A certain medicine ball consists of a black ball and a white ball. It is known that both workshops produce this kind of fitness balls. Workshop A takes (3/5) time to produce black balls and (2/5) time to produce white balls, and produces 270 sets per month; workshop B spends ( 2/3) time to produce black balls, (1/3) time to produce white balls, 300 sets per month. Now that the two workshops are jointly produced, how many sets of exercise balls can be produced at most per month?
某种健身球由一个黑球和一个白球组成一套．已知两个车间都生产这种健身球，甲车间每月用(3/5)的时间生产黑球，(2/5)的时间生产白球，每月生产270套；乙车间每月用(2/3)的时间生产黑球，(1/3)的时间生产白球，每月生产300套．现在两个车间联合起来生产，每月最多能生产多少套健身球？
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">270 / (3/5)</gadget>
<output>450</output>

<gadget id="calculator">300 / 2</gadget>
<output>150</output>

<gadget id="calculator">450 + 150</gadget>
<output>600</output>

<result>600</result>