Let the Market Demand curve for soybeans be given by the following equation: Q=100000 -10000P where Q = the quantity of soybeans in kilograms P = the price of soybeans in dollars per kilogram. Supply: Let the Market Supply curve for soybeans be given by the equation: Q= -5000+5000P Graph the Demand Curve on a sheet of paper. Be sure to label the axes. What is the slope of the Demand Curve? Is it positive or negative? Why? What is the intercept? Note that in order to calculate the geometrically correct intercept and slope you probably want to rewrite the equation so that P is expressed in terms of Q, and then interpret the coefficients. Equilibrium: Graph the Demand and Supply curves together. Label all parts of the graph. Using algebra, solve for the equilibrium price and quantity of the soybeans. Consumer Surplus: The Consumer Surplus (CS) is the triangular area under the demand curve and above the equilibrium price. Solve for the consumer surplus at the equilibrium price and quantity. (Hint: Use the formula for the area of a triangle.) (See Chapter 4, p. 80.)
Let the Market Demand curve for soybeans be given by the following equation: Q=100000 -10000P where Q = the quantity of soybeans in kilograms P = the price of soybeans in dollars per kilogram. Supply: Let the Market Supply curve for soybeans be given by the equation: Q= -5000+5000P Graph the Demand Curve on a sheet of paper. Be sure to label the axes. What is the slope of the Demand Curve? Is it positive or negative? Why? What is the intercept? Note that in order to calculate the geometrically correct intercept and slope you probably want to rewrite the equation so that P is expressed in terms of Q, and then interpret the coefficients. Equilibrium: Graph the Demand and Supply curves together. Label all parts of the graph. Using algebra, solve for the equilibrium price and quantity of the soybeans. Consumer Surplus: The Consumer Surplus (CS) is the triangular area under the demand curve and above the equilibrium price. Solve for the consumer surplus at the equilibrium price and quantity. (Hint: Use the formula for the area of a triangle.) (See Chapter 4, p. 80.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
: Let the Market Demand curve for soybeans be given by the following equation: Q=100000 -10000P
where Q = the quantity of soybeans in kilograms
P = the price of soybeans in dollars per kilogram.
Supply: Let the Market Supply curve for soybeans be given by the equation: Q= -5000+5000P
- Graph the Demand Curve on a sheet of paper. Be sure to label the axes. What is the slope of the Demand Curve? Is it positive or negative? Why? What is the intercept? Note that in order to calculate the geometrically correct intercept and slope you probably want to rewrite the equation so that P is expressed in terms of Q, and then interpret the coefficients.
- Equilibrium: Graph the Demand and Supply curves together. Label all parts of the graph. Using algebra, solve for the
equilibrium price and quantity of the soybeans.
Consumer Surplus : The Consumer Surplus (CS) is the triangular area under the demand curve and above the equilibrium price. Solve for the consumer surplus at the equilibrium price and quantity. (Hint: Use the formula for the area of a triangle.) (See Chapter 4, p. 80.)
Producer Surplus : The Producer Surplus (PS) is the triangular area above the supply curve and below the equilibrium price. Solve for the producer surplus at equilibrium price and quantity. (Again, use the formula for the area of a triangle.) (See Chapter 4, p. 80.)
Price Floor : Assume that the government creates price supports for soybeans in order to help the farmers. Assume that these price supports take the form of a price floor in which the government prohibits the price of soybeans from falling below $8.00 per kilogram. Draw a diagram. What will be the quantity of soybeans supplied? What will be the quantity of soybeans demanded? What will be the result of this price floor? In what quantity?
Price Ceiling : Assume that the government creates price controls for soybeans in order to help the poor. Assume that these price controls take the form of a price ceiling in which the government prohibits the price of soybeans from rising above $5.00 per kilogram. Draw a diagram. What will be the quantity of soybeans supplied? What will be the quantity of soybeans demanded? What will be the result of this price ceiling? In what quantity?
Law of Demand : A) Draw a graph and explain the Law of Demand. B) What other variables might affect demand and shift the demand curve?
- Law of Supply: A) Draw a graph and explain the Law of Supply. B) What other variables might affect supply and shift the supply curve?
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Given,
Demand =100000 -10000P
Supply = -5000+5000P
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