A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total production cost in dollars for x units is C(x) = 100,000 + 300x + 0.01875x², and if the daily production capacity is at most 5000 units, how many units of sulfuric acid must be manufactured and sold daily to maximize the profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 15E
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A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total production cost in dollars for x units is
C(x) = 100,000 + 300x + 0.01875x²,
and if the daily production capacity is at most 5000 units, how many units of sulfuric acid must be manufactured and sold daily to
maximize the profit?
Manufacturing and selling i
units each day maximizes profit.
Transcribed Image Text:A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total production cost in dollars for x units is C(x) = 100,000 + 300x + 0.01875x², and if the daily production capacity is at most 5000 units, how many units of sulfuric acid must be manufactured and sold daily to maximize the profit? Manufacturing and selling i units each day maximizes profit.
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