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Question
the table below shows the demand and supply for hip hop cds in peterborough.
| price | quantity demanded | quantity supplied 1 | quantity supplied 2 |
|---|---|---|---|
| 2 | 140 | 100 | |
| 4 | 130 | 130 | |
| 6 | 120 | 150 | |
| 8 | 110 | 170 | |
| 10 | 100 | 200 |
a. what is the equilibrium price and quantity traded?
the equilibrium price is $\underline{\quad}$ and the quantity traded is $\underline{\quad}$.
b. suppose supply increases by 40. complete the last column in the table above.
c. what would be the price and quantity traded at the new equilibrium?
the equilibrium price is $\underline{\quad}$ and the quantity traded is $\underline{\quad}$.
d. after the increase in supply, at a price of $4 there would be a click to select of $\underline{\quad}$ units.
Step1: Find initial equilibrium
Equilibrium occurs where quantity demanded = quantity supplied. Check the table: at price $4$, Quantity Demanded = 130, Quantity Supplied 1 = 130.
Step2: Calculate new supply values
Add 40 to each Quantity Supplied 1 value:
- Price $0$: $70 + 40 = 110$
- Price $2$: $100 + 40 = 140$
- Price $4$: $130 + 40 = 170$
- Price $6$: $150 + 40 = 190$
- Price $8$: $170 + 40 = 210$
- Price $10$: $220 + 40 = 260$
Step3: Find new equilibrium
Find where quantity demanded = new quantity supplied. At price $2$, Quantity Demanded = 140, Quantity Supplied 2 = 140.
Step4: Calculate surplus at $4$
At price $4$, Quantity Supplied 2 = 170, Quantity Demanded = 130. Surplus = $170 - 130 = 40$.
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a. The equilibrium price is $\$4$ and the quantity traded is $130$
b. Completed Quantity Supplied 2 column:
| Price | Quantity Demanded | Quantity Supplied 1 | Quantity Supplied 2 |
|---|---|---|---|
| 2 | 140 | 100 | 140 |
| 4 | 130 | 130 | 170 |
| 6 | 120 | 150 | 190 |
| 8 | 110 | 170 | 210 |
| 10 | 100 | 220 | 260 |
c. The equilibrium price is $\$2$ and the quantity traded is $140$
d. After the increase in supply, at a price of $\$4$ there would be a surplus of $40$ units