$ numbers$).$

Part $4$

The option DM is best when the contracted volume is over

$125000125000$

units $($enter your response as a whole$$ number$).$

The option GPE is best when the contracted volume is below

units $($enter your response as a whole number$).$