#Case 1, Algebra

The diet problem, one of the earliest applications of linear programming, was
originally used by hospitals to determine the most economical diet for patients.
Known in agricultural applications as the feed mix problem, the diet problem
involves specifying a food or feed ingredient combination that satisfies stated
nutritional requirements at a minimum cost level.

The Whole Food Nutrition Center uses three bulk grains to blend a natural cereal
that it sells by the pound. The store advertises that each 2-ounce serving of the
cereal meets an average adult’s minimum requirement for protein, riboflavin,
phosphorus, and magnesium. The cost of each bulk grain and the protein, riboflavin,
phosphorus, and magnesium units per pound are each shown in the table below:

Cost
per Protein Riboflavin Phosphorus Magnesium
Grain Pound (units/lb) (units/lb) (units/lb) (units/lb)

A 33¢ 22 16 8 5
B 47¢ 28 14 7 0
C 38¢ 21 25 9 6

A 2-ounce serving of cereal must have a minimum of 3 units of protein, 2 units of
riboflavin, 1 unit of phosphorus and 0.425 units of magnesium.

Define,

XA = pounds of grain A in one 2-ounce servings of cereal
XB = pounds of grain B in one 2-ounce servings of cereal
XC = pounds of grain C in one 2-ounce servings of cereal

Given the variables are defined as pounds in a 2-ounce servings, the optimal values
for XA, XB, and XC will be fractional, for example, we might find from the computer
solution that X = 0.100, X = 0.020, and X = 0.005
Posted Date: 10/30/2012 11:50:14 PM | Location : United States







Related Discussions:- #Case 1, Assignment Help, Ask Question on #Case 1, Get Answer, Expert's Help, #Case 1 Discussions

Write discussion on #Case 1
Your posts are moderated
Related Questions




i need help with an assignment that is about two variable inequalities


I am a first time algebra student and am confused. Can you give me step by step equations on how to calculate 5+2x=2x+6

In this section we are going to solve inequalities which involve rational expressions. The procedure for solving rational inequalities is closely identical to the procedure for sol

Here we'll be doing is solving equations which have more than one variable in them.  The procedure that we'll be going through here is very alike to solving linear equations that i

Linear Systems with Three Variables It is going to be a fairly short section in the sense that it's actually only going to contain a couple of examples to show how to take the