A bicycle manufacturer planned to produce a batch of bicycles last year. As a result, it completed 54% of the annual plan in the first half of the year, and 56% of the annual plan in the second half of the year. A total of 500 bicycles were overfulfilled. How many bicycles does this factory plan to produce last year?
某自行车制造厂去年计划生产一批自行车，结果上半年完成全年计划的54%，下半年完成全年计划的56%，一共超额完成了500辆．这个厂去年计划生产自行车多少辆？
<gadget id="calculator">54 / 100</gadget>
<output>27/50 = around 0.54</output>

<gadget id="calculator">56 / 100</gadget>
<output>14/25 = around 0.56</output>

<gadget id="calculator">(14/25) - 1</gadget>
<output>-11/25 = around -0.44</output>

<gadget id="calculator">(27/50) + (-11/25)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">500 / (1/10)</gadget>
<output>5_000</output>

<result>5_000</result>