Question

Let supply and demand be

QdaP+o Q P where a, B, , 0

Assuming that the rate of change of prices with respect to time is directly proportional to the surplus demand, find the time trajectory P(t), that is, the general solution.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Suoplu demamd d-as Date// dt d-p t dP- 1t8P dt dp dt dp (1-6)= dt So Comparing with d2ax=b dt df dt 1-0 1-8)P dt 1-0 b- o-Y)

Add a comment
Know the answer?
Add Answer to:
Let supply and demand be Assuming that the rate of change of prices with respect to...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (30 points) Consider the market for video streaming described by the following demand and supply ...

    (30 points) Consider the market for video streaming described by the following demand and supply functions, where P and Q represent price and quantity of videos streamed and T is an exogenous variable measuring the impact of technological shocks on video streaming (T> 0 for a positive and T < 0 for a negative technology shock). Assume that α, β, δ, & μ are all positive constants and ф < 0: Use the above demand and supply equations to find...

  • 2. Symbolic analysis of supply and demand: The following demand and supply functions provide a relatively...

    2. Symbolic analysis of supply and demand: The following demand and supply functions provide a relatively general description of a market: Qs = D + eP where P is the price, Y is a variable denoting income, and Qd and Qs are the quantity demanded and the quantity supplied. The constants A, b, c, D, and e have values greater than zero. (a) Identify the parameters, endogenous variables, and exogenous variables in the above system of equations. (b) Derive expressions...

  • 2. Symbolic analysis of supply and demand: The following demand and supply functions provide a relatively...

    2. Symbolic analysis of supply and demand: The following demand and supply functions provide a relatively general description of a market: where P is the price, Y is a variable denoting income, and Qd and Qs are the quantity demanded and the quantity supplied. The constants A, b, c, D, and e have values greater than zero. (a) Identify the parameters, endogenous variables, and exogenous variables in the above system of equations. (b) Derive expressions for the equilibrium market price...

  • 3. Demand and supply for a good are given by the following two equations: Demand: q=...

    3. Demand and supply for a good are given by the following two equations: Demand: q= 200 – p(1+T) Supply: q = 20 + 2p 9 where and p denote the quantity and price, respectively. The parameter 1 represents the tax rate imposed the per unit price. (a) Solve for the equilibrium price and quantity in terms of the parameter T. (b) Find the equilibrium price and quantity when t= 0 and t= 10%.

  • Let the industry demand be D(p) = 100−p, and the industry supply be S(p) = p....

    Let the industry demand be D(p) = 100−p, and the industry supply be S(p) = p. (a) Find the equilibirum quantity and the equilibrium price (b) Draw the demand and supply on a graph. Show on this graph the equilibrium, the consumer surplus and the producer surplus. (c) Find the value of the producer surplus. (d) Find the value of the consumer surplus. Now let the government introduce a value tax of 50% paid by the producers. (e) Find the...

  • The Uruguayan supply and demand for wheat are depicted below. The world price of wheat is...

    The Uruguayan supply and demand for wheat are depicted below. The world price of wheat is $3 per bag, and Uruguay currently has a 100 percent tariff on wheat imports, so that its domestic wheat prices are double world prices. The Uruguayan supply and demand for wheat are depicted below. The world price of wheat is $3 per bag, and Uruguay currently has a 100 percent tariff on wheat imports, so that its domestic wheat prices are double world prices....

  • How to change in total surplus. consumer and producer surplus? Old equilibrium point is Q=5064 P=0.22 the new equilibrium point is Q=3984 P=0.27. Many thanks! supply 1.60 New supply (P) 1.20...

    How to change in total surplus. consumer and producer surplus? Old equilibrium point is Q=5064 P=0.22 the new equilibrium point is Q=3984 P=0.27. Many thanks! supply 1.60 New supply (P) 1.20 1.19 1.08 1.00 0.98 0.89 0.80 ◇ 0.71 8 0.40 .47 0.20 0.00 Quantity, Q (thousands) prices and quantities 在这里输入你要搜索的内安 n Suppl tu (c) From your chart, what can you say about the change in total surplus, consumer surplus, and producer surplus as a result of the supply shock?...

  • 3. (An application to Economics: Demand, Supply and Price) Let Qd, Qs and P be the quantity deman...

    3. (An application to Economics: Demand, Supply and Price) Let Qd, Qs and P be the quantity demanded, quantity supplied and price, respectively, of a certain 1 commodity. We assume that: Qs = c1 + w1P + u1P' + v1P'' Qd = c2 + w2P + u2P'' + v2P'' where the primes denote derivatives with respect to t, time. Now let c = c1 − c2; u = u1 − u2; v = v1 − v2; w = w1 −...

  • 6. Demand, Supply, consumer surplus and Market Equilibrium. The following relations describe monthly demand and supply...

    6. Demand, Supply, consumer surplus and Market Equilibrium. The following relations describe monthly demand and supply conditions in the metropolitan area for recyclable aluminum QD = 317,500 - 10,000P (Demand) Qs = -2,500 + 10,000P (Supply) where Q is quantity measured in pounds of scrap aluminum and P is price in dollars. Complete the following table: A Calculate the market equilibrium price and output? B. What is the inverse demand curve P = f(QD)? C. Compute the consumer surplus at...

  • Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d=...

    Exercise 3.2: Single Unknown 2. Let the demand and supply function be as follows: a) Q_d= 51 – 3P b) Q_d=30-2P Q_s=6P-10 Q_s=-6+5P Find P* and Q* by elimination of variables. (Use fractions rather than decimals) 4. If (b + d) =0 in the linear market model, can an equilibrium solution be found by using (3.4) and (3.5)? Why or why not? 3.4 Answer: P*_1 = 3 6/17 P*_2 - 3 8/17 Q*_1 = 11 7/17 Q*_2 = 8 7/17...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT