![3. (20 points]Let x = 5000 - 20p where pe price and 1= demand. (a) Express the revenue function R(p) in terms of p. (b) Compu](http://img.homeworklib.com/questions/f9d1f8d0-9fae-11eb-a11c-71efecd7c2d2.png?x-oss-process=image/resize,w_560)
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![R = Where Given in demand 5000-200 P= price , x= demand The revenue function R (P) = xXP [demandx price] or, RCP) = (6000-200](http://img.homeworklib.com/questions/5fd07660-9fb0-11eb-96d0-87267fc8a787.png?x-oss-process=image/resize,w_560)
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3. (20 points]Let x = 5000 - 20p where pe price and 1= demand. (a) Express...
3. A monopolist chooses output (x) to maximize profit (T) where r(x) = p(x)x-c(x) In this...
3. A monopolist chooses output (x) to maximize profit (T) where r(x) = p(x)x-c(x) In this equation, p(x) denotes the price of x and c(x) is the cost of producing x. Since demand curves are downward sloping, we assume that p,(x) <0. In addition, we will assume that marginal cost is positive and non-decreasing; that is, c'(x) > 0 and c"(x) 2 0. Derive a condition on the demand curve such that marginal revenue is downward sloping. Derive the first...
Suppose that a price setting firm has the following direct demand function: Qd = 100-20P a....
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...
3. QD 5000-20P a. Where does the demand curve cross the vertical and horizontal axis? b....
3. QD 5000-20P a. Where does the demand curve cross the vertical and horizontal axis? b. Compute price elasticity when Price $200, $125, and $50. c. Compute Marginal revenue when Price $200, $125, and $50.
Assume that the daily inverse demand function for X-rays in a city with 1 X-ray provider...
Assume that the daily inverse demand function for X-rays in a city with 1 X-ray provider is: P=4000-100Qd Calculate the profit-maximizing price for the following marginal costs: $100 $200 $300
1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is...
1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is average weekly household income, and that the firm's marginal cost function is given by MC(Q) 2Q. The firm has no fixed costs. = (a) If the average weekly household income is $600, find the firm's marginal revenue function. (b) What is the firm's profit-maximizing quantity of output? At what price will the firm sell that output? What will the firm's marginal cost be? (c)...
1) 1) A single-price monopolist is currently producing an output level where P-520, MR = $13,...
1) 1) A single-price monopolist is currently producing an output level where P-520, MR = $13, ATC = $15, and MC = $14. In order to maximize profits, this monopolist should A) shut down B) decrease production and increase price. C) not change his output level, because he is currently at the profit-maximizing output level. D) increase production and reduce price. E) there is insufficient information to make a recommendation 2) 2) Consider a monopolist that is able to distinguish...
Problem 1e. The slope of the demand curve indicates that if the price of Fluff increases...
Problem 1e. The slope
of the demand curve indicates that if the price of Fluff increases
by 20 cents, consumers will buy one less unit. Determine what
happens to profit if price is increased by calculating the new
profit level for Fluff when price is set 20 cents higher than the
profit-maximizing price.
problem 2
Probem 3
Consider the graph, which illustrates the demand for Fluff. Fluff can be produced at a constant marginal and average total cost of $4...
The price demand equation for hamburgers at a fast food restaurant is x + 1000p = 2,500 where p is the price in which exactly x items will be sold. Currently, the price of an order of fries is $1. A....
The price demand equation for hamburgers at a fast food restaurant is x + 1000p = 2,500 where p is the price in which exactly x items will be sold. Currently, the price of an order of fries is $1. A. How many fries are they currently selling? B. If the price is decreased will the revenue increase or decrease? C. If the price is increased, will the revenue increase or decrease? D. What price will maximize revenue?
Q2: The demand for a single-price monopolist’s product is Q = 60 – 2P where Q...
Q2: The demand for a single-price monopolist’s product is Q = 60 – 2P where Q is measured in units and P is measured in $/unit. a) At which price is the demand for the monopolist’s product unit elastic? b) At which prices is the demand for the monopolist’s product elastic? c) At which prices is demand for the monopolist’s product inelastic? d) Suppose the monopoly is currently producing and selling 50 units of output. What price must the monopoly...
#1 1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70...
#1
1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70 60 50 40 TC 200 400 600 800 800 1,000 1.200 1.400 a) Is the firm a price-taker or price searcher? Explain. b) Complete the Total Revenue (TR) and Profit schedules. c) How many units of output (Q) should the firm produce to maximize profits? d) What price (P) should the...
3. A monopolist chooses output (x) to maximize profit (T) where r(x) = p(x)x-c(x) In this equation, p(x) denotes the price of x and c(x) is the cost of producing x. Since demand curves are downward sloping, we assume that p,(x) <0. In addition, we will assume that marginal cost is positive and non-decreasing; that is, c'(x) > 0 and c"(x) 2 0. Derive a condition on the demand curve such that marginal revenue is downward sloping. Derive the first...
3. QD 5000-20P a. Where does the demand curve cross the vertical and horizontal axis? b. Compute price elasticity when Price $200, $125, and $50. c. Compute Marginal revenue when Price $200, $125, and $50.
1. Suppose that a single-price monopolist faces the demand function P 100 Q where I is average weekly household income, and that the firm's marginal cost function is given by MC(Q) 2Q. The firm has no fixed costs. = (a) If the average weekly household income is $600, find the firm's marginal revenue function. (b) What is the firm's profit-maximizing quantity of output? At what price will the firm sell that output? What will the firm's marginal cost be? (c)...
1) 1) A single-price monopolist is currently producing an output level where P-520, MR = $13, ATC = $15, and MC = $14. In order to maximize profits, this monopolist should A) shut down B) decrease production and increase price. C) not change his output level, because he is currently at the profit-maximizing output level. D) increase production and reduce price. E) there is insufficient information to make a recommendation 2) 2) Consider a monopolist that is able to distinguish...
Problem 1e. The slope
of the demand curve indicates that if the price of Fluff increases
by 20 cents, consumers will buy one less unit. Determine what
happens to profit if price is increased by calculating the new
profit level for Fluff when price is set 20 cents higher than the
profit-maximizing price.
problem 2
Probem 3
Consider the graph, which illustrates the demand for Fluff. Fluff can be produced at a constant marginal and average total cost of $4...
#1
1. A firm has the following demand and total cost schedule. TR Profit MR MC O 0 10 20 30 40 50 60 P 100 90 80 70 60 50 40 TC 200 400 600 800 800 1,000 1.200 1.400 a) Is the firm a price-taker or price searcher? Explain. b) Complete the Total Revenue (TR) and Profit schedules. c) How many units of output (Q) should the firm produce to maximize profits? d) What price (P) should the...
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