The Greatest Generation Food Company wishes to introduce a new brand of pureed ready-to-eat meals (composed of pureed chicken and pureed liver meat products)that meets certain nutritional requirements.The liver-flavored product contains 1 unit of nutrient A and 2 units of nutrient B, while the chicken-flavored product contains 1 unit of nutrient A and 4 units of nutrient B.According to federal requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new meals.In addition, the company has decided that there can be no more than 15 units of liver-flavored meat product in a package.It costs 1 cent to make a liver-flavored product and 2 cents to make a chicken-flavored product.Are there any redundant constraints in this scenario?
A)L + C ≤ 100
B)L + 2C ≥ 40
C)Minimize 2L + 4C ≥ 60
D)There are no redundant constraints.

Question

Quizplus · Accepted Answer

Constraint B is not needed because it is already implied by constraint C. Constraint B states that there must be at least 1 unit of nutrient A and 4 units of nutrient B in a package of the new meals, but this is already ensured by the fact that the chicken-flavored product contains 1 unit of nutrient A and 4 units of nutrient B. Constraint C is a more specific formulation of this requirement, so constraint B is redundant.

The Greatest Generation Food Company Wishes to Introduce a New