#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

Related Discussions:- #Case 1

Example of earthquake intensity, Example    If 8 ×10 14  joules of energy ...

Example    If 8 ×10 14  joules of energy is released at the time of an earthquake what was the magnitude of the earthquake? Solution There actually isn't much to do here o

Writing linear equations, If you sell a kayak for $400 and your sales per d...

If you sell a kayak for $400 and your sales per day averages $5200. Assume the sales per day is a linear function of price of kayak. write an equation describing the relationship.

Vertical asymptote, Vertical asymptote In our graph as the value of x a...

Vertical asymptote In our graph as the value of x approaches x = 0 the graph begin gets extremely large on both sides of the line given by x = 0. This line is called a vertical

Word Problem, A student rented a bicycle for a one-time fee of $12.00 and t...

A student rented a bicycle for a one-time fee of $12.00 and then a charge of $0.85 per day.She paid $28.15 for the use of the bicycle. How many days did she keep it?

6 Questions, Scores on a statewide standardized test are normally distribut...

Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the t

Sail boating, How did they get an answer of 4.24899(-6) the question isc=4d...

How did they get an answer of 4.24899(-6) the question isc=4d(-1)/3.b. I now i substitute 23,245 for d and 13.5 for b, but don''t understand how they got this answer?

Complex number, let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z...

let x,y,z be the complex number such that x+y+z=2,x^2+y^2+z^=3,x*y*z=4,then 1/(x*y+z-1)+1/(x*z+y-1)+1/(y*z+x-1) is

Absolute value, We've dealt along with this function many times already. No...

We've dealt along with this function many times already. Now it's time to graph it. First, let's remember ourselves of the definition of the absolute value function. It is a pie

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd