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. STATE WHETHER THE FOLLOWING ANSWERS ARE "0", "0.1", "0.2", "0.3", "0.4", "0.5", OR "0.6". THESE ARE THE ONLY ANSWERS POSSIBLE.

1.) The RHS is   

2.) The coefficient of X is

3.) The coefficient of Y is   

4.) The coefficient of Z is

FOR THE NEXT QUESTION, PLEASE ANSWER IF THE STATEMENT IS TRUE OR FALSE.

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

Explanation / Answer

Max z= .15x1 +.45x2 +.15x3

subject to:

x1+ x2+ x3 >=.55

x1, x2, x3 >= 0

RHS = 0

x= 0

y = .20

z= .30

>= Is true because we are looking for "at least" .55 iron required

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