(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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge
gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-1(n + 3)-1
is equal to one.
(4) Given matrix A =
G), and that h(T) = T² – 2T – 7, find h(T).
%3D
5
Transcribed Image Text:(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in Unit 1 and 2, verify whether the limit to infinity of n(n + 1)(n + 2)-1(n + 3)-1 is equal to one. (4) Given matrix A = G), and that h(T) = T² – 2T – 7, find h(T). %3D 5
(1) The revenue for a product is R(x) = -0.004x² + 21x
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?
6200 and the
1- x
0 < x<1
1<x < 3
x 2 3
(2) Find all the points of discontinuity of the function S(x) = { x + 2
x² – 4
Transcribed Image Text:(1) The revenue for a product is R(x) = -0.004x² + 21x 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? 6200 and the 1- x 0 < x<1 1<x < 3 x 2 3 (2) Find all the points of discontinuity of the function S(x) = { x + 2 x² – 4
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