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Partial Derivatives Example (11): Suppose that the daily demand for 3q butter is given by f (p,q)d the daily 1+p2 2p demand for margarine is given by g(p,q) where p and q are the unit prices. Dete...
39. The demand functions for two products are given below. pi. P2. qi,and q are the prices (in Are these two products complementary goods dollars) and quantities for products 1 and 2. or substitut...
39. The demand functions for two products are given below. pi. P2. qi,and q are the prices (in Are these two products complementary goods dollars) and quantities for products 1 and 2. or substitute goods -200-3p,+ -150+p-2p
39. The demand functions for two products are given below. pi. P2. qi,and q are the prices (in Are these two products complementary goods dollars) and quantities for products 1 and 2. or substitute goods -200-3p,+ -150+p-2p
suppose the demand curve for a product is given by Q=10-2P+Ps1,where P is the price of the product and Ps is the price of a substitute good
suppose the demand curve for a product is given by Q=10-2P+Ps1,where P is the price of the product and Ps is the price of a substitute good. the price of the substitute good is $2.00.a)suppose P=$1.00, what is the price elasticity of demand?what is the cross- price elasticity of demand?b)suppose the price of the good, P, increases to $2.00. Now what is the price elasticity of demand, and what is the cross-prices elasticity of demand?
For a perfectly competitive market, daily demand for a good is given by P-10-Q, where P...
For a perfectly competitive market, daily demand for a good is given by P-10-Q, where P ¡s price and Q is quantity. Supply is given by P = 2 + Q. Suppose the government imposes an excise tax of $2 on sellers in the market. (An excise tax is a tax per unit.) (a) What is the original (before the tax) producer surplus and (b)new (after the tax) producer surplus?
Suppose the supply curve for apples is given by QS = 2P, where QS is the...
Suppose the supply curve for apples is given by QS = 2P, where QS is the quantity offered for sale when the prices is P. Also, suppose the demand curve for apples is given by QD = 182 − 4P I, where QD is the quantity of apples demanded when the price is P and the level of income is I. a) Find the equilibrium P and Q when I = 6. b) Find price-elasticity of demand at the equilibrium...
4. Suppose the supply curve for apples is given by QS -2P, where QS is the...
4. Suppose the supply curve for apples is given by QS -2P, where QS is the quantity offered for sale when the prices is P. Also, suppose the demand curve for apples is given by QD- 182-4PI, where QD is the quantity of apples demanded when the price is P and the level of income is erw a) Find the equilibrium P and Q when I -6 b) Find price-elasticity of demand at the equilibrium when 6, and give an...
The demand function for a Christmas music CD is given by q=D(p)=0.25(225−p2) where qq (measured in...
The demand function for a Christmas music CD is given by q=D(p)=0.25(225−p2) where qq (measured in units of a hundred) is the quantity demanded per week and pp is the unit price in dollars. (a) Find the elasticity function E(p)= (b) Evaluate the elasticity at 10. E(10)= (c) Should the unit price be lowered slightly from 10 in order to increase revenue? ? yes no (d) Use the elasticity of demand to find the price which maximizes revenue for this product. p= dollars...
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)...
7. Suppose the demand for lychees is given by the following equation: 100P 500PM, where P...
7. Suppose the demand for lychees is given by the following equation: 100P 500PM, where P is the price of lychees and P, is the price of mangoes What happens to the demand for lychees when the price of mangoes goes up? Are lychees and mangoes substitutes or complements? a. b. Graph the demand curve for lychees when Pu2 Now suppose that the quantity of lychees supplied is given by the following equation: 1500P- 60R, where R is the amount...
1. Suppose that demand is given by P=100-Q, marginal revenue is MR=100-2Q, and marginal cost (and...
1. Suppose that demand is given by P=100-Q, marginal revenue is MR=100-2Q, and marginal cost (and average cost) is constant at 20. a. What single price will maximize a monopolist's profit? b. What will be the prices and quantity under two-part pricing? It involves a lump sum fee (e.g., membership fee) equal to the consumer surplus at competitive prices and user fees (i.e., unit price) equal to the competitive price. c. Now the monopolist has another group of consumers whose...
39. The demand functions for two products are given below. pi. P2. qi,and q are the prices (in Are these two products complementary goods dollars) and quantities for products 1 and 2. or substitute goods -200-3p,+ -150+p-2p
39. The demand functions for two products are given below. pi. P2. qi,and q are the prices (in Are these two products complementary goods dollars) and quantities for products 1 and 2. or substitute goods -200-3p,+ -150+p-2p
For a perfectly competitive market, daily demand for a good is given by P-10-Q, where P ¡s price and Q is quantity. Supply is given by P = 2 + Q. Suppose the government imposes an excise tax of $2 on sellers in the market. (An excise tax is a tax per unit.) (a) What is the original (before the tax) producer surplus and (b)new (after the tax) producer surplus?
4. Suppose the supply curve for apples is given by QS -2P, where QS is the quantity offered for sale when the prices is P. Also, suppose the demand curve for apples is given by QD- 182-4PI, where QD is the quantity of apples demanded when the price is P and the level of income is erw a) Find the equilibrium P and Q when I -6 b) Find price-elasticity of demand at the equilibrium when 6, and give an...
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)...
7. Suppose the demand for lychees is given by the following equation: 100P 500PM, where P is the price of lychees and P, is the price of mangoes What happens to the demand for lychees when the price of mangoes goes up? Are lychees and mangoes substitutes or complements? a. b. Graph the demand curve for lychees when Pu2 Now suppose that the quantity of lychees supplied is given by the following equation: 1500P- 60R, where R is the amount...
1. Suppose that demand is given by P=100-Q, marginal revenue is MR=100-2Q, and marginal cost (and average cost) is constant at 20. a. What single price will maximize a monopolist's profit? b. What will be the prices and quantity under two-part pricing? It involves a lump sum fee (e.g., membership fee) equal to the consumer surplus at competitive prices and user fees (i.e., unit price) equal to the competitive price. c. Now the monopolist has another group of consumers whose...
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