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Experiments show that the quantities x of corn and y of soybean required to produce a hog of weight Q satisfy Q = 0.5x1/2y1/4. The unit of x, y, and Q is the cwt, an agricultural unit equal to 100 lb. Find the values of x and y that minimize the cost of a hog of weightQ = 2.5 cwt if corn costs $3/cwt and soy costs $7/cwt.

Experiments show that the quantities x of corn and y of soybean required to produce a hog of weight Q satisfy Q = 0.5x1/2y1/4. The unit of x, y, and Q is the cwt, an agricultural unit equal to 100 lb. Find the values of x and y that minimize the cost of a hog of weightQ = 2.5 cwt if corn costs $3/cwt and soy costs $7/cwt.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Experiments show that the quantities x of corn and y of soybean required to produce a hog of weight Q satisfy Q = 0.5x1/2y1/4. The unit of x, y, and Q is the cwt, an agricultural unit equal to 100 lb. Find the values of x and y that minimize the cost of a hog of weightQ = 2.5 cwt if corn costs $3/cwt and soy costs $7/cwt.

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