Government economists in a certain country have determined that the demand equation for soybeans is given by   p = f(x) = 56/(2x^2+1)   where the unit price p is expressed in dollars per bushel and x, the quantity demanded per year, is measured in billions of bushels. The economists are forecasting a harvest of 1.5 billion bushels for the year, with a possible error of 10% in their forecast. Use differentials to approximate the corresponding error in the predicted price per bushel of soybeans. (Round your answer to one decimal place.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Government economists in a certain country have determined that the demand equation for soybeans is given by
 
p = f(x) = 56/(2x^2+1)
 
where the unit price p is expressed in dollars per bushel and x, the quantity demanded per year, is measured in billions of bushels. The economists are forecasting a harvest of 1.5 billion bushels for the year, with a possible error of 10% in their forecast. Use differentials to approximate the corresponding error in the predicted price per bushel of soybeans. (Round your answer to one decimal place.)
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