#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

One of my homework questions ask to find the slope and y-intercept of a table and I''ve tried quite a few methods and just can''t figure it out. PLEASE HELP!!





The difference of two numbers is 18. The larger number is four more than twice the smaller. What are the numbers?

Do you have any helpful hints for solving equations?

Give all solutions of the nonlinear system of equations including those with nonreal complex compents: xy=-20 3x+5y=5