In a certain chemical manufacturing process, the daily weight y of defective chemical output depends on the total weightx of all output according to the empirical formula y = 0.06x + 0.0006x² wherex and y are in pounds. If the profit is $400 per pound of non-defective chemical produced and the loss is $80 per pound of defective chemical produced, how many pounds of chemical should be produced daily to maximize the total daily profit? Round your answer to the nearest integer. i pounds maximizes the total daily profit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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In a certain chemical manufacturing process, the daily weight y of defective chemical output depends on the total weight x of all
output according to the empirical formula
y = 0.06x + 0.0006x²
where x and y are in pounds. If the profit is $400 per pound of non-defective chemical produced and the loss is $80 per pound of
defective chemical produced, how many pounds of chemical should be produced daily to maximize the total daily profit?
Round your answer to the nearest integer.
i
pounds maximizes the total daily profit.
Transcribed Image Text:In a certain chemical manufacturing process, the daily weight y of defective chemical output depends on the total weight x of all output according to the empirical formula y = 0.06x + 0.0006x² where x and y are in pounds. If the profit is $400 per pound of non-defective chemical produced and the loss is $80 per pound of defective chemical produced, how many pounds of chemical should be produced daily to maximize the total daily profit? Round your answer to the nearest integer. i pounds maximizes the total daily profit.
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