A company uses 2 machines to fill an order for 3,360 bottle caps. Machine $A$ can produce 72 bottle caps every 24 minu

A company uses 2 machines to fill an order for 3,360 bottle caps. Machine $A$ can produce 72 bottle caps every 24 minutes, and it can run for 4 hours before it must undergo a 3-hour recalibration procedure. Machine $B$ can produce 48 bottle caps every 12 minutes, and it can run for 4 hours before it must undergo a 2-hour recalibration procedure. If both machines begin working at the same time and are working whenever they are not being recalibrated, then how many of the 3,360 bottle caps are made by machine $B?$

a. 1,440

b. 1,620

c. 1,680

d. 1,920

e. 2,160

[spoiler]OA=D[/spoiler]

Source: Princeton Review

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