Question

In: Economics

Consider a monopoly with inverse demand function  p = 24 -  y and cost function  c( y) = 5...

Consider a monopoly with inverse demand function  p = 24 -  y and cost function  c( y) = 5 y 2 + 4:
i) Find the profit maximizing output and price, and calculate the monopolist's profits.
ii) Now consider the case in which the monopolist has now another plant with the cost structure  c 2( y 2) = 10 y 2. How much will the monopolist produce in each plant, what is the price, and the total profits of the monopoly?
iii) Now suppose there is a technological change in the first plant and it has the following cost function:  c 1 ( y 1) = 2 y 1. How much will the monopolist produce in each plant and what is the price?

To be solved step by step

I have only 20 mins. for this to be answered please help

Solutions

Expert Solution


Related Solutions

The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost...
The inverse demand function a monopoly faces is P = 100 − Q. The firm’s cost curve isTC(Q) = 10 + 5Q.Suppose instead that the industry is perfectly competitive. The industry demand curve and firm cost function is same as given before. (j) (4 points) What is the level of output produced? Compare it to the output of single price monopoly. (k) (4 points) What is the equilibrium price for this industry? Compare it to the price charged of single...
Afirm faces an (inverse) demand function p(y)=10 –y, where p is price,yis quantity.The cost function of...
Afirm faces an (inverse) demand function p(y)=10 –y, where p is price,yis quantity.The cost function of the firm is given by c(y) = y^2+1. Dont copy other guys solution!!! (1) Draw thecurves of(inverse) demand function and marginal revenue. Show your detailed work such as slope, intercept. (2) What is the optimal choice of output and corresponding profitof the firm?Show each of your steps clearly.(Results might not be integers. Do NOTround your answer)
A monopoly has an inverse demand function given by p = 120 - Q and a...
A monopoly has an inverse demand function given by p = 120 - Q and a constant marginal cost of 10. a) Graph the demand, marginal revenue, and marginal cost curves. b) Calculate the deadweight loss and indicate the area of the deadweight loss on the graph. c) If this monopolist were to practice perfect price discrimination, what would be the quantity produced? d) Calculate consumer surplus, producer surplus, and deadweight loss for this monopolist under perfect price discrimination.
Monopoly with linear inverse demand. Consider a monopolist facing a linear inverse demand curve p(q)= a-...
Monopoly with linear inverse demand. Consider a monopolist facing a linear inverse demand curve p(q)= a- bq, and cost function C(q)= F + cq, where F denotes its fixed costs and c represents the monopolist's (constant) magical cost a>c 1. Graph demand, marginal revenue and marginal cost. Label your graph carefully, including intercepts 2. Solve the profit maximizing output q^m. To do this, first write down the expression for MR=MC and solve for the optimal quantity. Next find the price...
4. Assume a monopoly faces an inverse demand function of p = 150 - 3Q, and...
4. Assume a monopoly faces an inverse demand function of p = 150 - 3Q, and has a constant marginal and average cost of 30. a. If the monopolist can perfectly discriminate, what is its profit, consumer surplus and total surplus, and what is the deadweight loss of monopoly? b. If the firm is a single-price monopolist, what is its profit, consumer surplus and total surplus, and what is the deadweight loss of monopoly?
Consider a monopoly facing inverse demand function ?(?) = 12 − ?, where ? = ?1...
Consider a monopoly facing inverse demand function ?(?) = 12 − ?, where ? = ?1 + ?2 denotes the monopolist’s production across two plants, 1 and 2. Assume that total cost in plant 1 is given by ??1 (?1 ) = (5 + 4?1)?1, while that of plant 2 is ??2 (?2 ) = [5 + (4 + ?)?2]?2, where parameter ? ≥ 0 represents plant 2’s inefficiency to plant 1. When ? = 0, the total (and marginal)...
Consider an industry in the U.S. facing aggregate (inverse) demand function: p(y) = 1050 – 5y...
Consider an industry in the U.S. facing aggregate (inverse) demand function: p(y) = 1050 – 5y The industry is currently in long run equilibrium. The market price is $225 and there are n = 11 firms producing. Each firm’s variable cost is: cv(y) = 1/3 y3 What is each firm’s fixed cost?
Consider a market for a homogenous good (Hobbit beer) with the following inverse demand function: p(y)...
Consider a market for a homogenous good (Hobbit beer) with the following inverse demand function: p(y) = 22 − 2y where y is total sold quantity of the beer in litres on the market and p(y) is the price it sells for. There is only one firm serving the market, Samwise beer inc. The firm’s cost function is c(y) = 4y. a) What quantity of beer will be sold on the market? What will be the market price? Suddenly, a...
The inverse demand function for good X is P = 5−0.05Q. The firm’s cost curve is...
The inverse demand function for good X is P = 5−0.05Q. The firm’s cost curve is TC(Q) = 10 + Q Suppose that, instead of the single-pricing, the monopolist can employ two-part pricing. (1.18) (2 points) What is the profit maximizing level of output? (1.19) (2 points) What is the fixed fee charged at the profit maximizing level of output? (1.20) (2 points) What is the price charged at the profit maximizing level of output
the inverse demand function for good X is P = 5−0.05Q. The firm’s cost curve is...
the inverse demand function for good X is P = 5−0.05Q. The firm’s cost curve is TC(Q) = 10+Q If the monopoly could engage in perfect price discrimination, (1.26) (2 points) What are the total variable costs at the profit maximizing level of output? (1.27) (2 points) What is the value of consumer surplus at the profit maximizing level of output? (1.28) (2 points) What is the value of producer surplus at the profit maximizing level of output?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT