The average revenue (demand) for product Q is given by AR = 370 - Q and...
The average revenue (demand) for product Q is given by AR = 370 - Q and the total cost of Q by: STC=10500+10Q+Q^2 < Note: this is not a typical cubic function
f. At what level of Q is revenue maximized? Remember, let MR = 0 and solve for Q. MR = 0 signals the objective of maximizing revenue.
g. At what level of Q is average profit per unit maximized? Hint: the average profit function is the total profit function found in (e) divided by Q. To find the level of Q that maximizes average profit, find the first derivative of average profit, set this derivative equal to zero and solve for Q.
h. What price per unit should be charged at the quantity found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).
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The average revenue (demand) for product Q is given by AR = 370
- Q and...
A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=150 MC=100 What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output
a firm in perfectly competitive market sells all its products Q at constant price p (1)A...
a firm in perfectly competitive market sells all its products
Q at constant price p
(1)A firm in a perfectly competitive market sells all its product (Q) at a constant price (P) of $60. Suppose the total cost function (TC) for this firm is described by the following equation: 2 3 TC(Q) = 128 +690 - 140 + Q (a)Form the profit function and determine the output that maximizes the firm's profit. Evaluate the second order condition to assure that...
A monopolist faces the following demand curve: Q = 260-2P Where Q is the weekly production...
A monopolist faces the following demand curve: Q = 260-2P Where Q is the weekly production and P is the price, measured in $/unit. The firm's cost function is given by C= 20 + 10Q+Q2. Assuming the firm maximizes profits, 1. (10 pts) Find the equation describing the marginal revenue (MR) curve. 2. (20 pts) What is the level of production (Q), price (P), and total profit (TT) per week? 3. (20 pts) If the government decides to levy a...
A firm has revenue given by R(g) 220q-3q2 and its cost function is C(g)-300 10q. What...
A firm has revenue given by R(g) 220q-3q2 and its cost function is C(g)-300 10q. What is the profit-maximizing level of output? What profit does the firm earn at this output level? The firm maximizes profit by producing q=| |. (Enter your response as a whole number.)
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for...
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output
A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its...
A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit-maximizing level of output? What is the profit-maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by the state government. What is the profit-maximizing level of output?
12. Given the demand function is Q 180 5P, find the following: a The revenue finction...
12. Given the demand function is Q 180 5P, find the following: a The revenue finction b. The revnue maximizing output and price c. The own-price elasticity of demand at P $80 d. The level ofe and P where the own-price elasticity of demand (ED) is equal to one, in absolute value. What is the nature of total revenue when lEDl 1? 13. Assume that the demand function is Q demand at each of the following prices a. b. $7...
Consider a competitive rm with total costs given by TC(q) = 100 + 10q + q^2,...
Consider a competitive rm with total costs given by TC(q) = 100 + 10q + q^2, The firm faces a market price p = 50. (a) Write expressions for total revenue TR and marginal revenue MR as functions of output q. (b) Write expressions for average total cost ATC, average variable cost AVC, and marginal cost MC as functions of output q. (c) For what value of output is ATC minimized? (d) Find the profit maximizing level of output q...
A firm faces the following average revenue (demand) curve: P = 120 – 0.02Q where Q...
A firm faces the following average revenue (demand) curve: P = 120 – 0.02Q where Q is weekly production and P is price, measured in cents per unit. The firm's cost function is given by TC = 60Q + 25,000. Assume that the firm maximizes profits. Calculate the level of production, price, and total profit per week.
Can you label each one please . (1)A firm in a perfectly competitive market sells all...
Can you label each one please .
(1)A firm in a perfectly competitive market sells all its product (Q) at a constant price (P) of $60. Suppose the total cost function (TC) for this firm is described by the following equation: 2 3 TC(Q) 128+ 690-14Q + Q (a)Form the profit function and determine the output that maximizes the firm's profit. Evaluate the second order condition to assure that profit is maximized at this level of output. (b)Derive the marginal...
a firm in perfectly competitive market sells all its products
Q at constant price p
(1)A firm in a perfectly competitive market sells all its product (Q) at a constant price (P) of $60. Suppose the total cost function (TC) for this firm is described by the following equation: 2 3 TC(Q) = 128 +690 - 140 + Q (a)Form the profit function and determine the output that maximizes the firm's profit. Evaluate the second order condition to assure that...
A monopolist faces the following demand curve: Q = 260-2P Where Q is the weekly production and P is the price, measured in $/unit. The firm's cost function is given by C= 20 + 10Q+Q2. Assuming the firm maximizes profits, 1. (10 pts) Find the equation describing the marginal revenue (MR) curve. 2. (20 pts) What is the level of production (Q), price (P), and total profit (TT) per week? 3. (20 pts) If the government decides to levy a...
A firm has revenue given by R(g) 220q-3q2 and its cost function is C(g)-300 10q. What is the profit-maximizing level of output? What profit does the firm earn at this output level? The firm maximizes profit by producing q=| |. (Enter your response as a whole number.)
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output
12. Given the demand function is Q 180 5P, find the following: a The revenue finction b. The revnue maximizing output and price c. The own-price elasticity of demand at P $80 d. The level ofe and P where the own-price elasticity of demand (ED) is equal to one, in absolute value. What is the nature of total revenue when lEDl 1? 13. Assume that the demand function is Q demand at each of the following prices a. b. $7...
Can you label each one please .
(1)A firm in a perfectly competitive market sells all its product (Q) at a constant price (P) of $60. Suppose the total cost function (TC) for this firm is described by the following equation: 2 3 TC(Q) 128+ 690-14Q + Q (a)Form the profit function and determine the output that maximizes the firm's profit. Evaluate the second order condition to assure that profit is maximized at this level of output. (b)Derive the marginal...
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