In a certain chemical manufacturing process, the daily weight y of defective chemical output depends on the total weight xof all output according to the empirical formula y = 0.07x + C0005x? 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.

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 = 0.07x + C.0005x²
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 = 0.07x + C.0005x² 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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