Suppose each of three construction industries—dwellings construction, roads and bridges construction, and public and private businesses construction—requires the following input in order to produce one dollar in output.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose each of three construction industries—dwellings construction, roads and bridges construction, and public and private businesses construction—requires the following input in order to produce one dollar in output.
 

  • The dwellings construction industry requires nothing from itself, 3/10 of a dollar from roads and bridges construction, and 1/4 of a dollar from public and private businesses construction.

  • The roads and bridges construction industry requires 3/8 of a dollar from dwellings construction, none from itself, and 2/5 of a dollar from public and private businesses construction.

  • The public and private businesses construction industry requires 1/10 of a dollar from dwellings construction, 1/6 of a dollar from roads and bridges construction, and none from itself.


Suppose further that the total production capacity of the dwellings construction industry is $360, of roads and bridges construction is $480, and of public and private businesses construction is $420. Find the external demand that can be met using the total production capacity of the system. Write the exact answer. Do not round.

The image contains three labeled boxes with empty spaces accompanying dollar signs, indicating financial figures related to construction activities. Here are the details:

1. The first box is labeled "from dwellings construction," which signifies amounts earned or spent from the construction of residential buildings.

2. The second box is labeled "from roads and bridges construction," representing the financial figures associated with infrastructure projects, specifically roads and bridges.

3. The third box is labeled "from public and private businesses construction," indicating the amounts related to the construction of both public and private business facilities.

Each of these segments is intended to reflect data regarding construction expenses or revenues in their respective categories. The empty boxes suggest the need for input or illustration of specific financial figures.
Transcribed Image Text:The image contains three labeled boxes with empty spaces accompanying dollar signs, indicating financial figures related to construction activities. Here are the details: 1. The first box is labeled "from dwellings construction," which signifies amounts earned or spent from the construction of residential buildings. 2. The second box is labeled "from roads and bridges construction," representing the financial figures associated with infrastructure projects, specifically roads and bridges. 3. The third box is labeled "from public and private businesses construction," indicating the amounts related to the construction of both public and private business facilities. Each of these segments is intended to reflect data regarding construction expenses or revenues in their respective categories. The empty boxes suggest the need for input or illustration of specific financial figures.
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