Intermediate Microeconomics · 免费预览
利润函数与比较静态
最优化的利润本身就是价格的函数，关于产出价格是凸的；其关于价格的导数是供给，关于工资的导数是条件需求。这一包络逻辑把企业一侧的所有对象联结成一个对偶体系，并由比较静态的符号加以封闭。
1. The profit function
The profit function
2. Envelope derivatives
Envelope derivatives
3. Comparative-statics signs
Comparative-statics signs
4. The module closed and ahead
The module closed and ahead
5. The profit function's shape
How does the profit function behave in the wage?
6. Hotelling's lemma
What exactly does Hotelling's lemma state about the profit function's derivatives?
7. Checking the worked function
For pi equal to p squared over 4w, what is the p-derivative at (10, 2)?
8. No Giffen inputs
Why can a firm's factor demand never slope upward in its own wage?
9. The wage derivative
Compute the derivative of p squared over 4w with respect to w at (10, 2), and write the number.
10. Profit at the worked point
Evaluate p squared over 4w at p of 10 and w of 2, and write the number.
11. Profit at the higher price
The profit function is pi equal to p squared over 4w. What is profit at p of 12 and w of 2?
12. Supply read off the envelope
By Hotelling's lemma, what is the firm's supply at p of 12 and w of 2?
13. A dearer wage's bite
The profit function is pi equal to p squared over 4w. What is profit at p of 10 and w of 4?
14. The factor demand, enveloped
By the lemma's other half, minus the w-derivative of profit gives the factor demand. What is it at (10, 2)?
15. Profit at the lower price
For pi equal to p squared over 4w, compute profit at p of 8 and w of 2, and write the number.
16. Supply at the lower price
Compute the p-derivative of pi, p over 2w, at p of 8 and w of 2, and write the number.