Marginal Cost and Marginal BenefitQuantity (hives) MCprivate MBprivate MBexternal MBsocial1 $100 $300 $ $ 2 200 300 3 300 300 4 400 300 5 500 300 Instructions: Enter your answers as a whole number. a. What is "private quantity" of hives for Amanda to tend? hive(s) Now suppose that each of Amanda’s bee hives also provides pollination services to surrounding farms and that these services are worth $100 per hive per month. b. Fill in the external marginal benefit (MBexternal) and the social marginal benefit (MBsocial) columns in the table above. c. What is the socially efficient number of hives for Amanda to tend if all costs and benefits are considered? hive(s)
Question
Marginal Cost and Marginal BenefitQuantity (hives) MCprivate MBprivate MBexternal MBsocial1 300 2 200 300 3 300 300 4 400 300 5 500 300 Instructions: Enter your answers as a whole number. a. What is "private quantity" of hives for Amanda to tend? hive(s) Now suppose that each of Amanda’s bee hives also provides pollination services to surrounding farms and that these services are worth $100 per hive per month. b. Fill in the external marginal benefit (MBexternal) and the social marginal benefit (MBsocial) columns in the table above. c. What is the socially efficient number of hives for Amanda to tend if all costs and benefits are considered? hive(s)
Solution
a. The "private quantity" of hives for Amanda to tend is determined by the point where the private marginal cost (MCprivate) equals the private marginal benefit (MBprivate). Looking at the table, we can see that this happens at 3 hives. So, Amanda should tend 3 hives.
b. The external marginal benefit (MBexternal) is given as 100 for each hive. The social marginal benefit (MBsocial) is the sum of the private marginal benefit (MBprivate) and the external marginal benefit (MBexternal). So, for each hive, the MBsocial will be 100 (MBexternal) = $400.
The table will look like this:
| Quantity (hives) | MCprivate | MBprivate | MBexternal | MBsocial |
|---|---|---|---|---|
| 1 | $100 | $300 | $100 | $400 |
| 2 | $200 | $300 | $100 | $400 |
| 3 | $300 | $300 | $100 | $400 |
| 4 | $400 | $300 | $100 | $400 |
| 5 | $500 | $300 | $100 | $400 |
c. The socially efficient number of hives for Amanda to tend is determined by the point where the marginal cost (MCprivate) equals the social marginal benefit (MBsocial). Looking at the updated table, we can see that this happens at 4 hives. So, considering all costs and benefits, Amanda should tend 4 hives.
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