A correctly labeled diagram must have all axes and curves clearly labeled and must show directional changes.
Assume gadgets are sold in a competitive market, the equilibrium price is $6, and the equilibrium quantity is 500 units.
(a) Using the numerical values above, draw a correctly labeled graph of the market for gadgets and show each of the following.
(i) The equilibrium price
(ii) The equilibrium quantity
(b) At a price of $8 per unit, will there be a surplus or a shortage in the market? Explain.
(c) Assume gadgets now become more popular. On your graph in part (a), show the effect of the increase in gadgets’ popularity on the equilibrium price and quantity of gadgets.
(d) Assume instead there is an increase in the price of tin, a major input in producing gadgets. What will be the effect of an increase in the price of tin on the market for gadgets?
(e) If both changes in part (c) and part (d) occurred simultaneously, will the equilibrium quantity of gadgets increase, decrease, remain unchanged, or be indeterminate? Explain.
The correct answer and explanation is :
Let’s analyze the market for gadgets, given that the equilibrium price is $6, and the equilibrium quantity is 500 units. We’ll address each part of the question systematically.
(a) Graphing the Market for Gadgets
To illustrate the market equilibrium, we can plot the supply and demand curves on a graph:
- Horizontal Axis (x-axis): Quantity of gadgets (units)
- Vertical Axis (y-axis): Price per gadget ($)
At the equilibrium point:
- Price: $6
- Quantity: 500 units
The demand curve typically slopes downward (from left to right), indicating that as the price decreases, the quantity demanded increases. The supply curve usually slopes upward, showing that as the price increases, the quantity supplied increases. The intersection of these curves represents the equilibrium price and quantity.
(b) Surplus or Shortage at $8 per Unit
At a price of $8 per unit:
- Quantity Demanded: Less than 500 units (due to the downward-sloping demand curve)
- Quantity Supplied: More than 500 units (due to the upward-sloping supply curve)
This scenario results in a surplus, where the quantity supplied exceeds the quantity demanded. Producers are willing to supply more gadgets at this higher price, but consumers are not willing to purchase as many, leading to excess supply in the market.
(c) Impact of Increased Popularity on Equilibrium
If gadgets become more popular, the demand for them increases. On the graph:
- The demand curve shifts to the right (from D1 to D2), indicating that at every price point, consumers are now willing to purchase more gadgets.
This shift leads to:
- Higher Equilibrium Price: Producers can charge more due to increased demand.
- Higher Equilibrium Quantity: More gadgets are sold as a result of the increased demand.
(d) Impact of Increased Tin Prices on Equilibrium
Tin is a major input in producing gadgets. An increase in tin prices raises production costs for manufacturers. On the graph:
- The supply curve shifts to the left (from S1 to S2), reflecting that at every price point, producers are now willing to supply fewer gadgets due to higher production costs.
This shift results in:
- Higher Equilibrium Price: Reduced supply leads to higher prices.
- Lower Equilibrium Quantity: Fewer gadgets are sold because of decreased supply.
(e) Simultaneous Effects of Increased Popularity and Tin Prices
When both demand increases (due to higher popularity) and supply decreases (due to higher tin prices):
- Demand Curve: Shifts rightward (from D1 to D2)
- Supply Curve: Shifts leftward (from S1 to S2)
The combined effects are:
- Equilibrium Price: Will definitely increase, as both shifts push the price upward.
- Equilibrium Quantity: The effect on quantity is indeterminate without specific data. The increase in demand pushes quantity up, while the decrease in supply pushes quantity down. The net effect depends on the magnitudes of these shifts.
Explanation
In microeconomics, the equilibrium price and quantity are determined by the intersection of the supply and demand curves. Changes in factors affecting supply and demand can shift these curves, leading to new equilibria.
- Increased Popularity (Demand Increase): More consumers desire gadgets, shifting the demand curve rightward. This typically results in a higher equilibrium price and quantity, as producers respond to increased demand.
- Increased Tin Prices (Supply Decrease): Higher costs for tin make gadget production more expensive, shifting the supply curve leftward. This usually leads to a higher equilibrium price but a lower equilibrium quantity, as producers supply less at higher costs.
When both factors occur simultaneously, the price effect is clear—prices rise due to both increased demand and decreased supply. However, the quantity effect is uncertain without knowing the relative magnitudes of the shifts. If the demand increase is greater than the supply decrease, the equilibrium quantity might rise. Conversely, if the supply decrease is greater than the demand increase, the equilibrium quantity might fall. Therefore, without specific data, the change in equilibrium quantity is indeterminate.
Understanding these shifts and their impacts helps in analyzing market behaviors and predicting outcomes in response to various economic changes.