The Internet Economy

 

Econ.407

Review Questions

Given the following demand and supply functions:

Qd= 50- 5log p where Qd >= 0

Qs= 20 log p –25 where Qs >= 0

Find quantity demanded and supplied at a price of $30

 

Find equilibrium price and quantity.

Given the following demand and supply functions:

Qd = 80- 10 log p where Qd >= 0

Qs = 30 log p – 40 where Qs > 0

Find quantity demanded and supplied at a price of $111.

Find equilibrium price and quantity.

Qs = 2p^2-p+4. Find marginal supply ( rate of change of Qs with respect to p) and elasticity of supply

Qd = 50-4p-p^2. Find marginal demand and elasticity of demand.

 

Qs = p^2-4p. Find marginal supply and elasticity of supply at p=5

-Find Marginal Revenue for each of the following functions at the specified points.

Qd = 40 - 0.5p at q=30

 

Qd = 60 -3p at q= 6

Qd = 100 – p^2/3 at q = 96

-Find the second derivative of each of the following functions.

Qs = 2p^2-4p +3

Qd = 100- 3p^3 +4p

-Find direction of concavity and points of inflection for each of the following:

Y = 2x^3- 9x^2- 60x +7

Y = 2x^3- 27x^2+ 48x+ 5

-Find maximum and minimum points, directions of concavity, and points of inflection for the following functions:

TR = 18q^2 – 4q^3, where q>= 0.

TR = -q^3+ 48q^2 – 180q, where 0<=q<=50

 

TR = -q^4+ 20q^3- 100q^2, where 3<=q<=15

16) We want to maximize the function

u=2q1 + q2 + 2q1q2

subject to the condition 100 = 2q1 + q2