onsider a constraint that represents the use of an essential nutritional resourc

Question

onsider 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 RHS is  
The coefficient of X is  
The coefficient of Y is  
The coefficient of Z is  
The form of the expression that separates the LHS and RHS is ">=" (True of False)

Explanation / Answer

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.

So the coefficient of x is 0.25

coefficient of y is 0.45

coefficient of z is 0.15

And hence the LHS is 0.25x+0.45y+0.15z

The iron required, as a fraction or the total content of X, Y, and Z, must be at least 0.55.

that is the quantity 0.25x+0.45y+0.15z must be atleat 0.55

So it can be written mathematically as 0.25x+0.45y+0.15z >= 0.55

Thus RHS is 0.55 and symbol >= is true

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.