Homework Answers
![P250-20 1) Total Revenue (TR) 2 PXQ (50%-2Q) a I TR: 508 - 202] MR. dese] da 2 d [50 Q- QQ² da TMP 2 50-4Q 2. At P210 - 10250](http://img.homeworklib.com/questions/0dc46100-7894-11ea-abdd-8d80b2094be8.png?x-oss-process=image/resize,w_560)
Question 2: A monopolistic firm produces goods in a market where the demand function is P...
Question 2: A monopolistic firm produces goods in a market where the demand function is P = 43 - 0.3Q and the corresponding total cost function is TC =0.0103 – 0.4Q2 +3Q (a) What can you say about the fixed costs of this firm? (b What can you say about the variable costs of this firm? (c) Find the (non-zero) output for which average cost is equal to marginal cost, and explain the significance of this value. (d Find the...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q and Supply: P= 1 + (1/100) Q [P: Price, Q: Quantity] i. Given the above information find the equilibrium price and quantity for Good X. ii. What is the point elasticity of demand at equilibrium? Is it elastic, inelastic or unitary elastic? iii. What is the point elasticity of supply at equilibrium? Is it elastic, inelastic or unitary elastic? iv. If the price increases...
Consider the constant-elasticity demand function Q = p^−ε, where ε > 0. a. Solve for the...
Consider the constant-elasticity demand function Q = p^−ε, where ε > 0. a. Solve for the inverse demand function p(Q). b. Calculate the demand price elasticity. c. Show that p(Q)/MR(Q) is independent of the output level Q. (Hint: Use the relationship between marginal revenue and the elasticity of demand.)
Question 3-4 SESSION 13 The marginal revenue is the rate of change in total revenue per...
Question 3-4
SESSION 13 The marginal revenue is the rate of change in total revenue per unit increase in output, Q The marginal cost is the rate of change in total cost per unit increase in output, Q AR is defined as average revenue per unit for the first Q su ccessive units sold. AR is determined by dividing total reven ue by the quantity sold, Q The AR function is equal to price, P. where Pis given by the...
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017,...
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017, where P, and P, are prices for good 1 and 2, respectively, and Y is income. (a) (2 points) Are good 1 and good 2 complements or substitutes? Why? (b) (3 points) Calculate the cross-price elasticity of demand for good 1, with respect to the price of good 2, given P, = $1.20, P, = 3.50, and Y = $15,000.
Consider a competitive firm with total costs given by TC(q) = 100 + 10q + q...
Consider a competitive firm 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?
#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...
1. The inverse demand function for a good takes the constant elasticity form p(Q) = Qβ...
1. The inverse demand function for a good takes the constant elasticity form p(Q) = Qβ , −1 < β < 0, which is a commonly used simple functional form. The good is produced by n identical firms with a cost function c(qi) = cqi . Note that c 0 (qi) = c and c 00(qi) = 0; i.e., there are constant marginal costs. A specific tax of t per unit is imposed on the production of the good. (a)...
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...
Q3. The general linear demand for good X is estimated to be Q = 25,000 -...
Q3. The general linear demand for good X is estimated to be Q = 25,000 - 80P-0.25M + 72P (6 Pts) where P is the price of good X, M is average income of consumers who buy good X, and P, is the price of related good R. The values of P, M, and P, are expected to be $100, $35,000, and $60, respectively. Use these values at this point on demand to make the following computations. a. Compute the...
Question 2: A monopolistic firm produces goods in a market where the demand function is P = 43 - 0.3Q and the corresponding total cost function is TC =0.0103 – 0.4Q2 +3Q (a) What can you say about the fixed costs of this firm? (b What can you say about the variable costs of this firm? (c) Find the (non-zero) output for which average cost is equal to marginal cost, and explain the significance of this value. (d Find the...
2. Demand and supply equations for Good X is given as: Demand: P=6 - (1/50) Q and Supply: P= 1 + (1/100) Q [P: Price, Q: Quantity] i. Given the above information find the equilibrium price and quantity for Good X. ii. What is the point elasticity of demand at equilibrium? Is it elastic, inelastic or unitary elastic? iii. What is the point elasticity of supply at equilibrium? Is it elastic, inelastic or unitary elastic? iv. If the price increases...
Question 3-4
SESSION 13 The marginal revenue is the rate of change in total revenue per unit increase in output, Q The marginal cost is the rate of change in total cost per unit increase in output, Q AR is defined as average revenue per unit for the first Q su ccessive units sold. AR is determined by dividing total reven ue by the quantity sold, Q The AR function is equal to price, P. where Pis given by the...
4. Given the estimated demand function for good 1: Q = 50 - 4P,-3.2P, + 0.017, where P, and P, are prices for good 1 and 2, respectively, and Y is income. (a) (2 points) Are good 1 and good 2 complements or substitutes? Why? (b) (3 points) Calculate the cross-price elasticity of demand for good 1, with respect to the price of good 2, given P, = $1.20, P, = 3.50, and Y = $15,000.
#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...
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...
Q3. The general linear demand for good X is estimated to be Q = 25,000 - 80P-0.25M + 72P (6 Pts) where P is the price of good X, M is average income of consumers who buy good X, and P, is the price of related good R. The values of P, M, and P, are expected to be $100, $35,000, and $60, respectively. Use these values at this point on demand to make the following computations. a. Compute the...
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