The product's price elasticity of supply is 0.75 when increasing from $3 to $4, indicating a relatively inelastic response in quantity supplied to changes in price within that range. (option E)
The following formula can be used to get the price elasticity of supply (PES):
![\[ \text{PES} = \frac{\%\text{ change in quantity supplied}}{\%\text{ change in price}} \]](https://img.qammunity.org/2024/formulas/business/high-school/ginvxfpax988d0v8o4qa3jaqsr4j2yqvod.png)
Let's calculate the percentage change in quantity supplied for each interval:
1. From $1 to $2:
![\[ \%\text{ change in quantity supplied} = ((6 - 4))/(4) * 100\% = 50\% \]](https://img.qammunity.org/2024/formulas/business/high-school/e3d1xpm6iurfwy20nb6qlfvhnrysum0933.png)
2. From $2 to $3:
![\[ \%\text{ change in quantity supplied} = ((8 - 6))/(6) * 100\% = 33.33\% \]](https://img.qammunity.org/2024/formulas/business/high-school/ain6kd43siqnv9gmgxhcerm2906xrjm7ab.png)
3. From $3 to $4:
![\[ \%\text{ change in quantity supplied} = ((10 - 8))/(8) * 100\% = 25\% \]](https://img.qammunity.org/2024/formulas/business/high-school/abx2r3b1rr9t14hopksvhvav3f0yef6pf9.png)
Now, let's analyze the provided options:
- The available data does not support Option A.
- Option B is not necessary as we can calculate the PES.
- Option C is incorrect; the PES is not -0.6.
- Option D is incorrect; the PES is not 1.5.
- Option E is correct; the PES is
when increasing from $3 to $4, which is approximately 0.75.
Therefore, the correct answer is E. It is 0.75 when increasing from $3 to $4.