Suppose honey is produced in a beehive using bees and sugar. Each honey producer uses one beehive which she rents for $20/month. Producing q gallons of honey in one month requires spending 5q dollars bees, and 4q2 dollars on sugar. (a) What is the total cost of producing q units of honey for an individual honey producer in a given month? (b) In general, if the total cost of producing honey is a + bq + cq2, then the marginal cost of producing honey is b + 2cq. Assuming each honey producer operates as a price-taker, what is the monthly supply curve for an individual producer? (c) Let Q be the total market supply, and q is the supply of an individual firm. Therefore, q = Q/n where n is the total number of firms in the market. Suppose the demand for honey is given by Q = 512-4P. Also, suppose there are 50 honey producers in the market. What is the equilibrium price of honey?
Suppose honey is produced in a beehive using bees and sugar. Each honey producer uses one beehive which she rents for $20/month. Producing q gallons of honey in one month requires spending 5q dollars bees, and 4q2 dollars on sugar. (a) What is the total cost of producing q units of honey for an individual honey producer in a given month? (b) In general, if the total cost of producing honey is a + bq + cq2, then the marginal cost of producing honey is b + 2cq. Assuming each honey producer operates as a price-taker, what is the monthly supply curve for an individual producer? (c) Let Q be the total market supply, and q is the supply of an individual firm. Therefore, q = Q/n where n is the total number of firms in the market. Suppose the demand for honey is given by Q = 512-4P. Also, suppose there are 50 honey producers in the market. What is the equilibrium price of honey?
Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis
Section: Chapter Questions
Problem 1DQ
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Suppose honey is produced in a beehive using bees and sugar. Each honey producer uses one beehive which she rents for $20/month. Producing q gallons of honey in one month requires spending 5q dollars bees, and 4q2 dollars on sugar. (a) What is the total cost of producing q units of honey for an individual honey producer in a given month? (b) In general, if the total cost of producing honey is a + bq + cq2, then the marginal cost of producing honey is b + 2cq. Assuming each honey producer operates as a price-taker, what is the monthly supply curve for an individual producer? (c) Let Q be the total market supply, and q is the supply of an individual firm. Therefore, q = Q/n where n is the total number of firms in the market. Suppose the demand for honey is given by Q = 512-4P. Also, suppose there are 50 honey producers in the market. What is the equilibrium price of honey? (d) How much profit does an individual producer make in a month? Is this a long-run equilibrium? If the answer is yes, simply state that it is a long-run equilibrium. If the answer is no, explain whether or not the equilibrium price will rise or fall.
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