Cape Fear Riverwood is lumber company that specializes in recovering, cutting, and selling wood from trees discarded long ago,even those that have been underwater or buried in the ground for more than 100 year ! Historically, the logging industry used rafts made of wood to transport cut trees to logging pens along the Cape Fear River in North Carolina. some of heavier trees sank during transportation. Other trees were intentionally dumped in the river for disposal after being bled for turpentine. The company used side-scan penetrating radar to find large quantities of logs in 30 locations in and around the river. The first two sites the company salvaged contained heart pine and river pine. A more recent site contained a treasure trove of perfectly preserved 38,000-year-old cypress trees buried 30 feet in a sand pit. Scientists have identified these as tree that became extinct more than 20,000 years ago.
The cypress trees are 60 to 80 feet long. If there are 14,285 trees at an average length of 70 feet, how many feet of wood will the company have?
2. If the cypress is worth $80 per foot, what are the 14,285 trees worth?
3.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?
1. 14,285 * 70 = _______ feet
2. Multiply the number of feet by $80.
3.
(0.6 * 14,285 * 375) + (0.4 * 14,285 * 500) = _____ total cost
Great
1. To find the total feet of wood the company will have, we need to multiply the number of trees by the average length of each tree:
Total feet of wood = Number of trees x Average length of each tree
Total feet of wood = 14,285 trees x 70 feet
Total feet of wood = 1,000,950 feet
2. To find the worth of the 14,285 trees, we need to multiply the total feet of wood by the value per foot:
Worth of the trees = Total feet of wood x Value per foot
Worth of the trees = 1,000,950 feet x $80
Worth of the trees = $80,076,000
3. To find the total cost of recovering all the trees, we need to calculate the cost for each category of tree and then multiply it by the respective number of trees:
Cost for recovering 60 to 70-foot cypress trees = $375 x Number of trees
Cost for recovering larger trees = $500 x Number of trees (2/5 of the total number of trees)
Let's calculate each category separately:
Cost for recovering 60 to 70-foot cypress trees = $375 x 14,285 trees
Cost for recovering larger trees = $500 x (2/5) x 14,285 trees
Total cost to recover all the trees = Cost for recovering 60 to 70-foot cypress trees + Cost for recovering larger trees
Total cost to recover all the trees = ($375 x 14,285) + ($500 x (2/5) x 14,285)
To calculate the total length of wood, you need to multiply the number of trees by the average length of each tree.
1. Number of feet of wood:
Total feet of wood = Number of trees * Average length of each tree
Total feet of wood = 14,285 trees * 70 feet (average length)
Total feet of wood = 999,950 feet
So, Cape Fear Riverwood will have 999,950 feet of wood.
To calculate the value of the trees, you need to multiply the total length of wood by the price per foot.
2. Value of the trees:
Value of the trees = Total feet of wood * Price per foot
Value of the trees = 999,950 feet * $80 (price per foot)
Value of the trees = $79,996,000
So, the 14,285 trees are worth $79,996,000.
To calculate the total cost of recovering all the trees, you need to consider the different costs for different tree lengths.
3. Cost of recovering all the trees:
First, you need to find out how many trees are more than 70 feet long.
Number of trees more than 70 feet = 2/5 * 14,285 trees
Number of trees more than 70 feet = 5,714 trees
Cost to recover the trees of length 60-70 feet = $375 each
Cost to recover the trees of length more than 70 feet = $500 each
Total cost = (Number of trees of length 60-70 feet * Cost per tree) + (Number of trees of length more than 70 feet * Cost per tree)
Total cost = (8,571 trees * $375) + (5,714 trees * $500)
Total cost = $3,214,125 + $2,857,000
Total cost = $6,071,125
So, it would cost $6,071,125 to recover all the trees.