Question A toy company can sell x electronic gaming systems at a price of p(x) = -0.01x + 450 dollars per gaming system. The cost of manufacturing x electronic gaming systems is given by C(x) = 300x + 9000 dollars. Find the rate of change of profit when 1500 electronic gaming systems are produced. (The profit can be found by multiplying the price per gaming system by the number of electronic gaming systems sold then subtracting the cost from the price.) Provide your answer below: dollars per gaming system

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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A toy company can sell x electronic gaming systems at a price of p(x) = -0.01x + 450 dollars per gaming system. The cost
of manufacturing x electronic gaming systems is given by C(x) = 300x + 9000 dollars. Find the rate of change of profit
when 1500 electronic gaming systems are produced.
(The profit can be found by multiplying the price per gaming system by the number of electronic gaming systems sold then
subtracting the cost from the price.)
Provide your answer below:
dollars per gaming system
Transcribed Image Text:Question A toy company can sell x electronic gaming systems at a price of p(x) = -0.01x + 450 dollars per gaming system. The cost of manufacturing x electronic gaming systems is given by C(x) = 300x + 9000 dollars. Find the rate of change of profit when 1500 electronic gaming systems are produced. (The profit can be found by multiplying the price per gaming system by the number of electronic gaming systems sold then subtracting the cost from the price.) Provide your answer below: dollars per gaming system
Expert Solution
Step 1

Concept Used: Rate of change of profit

In a function, the rate of change compares the difference between two output values against the difference between two input values.

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