#Case 1, The diet problem, one of the earliest applications of linear programming, was , Algebra

#Case 1, Algebra

Assignment Help:

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

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages

#Case 1, Algebra

Related Discussions:- #Case 1

Problem solving, Taylor is 7 years younger than Lisa Lila is 3 x Lisa''s ag...

Algebraic expression, how to convert algebraic expression word to number TH...

Logarithmic function, log(mn)

Multipying and dividing rational expressions, 5n^2)___ multiplied (...

Polynomilas, i dont get them i need help

Linear and quadratic solved by factoring, x^2+11x+24=0

Rings homomorphisms, if A is an ideal and phi is onto S,then phi(A)is an id...

Quiz, Solve 2x2 = 128. (Points : 1) {±8} {±6} {±64} ...

Help..., I am a 14 year old 9th grade Freshmen, I seriously need help. I am...

Approximate.., (^5square root of 38)^3 Round your answer to 2 decimal place...

Write Your Message!

Featured Services

Online Tutoring

Project Development

Exam Preparation

Course Help

Assignment Help

Popular Subjects

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT