#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

Find value of, xifx+6=33..

Alegebra 2 word problems, techniques for creating equations for algebra ...

Pythagorean theorem, how do you find the value of x in simplified radical?

Solving quadratic functions, Sum of two numbers is 10 and their multipicati...

Sequencing, What is the fourth term in t^n= -2(2)^n-1

Direct variation, is force applied to the brakes on a car, and stopping dis...

Real numbers, (b+a)+[-(a+0+b)]=0

MATHHH HELPPP, the sum of three consecutive odd integers is -195. find the ...

Series and squence, how to do it

Algebra 1, how do i find the slope of a parallel line on a graph?

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