A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimates that each tree will yield 300 board-feet. Estimate the yield of the stand if one-tenth of the trees are cut.

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

Where:

- Surface density, measured in trees per square meter.

- Total area, measured in square meters.

Given that and , the total amount of fir trees is:

It is known that one-tenth of the tress are cut, whose amount is:

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

Where:

- Yield of the tress, measured in board-feet per tree.

- Amount of trees that will be cut, measured in trees.

If and , then:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

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step-by-step explanation: