A chicken farmer uses a mixture of chicken feeds, Chicken's Best and Chicken's Meal. Each ounce of Chicken's Best contains 12 grams of protein and 2 grams of fat. Chicken's Meal contains 6 grams of protein and one gram of fat. Chicken's Best cost P7 per ounce while Chicken' Meal cost P5 per ounce. Each bag of chicken farmer must contain at least 60 grams of protein and 8 grams of fats. Determine the number of ounces Chicken's Best and Chicken's Meal feed that will produce a mixture satisfying the give restrictions at minimum cost. Mixture Cost per unit OBJECTIVE FUNCTION: CONSTRAINTS: a. b. c. Non-negativity constraints Coordinates Constraint a Let x = 0 Constraint b. Let x=0 y= y= Let y-0 Let y = 0 x = Determine the optimal solutions: Points Coordinates x= Hours per unit Sign Requirement 2. Objective function equations Profits How many units of each brand must be produced to minimize cost? Determine the number of resources that will be used and the slack for each of the process. Constraints Used Available Slack
A chicken farmer uses a mixture of chicken feeds, Chicken's Best and Chicken's Meal. Each ounce of Chicken's Best contains 12 grams of protein and 2 grams of fat. Chicken's Meal contains 6 grams of protein and one gram of fat. Chicken's Best cost P7 per ounce while Chicken' Meal cost P5 per ounce. Each bag of chicken farmer must contain at least 60 grams of protein and 8 grams of fats. Determine the number of ounces Chicken's Best and Chicken's Meal feed that will produce a mixture satisfying the give restrictions at minimum cost. Mixture Cost per unit OBJECTIVE FUNCTION: CONSTRAINTS: a. b. c. Non-negativity constraints Coordinates Constraint a Let x = 0 Constraint b. Let x=0 y= y= Let y-0 Let y = 0 x = Determine the optimal solutions: Points Coordinates x= Hours per unit Sign Requirement 2. Objective function equations Profits How many units of each brand must be produced to minimize cost? Determine the number of resources that will be used and the slack for each of the process. Constraints Used Available Slack
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A chicken farmer uses a mixture of chicken feeds, Chicken's Best and Chicken's Meal. Each ounce of Chicken's Best
contains 12 grams of protein and 2 grams of fat. Chicken's Meal contains 6 grams of protein and one gram of fat.
Chicken's Best cost P7 per ounce while Chicken' Meal cost P5 per ounce. Each bag of chicken farmer must contain at
least 60 grams of protein and 8 grams of fats. Determine the number of ounces Chicken's Best and Chicken's Meal feed
that will produce a mixture satisfying the give restrictions at minimum cost.
Mixture
Cost per unit
OBJECTIVE FUNCTION:
CONSTRAINTS:
a.
b.
c. Non-negativity constraints=
Coordinates
Constraint a
Let x=0
Constraint b.
Let x=0
y=
y=
Let y = 0
Let y = 0
x=
Determine the optimal solutions:
Points
Coordinates
x=
Hours per unit
Sign
Requirement
2.
Objective function equations
Profits
How many units of each brand must be produced to minimize cost?
Determine the number of resources that will be used and the slack for each of the process.
Constraints
Used
Available
Slack
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