Question

In: Economics

given the demand function, Q=20-2p, find the price range for which a) demand is elastic b)...

given the demand function, Q=20-2p, find the price range for which
a) demand is elastic
b) demand is inelastic
c) demand is unit elastic
d) if the firm increases the price to £7, is the total revenue increasing or reducing?

Solutions

Expert Solution

The demand is elastic in the range from P=0 to P=5, and above P=5 the demand is inelastic. In the inelastic range the increase in price will result in increasing total revenues and in the elastic range a price fall will lead to increase in revenues.


Related Solutions

A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q)...
A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q) =0.5Q. Solve for the monopolist’s profit-maximizing price and output and calculate its profit as well as the consumer surplus and deadweight loss.
Given the Demand function, Q = 360 – 2P. First, interpret the constants in the function....
Given the Demand function, Q = 360 – 2P. First, interpret the constants in the function. Derive the elasticity when the price is US$ 50 and interpret the result. Next, derive the Inverse Demand Function and interpret the constants in the function. Take the 1st and 2nd derivative of the Inverse Demand function and interpret your results.
The demand for ice cream is given by Q D = 20 – 2P, measured in...
The demand for ice cream is given by Q D = 20 – 2P, measured in gallons of ice cream. The supply of ice cream is given by Q S = 4P – 10. Suppose that the government legislates a $1 tax on a gallon of ice cream, to be collected from the seller. a) As a result of the tax, what is the price paid by buyers? b) What is the price received by sellers? Hint: You need to...
2. Given a firm's demand function Q-90+2P=0 and its average cost function AC= Q2-39.5Q+120+(125/Q) find the...
2. Given a firm's demand function Q-90+2P=0 and its average cost function AC= Q2-39.5Q+120+(125/Q) find the level of output (Q) which a) Maximizes Total Revenue b) Minimizes Marginal Cost c) Maximizes Profits. 3. A monopolistic firm has the following demand functions for each of its products X and Y: X=72-0.5Px Y=120-Py The combined cost function is C=X2+XY+Y+35. The maximum production capacity is 40 and given by X+Y=40. Find the profit maximizing levels of output, prices and profit.
Let the demand function be Q(d) = 200 – 2P(X). What is the own price elasticity...
Let the demand function be Q(d) = 200 – 2P(X). What is the own price elasticity of demand when P = 10? What is own price elasticity of demand when P = 80? Assume the firm is operating at P = 40 and is thinking about lowering price by 1%. Would you recommend such a price decrease? Provide evidence for your conclusion Briefly discuss why the demand curve slops downward and why, as you travel along the demand curve, you...
Suppose the demand for a particular textbook, as a function of price, is given by Q...
Suppose the demand for a particular textbook, as a function of price, is given by Q Demanded (P)=60-P, and supply as a function of price is Q Supplied (P)=P. (a) What is the equilibrium price and quantity in this market? (b) Sketch the supply and demand curves on the same graph. (c) If the price were fixed at P=10 is there a excess supply or excess demand of textbooks, and by how much? (d) In equilibrium, what is the producer...
2) A consumer’s demand function is Q = 60 – 2P. a) Determine the inverse demand...
2) A consumer’s demand function is Q = 60 – 2P. a) Determine the inverse demand function. b) Determine the inverse demand function’s vertical intercept. c) Determine the inverse demand function’s horizontal intercept. d) Determine the inverse demand function’s slope. e) Determine the consumer’s marginal benefit for the 20th unit demanded. f) Determine the consumer’s total benefit from purchasing 60 units. g) Determine the market demand function if there are 10 consumers with the demand function Q = 60 –...
Given the Demand Function Q = 40,000 – 5P. a) Determine the MR function. b) At...
Given the Demand Function Q = 40,000 – 5P. a) Determine the MR function. b) At what level of output is TR maximized?
Ally's demand function for ice cream cones is q=5-p, and Ben demand function is q=6-2p. Assume...
Ally's demand function for ice cream cones is q=5-p, and Ben demand function is q=6-2p. Assume Ally and Ben are the only consumers in the market. a) what is the aggregate demand of both ally and ben b)suppose the market is perfectly competitive and the supply function is q=.5p-1. what is the equilibrium price and quantity? c) suppose it is a monopoly market instead and the marginal cost of the monopolist is 2q+2. what is the optimal price the monopolist...
[Income and Cross Price Elasticity of Demand] (a) Given Q = 700?2P+0.02Y, where P = 25,...
[Income and Cross Price Elasticity of Demand] (a) Given Q = 700?2P+0.02Y, where P = 25, and Y = 5000. Find (a) the price elasticity of demand and (b) the income elasticity of demand. (b) Given Q1 = 100?P1 +0.75P2 ?0.25P3 +0.0075Y. At P1 = 10, P2 = 20,P3 = 40 and Y = 10000, Q1 = 170. The cross price elasticity of demand for good 1 when price of good 2 is changing is given by ?12 = ?Q1...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT