Consider a constraint that represents the use of an essential nutritional resour

Question

Consider a constraint that represents the use of an essential nutritional resource in an LP. There are 3 variables-- X, Y, and Z. The resource constraint is a nutritional requirement for iron in a diet. It states that each unit of each variable contributes a percentage of iron to a diet. The percentages are 0.25, 0.45, and 0.15 for the variables X, Y, and Z, respectively. The iron required, as a fraction or the total content of X, Y, and Z, must be at least 0.55.

Convert these relationships into a constraint with variables on the LHS and a constant on the RHS. The answer to each question CAN ONLY BE either "0", "0.1", "0.2","0.3", "0.4", "0.5", or "0.6".

1.) The RHS is

2.) The coefficient of X is

3.) The coefficient of Y is

4.) The coefficient of Z is   

For the following question, the answer will be True or False.

5.) The form of the expression that separates the LHS and RHS is ">="   

Explanation / Answer

In the question, percentage of iron to a diet are 0.25, 0.45, and 0.15 for the variables X, Y, and Z, respectively and The iron required, as a fraction or the total content of X, Y, and Z, must be at least 0.55.

Therefore, constraint is

0.25X+0.45Y+0.15Z >=0.55

1) The RHS is 0.55

2) The coefficient of X is 0.25

3) The coefficient of Y is 0.45

4) The coefficient of Z is 0.15

5) The form of the expression that separates the LHS and RHS is ">=" . It is True.

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