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Given below are the Demand and Supply functions for consumers and suppliers.

Supply function: Qs=P
Demand function: Qd=60-5p
Graph the equations (make sure to label the graphs appropriately and clearly)
Find the equilibrium price and quantity. Calculate the Consumer and Producer surplus for consumers and producers
Explain what would happen if the government imposed a price ceiling of 10 dollars (Calculate the shortage or surplus in the quantity demanded). Then discuss how the total surplus would change, I don’t want you to calculate the surplus, just discuss how it might change.

User Blachniet
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Final answer:

To solve for the equilibrium price and quantity, graph the supply function P=Qs and the demand function P=12-0.2Qd, finding where they intersect. At equilibrium, price is $10 and quantity is 10 units. A price ceiling would cause a shortage and reduce total surplus.

Step-by-step explanation:

To graph the given supply and demand functions, first rearrange both functions to solve for P. The supply function is Qs = P, so it remains P = Qs. The demand function given is Qd = 60 - 5P, which rearranges to P = 12 - 0.2Qd. Plotting these on a graph, the y-intercept of the demand curve is 12 (where Qd=0), and the slope is -0.2 (decreasing), while the supply curve has a y-intercept of 0 and a slope of 1 (since P=Qs is a straight line).

The equilibrium price and quantity occur where the quantity supplied equals the quantity demanded (Qs=Qd). Setting the demand equation equal to the supply equation gives 60 - 5P = P, which simplifies to P = 10. Therefore, at the equilibrium price of $10, the quantity is 60 - 5(10) = 10 units.

Consumer surplus is the area under the demand curve but above the price, forming a triangle. In contrast, producer surplus is the area above the supply curve but below the price, also forming a triangle. If a price ceiling of $10 is imposed and the equilibrium price is above $10, it leads to a shortage, as the quantity demanded at that price would be higher than the quantity supplied. This intervention reduces the total surplus because it distorts the market outcome and can lead to inefficiencies.

User CamD
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