Ina certain chemical manufacturing process, the daily weight yof defective chemical output depends on the total weight x of all output according to the empirical formula y = 0.06x + 0.0005x² where xand 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. ! pounds maximizes the total daily profit. i

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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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 + 0.0005x
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.
! 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 + 0.0005x 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. ! pounds maximizes the total daily profit.
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