Question

In: Economics

Assume that: market demand function for a product is: P = 80 − q and marginal...

Assume that: market demand function for a product is: P = 80 − q and marginal cost (in dollars) of producing it is: MC = 1q, where P is the price of the product and q is the quantity demanded and/or supplied. Also assume that the government imposes a price control at P = $80/3

a) Find the consumer and producer surplus associated with the price control allocation.

b) How would the price control allocation in (a) differ from the monopoly allocation, if you assume that the market is controlled by a monopoly. Hint: Compute consumer and producer surplus in each case.

Solutions

Expert Solution


Related Solutions

Question 1 Assume that: market demand function for a product is: P= 80−q and marginal cost...
Question 1 Assume that: market demand function for a product is: P= 80−q and marginal cost (in dollars) of producing it is: MC= 1q, where P is the price of the product and q is the quantity demanded and/or supplied. Also assume that the government imposes a price control at P= $80/3 a) Find the consumer and producer surplus associated with the price control allocation. b) How would the price control allocation in (a) differ from the monopoly allocation, if...
For a Monopolist, the inverse demand function is P=80 – Q (Or, the Demand function is...
For a Monopolist, the inverse demand function is P=80 – Q (Or, the Demand function is Q = 80 – P, if you prefer). The firm’s total cost function is 20 + 5Q + .5Q2. Identify profit maximizing quantity and price   Q = _____, P = _____ Graph the relevant curves in the area provided (Hint: If you have difficulty drawing the graph, try plotting a couple of points along the curve) Identify CS and PS in the graph Calculate...
A monopolist has the following demand function and marginal cost function P = 120 – Q...
A monopolist has the following demand function and marginal cost function P = 120 – Q and MC = 30 + Q. i. Derive the monopolist’s marginal revenue function. ii. Calculate the output the monopolist should produce to maximize its profit. ii. (continuation) iii. What price does the monopolist charge to maximize its profit? Now assume that the monopolist above split into two large firms (Firm A and Firm B) with the same marginal cost as the monopolist. Let qA...
Assume that domestic demand function for oil is Q=200-P and the domestic supply function is Q=-20+P....
Assume that domestic demand function for oil is Q=200-P and the domestic supply function is Q=-20+P. Calculate the perfectly competitive equilibrium quantity and price. Calculate the consumer surpluss and the producer surpluss at perfect competition. The country opens up for trade and the world price for oil is only $50. How much oil will be imported? Calculate the consumer and producer surpluss and deadweight loss/gain (compared to no trade) under free trade. Assume that the government imposes $10 per unit...
Assume that domestic demand function for oil is Q=200-P and the domestic supply function is Q=-20+P....
Assume that domestic demand function for oil is Q=200-P and the domestic supply function is Q=-20+P. Calculate the perfectly competitive equilibrium quantity and price. Calculate the consumer surpluss and the producer surpluss at perfect competition. The country opens up for trade and the world price for oil is only $50. How much oil will be imported? Calculate the consumer and producer surpluss and deadweight loss/gain (compared to no trade) under free trade. Assume that the government imposes $10 per unit...
The market demand is given as; P = 100 – Q Marginal cost of production is...
The market demand is given as; P = 100 – Q Marginal cost of production is given as; MC = 10 Calculate the level at which market decides to produce and market price    Total Revenue ( TR) and Total Cost (TC) Economic Profit (π) Identify the market structure; either perfect competition or monopoly?
Suppose that the market demand is: P = 10 – Q, so that marginal revenue is:...
Suppose that the market demand is: P = 10 – Q, so that marginal revenue is: MR = 10 – 2Q. The marginal cost is: MC = 4 and average cost is: AC = 4. a. If the market structure is monopoly, determine the profit maximizing price and output for this monopolist and calculate its economic profit or loss at the profit maximizing output. b. If the market structure is perfect competition, determine the profit maximizing price and total output...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There...
The market (inverse) demand function for a homogenous good is P(Q) = 10 – Q. There are three firms: firm 1 and 2 each have a total cost of Ci(qi) = 4qi for i ∈ {1.2}. and firm 3 has a total cost of C3(q3) = 2q3. The three firms compete by setting their quantities of production, and the price of the good is determined by a market demand function given the total quantity. Calculate the Nash equilibrium in this...
10-The demand function for a product is given by p=80-0.5Q and the supply function is p=50+0.25Q,...
10-The demand function for a product is given by p=80-0.5Q and the supply function is p=50+0.25Q, where p is the price and Q is the quantity. Suppose that the government impose a tax of $15 on every unit sold. Find equilibrium price and quantity before imposing the tax. Find price of buyer and seller and the quantity sold in the market after tax. Find the tax burden on buyer and seller. Find government revenue and deadweight loss (DWL) and the...
A monopolist has marginal costs MC = Q and home market demand P = 40 –Q...
A monopolist has marginal costs MC = Q and home market demand P = 40 –Q (that is the MR = 40 –2Q). The monopolist can also sell to a foreign market at a constant price P = 16. Find and graph the quantity produced, quantity sold in the home market, quantity sold in the foreign market, and price charged in the home market.Explain why the monopolist’s profits wouldfall if it were to produce the same quantity but sell more...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT