1) Suppose for a certain product, an analyst determines that the Marginal Profit function is P'(x) = 64 – 0.016x and identifies the fixed costs at $50000. a) Discuss and determine what specific piece of information we know based on the fixed cost value. b) Construct the specific form of the Profit function, P(x). c) Find the maximum profits the analyst projects can be earned on this product.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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1) Suppose for a certain product, an analyst determines that the Marginal Profit function is
P'(x) = 64 – 0.016x and identifies the fixed costs at $50000.
a) Discuss and determine what specific piece of information we know based on the fixed cost value.
b) Construct the specific form of the Profit function, P(x).
c) Find the maximum profits the analyst projects can be earned on this product.
Transcribed Image Text:1) Suppose for a certain product, an analyst determines that the Marginal Profit function is P'(x) = 64 – 0.016x and identifies the fixed costs at $50000. a) Discuss and determine what specific piece of information we know based on the fixed cost value. b) Construct the specific form of the Profit function, P(x). c) Find the maximum profits the analyst projects can be earned on this product.
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