Help figuring problem

[Duratrac85]

Can someone tell me how to figure this. Machine cut speed is 41 inches per minute. Cutting cost is 120.00 per hour. How much does it cost per cut inch? Please tell me how to figure this, I have quite a few different cut speeds to figure. Thanks

 

[soroban]

Hello, Duratrac85!

Machine cut speed is 41 inches per minute.
Cutting cost is $120.00 per hour.
How much does it cost per cut inch?

Cutting cost: .\(\displaystyle \dfrac{\text{120 dollars}}{\text{1 hour}} \;=\;\dfrac{\text{120 dollars}}{\text{60 minutes}} \:=\;\dfrac{\text{2 dollars}}{\text{1 minute}} \;=\; 2 \text{ dollars/min}\)

Cut speed: .\(\displaystyle 41\text{ in/min}\)

Cost per inch: .\(\displaystyle \dfrac{2\text{ dollars/min}}{41\text{ in/min}} \;=\;\dfrac{2}{41}\text{ dollars/in} \;\approx\;4.9\text{ cents/inch}\)