1) A soft drink sales person analyzes her sales record and learns that if she sells c cans of soda in one day, her profit in dollars is given by P(c) = -0.002c² + 8c – 3600. a) Find P(2500) and explain its meaning. b) How many cans must she sell for maximum profit? c) What is the maximum profit per day?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) A soft drink sales person analyzes her sales record and learns that if she sells c cans of soda in one day,
her profit in dollars is given by P(c) = -0.002c² + 8c – 3600.
a) Find P(2500) and explain its meaning.
b) How many cans must she sell for maximum profit?
c) What is the maximum profit per day?
Transcribed Image Text:1) A soft drink sales person analyzes her sales record and learns that if she sells c cans of soda in one day, her profit in dollars is given by P(c) = -0.002c² + 8c – 3600. a) Find P(2500) and explain its meaning. b) How many cans must she sell for maximum profit? c) What is the maximum profit per day?
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