1) The revenue for a product is R(x) = -0.004x² + 21x ost is C(x) = 0.02x + 38, for x units produced and sold. a) Find the marginal profit for 2800 units. b) Should output be increased or decreased to generate a higher profit? 6200 and the -

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) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the
cost is C(x) = 0.02x + 38, for x units produced and sold.
(a) Find the marginal profit for 2800 units.
(b) Should output be increased or decreased to generate a higher profit?
´1- x
0 <x<1
(2) Find all the points of discontinuity of the function S(x) ={x+ 2
1<x< 3
(x² – 4
x2 3
Transcribed Image Text:(1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold. (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit? ´1- x 0 <x<1 (2) Find all the points of discontinuity of the function S(x) ={x+ 2 1<x< 3 (x² – 4 x2 3
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