# 小结

### Q & A

{% hint style="info" %}
**问:** 检验数含义, 影子价格含义?
{% endhint %}

**答:**

* 检验数含义: 在一个线性规划问题中, 检验数描述了非基变量引入到当前解中对目标函数的影响
* 影子价格含义: 在线性规划中, 影子价格指的是约束右端常数项 (资源) 单位变动对目标函数的边际影响

{% hint style="info" %}
**问:**  $$LP$$ 增加 $$n$$ 个变量, 顶点数量变化?
{% endhint %}

**答:**

* 假设 $$LP$$ 有 $$m$$ 个约束, $$n$$ 个变量 ($$n > m$$), 其顶点数量最大为 $$\tbinom{n}{m}$$
* 增加 $$n'$$ 个变量后, 其顶点数量最大为 $$\tbinom{n + n'}{m}$$


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