1. If the cost to recover the 60 to 70 foot cypress trees is $375 each and the cost to harvest the larger trees is $500, how much it cost to recover all of the trees if 2/5 of the trees are more than 70 feet long?

Question

1. If the cost to recover the 60 to 70 foot cypress trees is $375 each and the cost to harvest the larger trees is $500, how much it cost to recover all of the trees if 2/5 of the trees are more than 70 feet long?

4. Because the harvested lumber depletes the amount of natural resource available ti the citizens of North Carolina, the state of North Carolina place an excise tax of 1/20 of all profits earned by lumber companies within the state. If the harvested cypress wood is worth approximately $80,000,000 and the only expense of obtaining the wood is the recovery cost, how much excise tax is owned to North Carolina?

Answer 1

If there are x trees, the cost is

375(3/5 x) + 500(2/5 x) = 425x

Not knowing how many trees were harvested, the cost is unknown, but if there were x trees worth $80M, then the tax must be

1/20 ($80M - 425x)

Answer 2

To calculate the cost of recovering all the trees, we first need to determine how many trees are in each category (60-70 feet and more than 70 feet long).

Let's say we have x total trees. Since 2/5 of the trees are more than 70 feet long, then 3/5 of the trees are in the 60-70 feet category.

So, the number of trees in the 60-70 feet category is (3/5)x and the number of trees in the more than 70 feet category is (2/5)x.

The cost to recover each 60-70 foot cypress tree is $375, so the cost to recover all the trees in this category would be ((3/5)x) * $375.

The cost to harvest each larger tree is $500, so the cost to recover all the trees in this category would be ((2/5)x) * $500.

To find the total cost of recovering all the trees, we add the costs of both categories:

Total cost = ((3/5)x) * $375 + ((2/5)x) * $500

Now, substitute the given value of x to calculate the exact cost.

Regarding the excise tax owed to North Carolina, it is calculated as 1/20 of all profits earned by lumber companies within the state. Since the only expense mentioned in obtaining the wood is the recovery cost, we can assume that the profit is equal to the value of the harvested cypress wood, which is $80,000,000.

To calculate the excise tax owed to North Carolina, we can multiply the profit by 1/20:

Excise tax = $80,000,000 * (1/20)

Simplify the calculation to find the exact amount owed as excise tax to North Carolina.