Your pharmaceutical company has developed a therapy that can cure peanut allergies. The inverse demand function for this therapy is given as:
P = $150,000 – 62.5Qd, where Qd is the annual quantity demanded.
While development costs were substantial, your marginal costs for a full treatment are ‘just’ $800 per treatment.
(Guidance: The marginal revenue (MR) function has the same y-axis intercept as the inverse demand function, but twice the slope. Set MR equal to MC and solve for Q.)
Your pharmaceutical company has developed a therapy that can cure peanut allergies. The inverse demand function...
Inverse demand function is given as P=$100,000 - 52.5Qd, where Qd is the annual quantity demanded. development costs were substantial and marginal costs for a treatment are "just" $750 per treatment. a) if you set a single price to maximize profits, what quantity will you supply annually? (hint: the marginal revenue function has the same y-axis intercept as the inverse demand function, but twice the slope. set MR=MC and solve for Q) b) what is the price for treatment (hint:...
Problem 3: A market with a monopoly producer has inverse demand P = 120 - 2Q (which gives marginal revenue MR = 120 - 4Q). The monopolist has marginal costs are MCQ) = 4Q and no fixed costs. a) What is the monopolist's producer surplus when it charges the profit maximizing uniform price. b) What is the deadweight loss due to monopoly in this market? c) What would the monopolist's producer surplus be if it could engage in first degree...
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4. Benson's Park is a monopolist in the local camping market in the town of West Anderson. They face an inverse demand curve given by P-400-8Q, where Q is the number of tickets they sell. The park's cost function is C(Q)-100+160 Write down Benson's profit function (2 point) Find the first-order condition for profit maximization. (2 points) Find the profit-maximizing price and quantity, and the maximum profit. (3 points) a. b. c. d. Calculate...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...
In a market, the inverse demand is P = 60 - Q. A monopoly company operating in this market has the cost function C = 200. (a) What is the marginal cost of the company? What are the fixed costs? (b) Illustrate demand, marginal cost, and marginal revenue in a figure. (c) What is the profit-maximizing quantity? Explain why. What is the price thus? Illustrate in the figure. (d) Now suppose that the cost function is instead C=F+Q', which means...
Suppose that a price setting firm has the following direct demand function: Qd = 100-20P a. Find the inverse demand curve. What is it’s slope and it’s intercept. b. Find the equation for Total Revenue where TR is a function of Q. c. Find the equation for Marginal Revenue, where MR is a function of Q. d. What is the quantity where Total Revenue is maximized? How is this related to Marginal Revenue? e. Calculate the own price elasticity of...
5. Suppose the demand for flu shots can be described by the inverse function P=80-Q and the inverse supply curve is given as P=8+2Q. What is the market equilibrium price and quantity in this market? Suppose that flu shots generate consumption externalities such that the marginal social benefit is given by the equation MSB=80 - 12Q. What are the values of Price and Quantity that maximize social welfare/surplus? Is there over- or under consumption of flu shots? What is the...
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A firm under perfect competition has the following inverse demand function given by Q=210-3P and it costs $50 to provide an extra unit. (a) Write the equation representing the demand function (1 mark) (b) What is the firm's marginal revenue? (4 marks) (c) What is the profit maximizing quantity? (5 marks) Suppose the industry had only one firm faced with the demand curve faced in part (a) of question 3. How would output price and...
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...
3. The chart illustrates your local water comnany's natural monopoly. The diagram shows the demand curve for water, the company's marginal revenue curve. its marginal cost curve (marginal costs are constant), and its average total cost curve. The government wants to regulate the monopolist by imposing a price ceiling. (20 points) a. Label the curves -Demand (D) Marginal Revenue (MR) Marginal Cost (MC) and Average Total cost (ATC) b. If the government does not regulate this monopolist, which price will...