2. (4.6) penicillin is sold at a price of $200 per unit. The production cost (in dollars) for x units is C(x) 500,000+80x +0.003x2. The production capacity is at most 30,000 units. Determine how many units of penicilin should be manufactured and sold to maximize profit? Verify your answer by the following a. (4.3) First derivative test b. (4.3) Second derivative test. c. (4.1) Comparing critical numbers and endpoints

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2. (4.6) penicillin is sold at a price of $200 per unit. The production cost (in dollars) for x units
is C(x) 500,000+80x +0.003x2. The production capacity is at most 30,000 units.
Determine how many units of penicilin should be manufactured and sold to maximize
profit? Verify your answer by the following
a. (4.3) First derivative test
b. (4.3) Second derivative test.
c. (4.1) Comparing critical numbers and endpoints
Transcribed Image Text:2. (4.6) penicillin is sold at a price of $200 per unit. The production cost (in dollars) for x units is C(x) 500,000+80x +0.003x2. The production capacity is at most 30,000 units. Determine how many units of penicilin should be manufactured and sold to maximize profit? Verify your answer by the following a. (4.3) First derivative test b. (4.3) Second derivative test. c. (4.1) Comparing critical numbers and endpoints
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