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A logging company fells a tree and sells it to a paper mill for $100. The paper mill processes the tree into paper and sells it to a book publisher for $300. The book publisher uses the paper to print a novel, which is then sold to a bookstore for $600. The bookstore sells the novel to a customer for $1200. What is the value added at each stage of production, and what is the total value added (which should equal GDP)?

Question

A logging company fells a tree and sells it to a paper mill for 100.Thepapermillprocessesthetreeintopaperandsellsittoabookpublisherfor100. The paper mill processes the tree into paper and sells it to a book publisher for 300. The book publisher uses the paper to print a novel, which is then sold to a bookstore for 600.Thebookstoresellsthenoveltoacustomerfor600. The bookstore sells the novel to a customer for 1200. What is the value added at each stage of production, and what is the total value added (which should equal GDP)?

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Solution 1

The value added at each stage of production is calculated by subtracting the cost of the raw materials from the selling price.

  1. Logging company: The logging company sells the tree for 100.Sincetherearenorawmaterialsinvolvedinthisstage(weassumethecostofthetreeseedandplantingitisnegligible),thevalueaddedis100. Since there are no raw materials involved in this stage (we assume the cost of the tree seed and planting it is negligible), the value added is 100.

  2. Paper mill: The paper mill buys the tree for 100andsellsthepaperfor100 and sells the paper for 300. The value added is 300300 - 100 = $200.

  3. Book publisher: The book publisher buys the paper for 300andsellstheprintednovelfor300 and sells the printed novel for 600. The value added is 600600 - 300 = $300.

  4. Bookstore: The bookstore buys the novel for 600andsellsittoacustomerfor600 and sells it to a customer for 1200. The value added is 12001200 - 600 = $600.

The total value added, which equals the GDP, is the sum of the value added at each stage. So, the total value added is 100(loggingcompany)+100 (logging company) + 200 (paper mill) + 300(bookpublisher)+300 (book publisher) + 600 (bookstore) = $1200.

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Solution 2

The value added at each stage of production is calculated as the difference between the value of the output and the value of the input at each stage.

  1. Logging company: The value added is 100becausethetreeisvaluedat100 because the tree is valued at 100 and there is no input cost mentioned.

  2. Paper mill: The value added is 200(200 (300 - 100).Thepapermillboughtthetreefor100). The paper mill bought the tree for 100 and sold the paper for $300.

  3. Book publisher: The value added is 300(300 (600 - 300).Thebookpublisherboughtthepaperfor300). The book publisher bought the paper for 300 and sold the book for $600.

  4. Bookstore: The value added is 600(600 (1200 - 600).Thebookstoreboughtthebookfor600). The bookstore bought the book for 600 and sold it to the customer for $1200.

The total value added, which equals the GDP, is the sum of the value added at each stage.

Total value added = 100(loggingcompany)+100 (logging company) + 200 (paper mill) + 300(bookpublisher)+300 (book publisher) + 600 (bookstore) = $1200.

So, the total value added (GDP) is $1200.

This problem has been solved

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