Two garment factories, A and B, produce the same garment. Factory A produces 2,700 sets of garments per month, and the time ratio for producing tops and trousers is 2:1; Factory B produces 3,600 sets of garments per month, and the time ratio for producing tops and trousers is 3: 2. If the two factories cooperate for one month, how many sets of clothing can be produced at most.
甲乙两个服装厂生产同一种服装，甲厂每月生产服装2700套，生产上衣和裤子的时间比是2：1；乙厂每月生产服装3600套，生产上衣和裤子的时间比是3：2．若两个厂合作一个月，最多可生产服装多少套．
<gadget id="calculator">2 + 3</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">3_600 / (3/5)</gadget>
<output>6_000</output>

<gadget id="calculator">20 / 27</gadget>
<output>20/27 = around 0.740741</output>

<gadget id="calculator">1 - (20/27)</gadget>
<output>7/27 = around 0.259259</output>

<gadget id="calculator">2_700 * (7/27)</gadget>
<output>700</output>

<gadget id="calculator">6_000 + 700</gadget>
<output>6_700</output>

<result>6_700</result>