The sales team at a company has determined that the demand equation for a new tablet is: p(x) = -0.02x2 + 470 The cost function for the tablet is: C(x) = 224.1x + 1900  a.) Find the number of tablets that should be produced to maximize profit? b.) Find the maximum profit. Round to two decimals. c.) Find the price that maxmimizes profit. Round to two decimals.

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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The sales team at a company has determined that the demand equation for a new tablet is:

p(x) = -0.02x2 + 470

The cost function for the tablet is:

C(x) = 224.1x + 1900 

a.) Find the number of tablets that should be produced to maximize profit?

b.) Find the maximum profit. Round to two decimals.

c.) Find the price that maxmimizes profit. Round to two decimals. 

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