Liu Min, Sun Hong, and Zhao Qiang went to the school infirmary to see a doctor at the same time. It takes 4 minutes for Liu Min to get an injection, 5 minutes for Sun Hong to measure his body temperature, and 3 minutes for Zhao Qiang to dispense the medicine. Dr. Li reasonably arranged the order of treatment for the three of them, so that the sum of their treatment and waiting time was the least. Do you know how Dr. Li arranged it? What is the minimum sum of treatment and waiting time for three people?
刘敏、孙宏、赵强三人同时去校医务室看病．刘敏打针需4分钟，孙宏量体温需5分钟，赵强配药需3分钟．李大夫合理地安排了他们三人的治疗顺序，使他们治疗及等候的时间总和最少．你知道李大夫是怎么安排的吗？三人治疗以及等候的时间总和最少是多少？
<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">5 * 1</gadget>
<output>5</output>

<gadget id="calculator">9 + 8 + 5</gadget>
<output>22</output>

<result>22</result>