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

Ans: Constraint will be:

0.25X+0.45Y+0.15Z>=0.55(X+Y+Z)

(0.25-0.55)X+(0.45-0.55)Y+(0.15-0.55)Z>=0

-0.3X-0.1Y-0.4Z>=0

0.3X+0.1Y+0.4<=0

LHS<=RHS

1.) The RHS is =0

2.) The coefficient of X is=0.3

3.) The coefficient of Y is=0.1

4.) The coefficient of Z is =0.4

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

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