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Homework answers / question archive / Write the constraint described by each of the following statements,1-8

Write the constraint described by each of the following statements,1-8

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Write the constraint described by each of the following statements,1-8. Variable terms should all be on the left side of the constraint followed by the correct inequality or equality symbol and the right side should be a numeric value. I recommend using the equation writer in Word under the Insert tab.
Example 1: The ratio of  t can be no more than 3 to 4.
Write out what the constraint describes:
The first part of the constraint states the ratio of  t, which is written as .
The second part states the ration "can be no more than", which means it has to less than or equal what follows, .
The third part gives another ratio, 3 to 4 or .
Then put the three parts of the constraint together,  .
We need to linearize the expression by getting each variable isolated. If we have x*y or x/y (same as x * 1/y), where x and y represent any variable. The expression is not linear when variables are multiplied together.
Cross multiply to remove the ratios and linearize the expression:  
The proper format of a constraint is to consolidate the variable terms to the left of the inequality and numeric terms consolidated to the right of the inequality.
Simplify to get the equation in the correct format:
Example 2: A has to be at least 75 percent of the mix. The mix includes two components A and B.
Expressing the description of the constraint in math.
Left side
Inequality
Right Side
A
≥ (has to be at least)
0.75(A+B)
1)The total production of  x1, x2, and x3and  must be at least 120 units

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