As we know, this line here has twice

我们都知道了这条线的斜率
the slope of the original line of the demand curve,

是需求曲线斜率的2倍
so the slope of this thing is -2b.

也就是说它的斜率是-2b
Now, I'm going to claim that

好了我得说明一下
this monopoly quantity I claimed before is going to

我之前说的垄断产量
our intuition says if the other firm isn't producing,

直觉告诉我们如果另一家公司不生产
my best response must be to produce monopoly quantity

我们的最佳对策是垄断产量
which I can see on this picture,

这图像中就能看出来的
and I also claim that the math is telling me,

通过数学计算也是一样的
just a kind of nerdy math is telling me,

虽然我一直认为数学很枯燥乏味
that quantity is a - c over 2b and I claim that they're the same thing.

垄断产量是(a-c)/2b 两种算法都一样
How can I see they're the same thing?

为什么说两种算法结果一样呢