Suppose that production of 1 unit of mining requires 33/77 unit of mining, 22/77 unit of manufacturing, and 22/77 unit of communication. to produce 1 unit of manufacturing requires 55/77 unit of mining, 11/77 unit of manufacturing, and 11/77 unit of communication. to produce 1 unit of communication requires 0 units of mining, 11/77 unit of manufacturing, and 66/77 unit of communication. find the ratio of the three commodities in the closed model.

The ratio should be written as:

mining:manufacturing:communication

Since there are three varieties of ratio's, then there is a specific answer for each. For the first example, the ratio is written as:

33/77:22/77:22/77
To find the integer ratio, divide all numbers with the smallest value, 22/77. The ratio becomes: 1.5:1:1

For the second example,
55/77:11/77:11/77
To find the integer ratio, divide all numbers with the smallest value, 11/77. The ratio becomes: 5:1:1

For the third example,
0:11/77:66/77
For this, exclude the ratio for mining because if you use this as the value, then all the numbers would be zero. Instead, divide using 11/77. The ratio becomes: 6:1.