Question 34 Frontline Agricultural Processing Systems uses several ingredients to make wheat crackers. After several years of operations and testing, their scientists found high protein and carbohydrates in two of their ingredients, barley and corn. While an ounce of barley costs $0.25, an ounce of corn costs $0.46. While an ounce of barley provides 9 mg of protein and 1 mg of carbohydrates, an ounce of corn provides 7 mg of protein and 5 mg of carbohydrates. Recently, demand for wheat crackers has increased. To lower the overall cost of producing wheat crackers, Frontline Agricultural Processing Systems will want to know how many ounces of barley and corn to include in each box of wheat crackers to meet the minimum requirements of 160 milligrams of protein and 40 milligrams of carbohydrates. If the carbohydrate requirement is reduced by 2 milligrams, how much reduction would the optimal cost change by? Round to 2 decimal places.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
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Question 34
Frontline Agricultural Processing Systems uses several ingredients to make wheat
crackers. After several years of operations and testing, their scientists found high
protein and carbohydrates in two of their ingredients, barley and corn. While an
ounce of barley costs $0.25, an ounce of corn costs $0.46. While an ounce of barley
provides 9 mg of protein and 1 mg of carbohydrates, an ounce of corn provides 7 mg
of protein and 5 mg of carbohydrates. Recently, demand for wheat crackers has
increased. To lower the overall cost of producing wheat crackers, Frontline
Agricultural Processing Systems will want to know how many ounces of barley and
corn to include in each box of wheat crackers to meet the minimum requirements of
160 milligrams of protein and 40 milligrams of carbohydrates.
If the carbohydrate requirement is reduced by 2 milligrams, how much reduction
would the optimal cost change by? Round to 2 decimal places.
Transcribed Image Text:Question 34 Frontline Agricultural Processing Systems uses several ingredients to make wheat crackers. After several years of operations and testing, their scientists found high protein and carbohydrates in two of their ingredients, barley and corn. While an ounce of barley costs $0.25, an ounce of corn costs $0.46. While an ounce of barley provides 9 mg of protein and 1 mg of carbohydrates, an ounce of corn provides 7 mg of protein and 5 mg of carbohydrates. Recently, demand for wheat crackers has increased. To lower the overall cost of producing wheat crackers, Frontline Agricultural Processing Systems will want to know how many ounces of barley and corn to include in each box of wheat crackers to meet the minimum requirements of 160 milligrams of protein and 40 milligrams of carbohydrates. If the carbohydrate requirement is reduced by 2 milligrams, how much reduction would the optimal cost change by? Round to 2 decimal places.
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