What is the typical maximum sustainable yield for a fish population, given that its carrying capacity (K) is 20,000 and intrinsic growth rate (r) is 0.15?

Correct option is B

The Maximum Sustainable Yield (MSY) of a population occurs when the population size is at half of the carrying capacity (K). The formula for MSY is:

$$\text{MSY} = \frac{rK}{2}$$

Given:

• Carrying capacity (K) = 20,000

• Intrinsic growth rate (r) = 0.15

   MSY =    $$\frac{20000 \times 0.15}{2}$$ = 1500

Thus, the typical maximum sustainable yield is 1,500.

Information Booster:

1. The Maximum Sustainable Yield (MSY) occurs at half the carrying capacity (K/2) of a population.

2. At the MSY point, the growth rate of the population is maximized, and the population is able to maintain a sustainable yield.

3. The MSY formula considers the intrinsic growth rate (r) and the carrying capacity (K) of the population.

Additional Knowledge:

• 1,333 (option 1) is incorrect because it underestimates the typical MSY.

• 3,000 (option 3) and 6,666 (option 4) are also incorrect; they overestimate the yield based on the given carrying capacity and growth rate.

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