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 will 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

Answer to the question)

The equation is :

0.25X +0.45Y +0.15Z > = .0.55

[25% comes from X , 45% comes from Y , 15% comes from Z and it has to be atleast 55% , thsu the > = symbol is used

.

Now let us answer the questions

As per the instructions the answer can be : 0 , 0.1 , 0.2 , 0.3 , 0.4 , 0.5 , 0.6

.

1) Thus RHS = 0.55 ~ 0.6

2) Coefficient of X is : 0.25 ~ 0.3

3) coefficient of Y is : 0.45 ~ 0.5

4) Coefficient of Z is : 0.15 ~ 0.2

5) the symbol used between RHS and LHS is : ">="

This statement is TRUE

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