The production department will produce 200 boxes of healthy food which requires 90 kg of raw materials. The raw materials consist of corn and soybean flour. Ingredients Corn Soybean flour Nutrient content (grams for each kg of Cost (USD/kg) material) Calcium 0.001 0.002 Protein 0.09 0.60 Fiber Contains at least 30% protein Contains at most 5% fiber 0.02 0.06 The composition of the food must meet the following requirements: Contains at most 1% calcium You are asked to: a. Determine the decision variables and criteria variables. 0.20 0.60 5. Arrange the problem in a linear programming mathematical formulation so that it is formulated how much corn and soybeans should be purchased with minimum cost

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. The production department will produce 200 boxes of healthy food which requires
90 kg of raw materials. The raw materials consist of corn and soybean flour.
Ingredients
Nutrient content (grams for each kg ofCost (USD/kg)
material)
Calcium
Protein
Fiber
Corn
0.001
0.09
0.02
0.20
Soybean flour
0.002
0.60
0.06
0.60
The composition of the food must meet the following requirements:
Contains at most 1% calcium
Contains at least 30% protein
Contains at most 5% fiber
You are asked to:
a. Determine the decision variables and criteria variables.
Arrange the problem in a linear programming mathematical formulation so that
it is formulated how much corn and soybeans should be purchased with
minimum cost
Transcribed Image Text:1. The production department will produce 200 boxes of healthy food which requires 90 kg of raw materials. The raw materials consist of corn and soybean flour. Ingredients Nutrient content (grams for each kg ofCost (USD/kg) material) Calcium Protein Fiber Corn 0.001 0.09 0.02 0.20 Soybean flour 0.002 0.60 0.06 0.60 The composition of the food must meet the following requirements: Contains at most 1% calcium Contains at least 30% protein Contains at most 5% fiber You are asked to: a. Determine the decision variables and criteria variables. Arrange the problem in a linear programming mathematical formulation so that it is formulated how much corn and soybeans should be purchased with minimum cost
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