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A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2% fat, and 5% sugar (by weight). The cereal is to be produced by combining four items of raw food material in appropriate proportions. These four items are named A, B, C, D and they have certain combinations of fiber, fat, and sugar content, and are available at various prices per pound: Item Fiber Fat Sugar Price/lb A 4 LO 5 13 2 B 6 26 4 4 с 12 9 5 1 D 3 8 0 2 The manufacturer wishes to find the amounts of each item to be used to produce the cereal in the least expensive way. Formulate the problem as a linear programming problem.

A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2% fat, and 5% sugar (by weight). The cereal is to be produced by combining four items of raw food material in appropriate proportions. These four items are named A, B, C, D and they have certain combinations of fiber, fat, and sugar content, and are available at various prices per pound: Item Fiber Fat Sugar Price/lb A 4 LO 5 13 2 B 6 26 4 4 с 12 9 5 1 D 3 8 0 2 The manufacturer wishes to find the amounts of each item to be used to produce the cereal in the least expensive way. Formulate the problem as a linear programming problem.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2% fat, and 5% sugar (by weight). The cereal is to be produced by combining four items of raw food material in appropriate proportions. These four items are named A, B, C, D and they have certain combinations of fiber, fat, and sugar content, and are available at various prices per pound: Item Fiber Fat Sugar Price/lb A 4 LO 5 13 2 B 6 26 4 4 с 12 9 5 1 D 3 8 0 2 The manufacturer wishes to find the amounts of each item to be used to produce the cereal in the least expensive way. Formulate the problem as a linear programming problem.
Transcribed Image Text:A cereal manufacturer wishes to produce 1000 pounds of a cereal that contains exactly 10% fiber, 2% fat, and 5% sugar (by weight). The cereal is to be produced by combining four items of raw food material in appropriate proportions. These four items are named A, B, C, D and they have certain combinations of fiber, fat, and sugar content, and are available at various prices per pound: Item Fiber Fat Sugar Price/lb A 4 LO 5 13 2 B 6 26 4 4 с 12 9 5 1 D 3 8 0 2 The manufacturer wishes to find the amounts of each item to be used to produce the cereal in the least expensive way. Formulate the problem as a linear programming problem.
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