A company has 100 units to spend on equipment and labour combined. company spends x units on equipment and 100 The -x units on labour, enabling it to produce Q items where dg 150- O = g(x) = 5xº³(100 – x)0.8 with %3D dx x0.7(100 – x)0.2 4.1 What is the domain of the function if Q> 0? 4.2 How much should the company spend on equipment and on labour to maximise production?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A
has 100 units to spend on equipment and labour combined.
company spends x units on equipment and 100 – x units on labour, enabling it to produce Q items where
company
The
150 -
11
Q - g(x) = 5xº³(100 – x)08 with
dg
p07(100 – x)02 *
%3D
dx
4.1 What is the domain of the function if O> 0?
4.2 How much should the company spend on equipment and on labour to maximise production?
Transcribed Image Text:A has 100 units to spend on equipment and labour combined. company spends x units on equipment and 100 – x units on labour, enabling it to produce Q items where company The 150 - 11 Q - g(x) = 5xº³(100 – x)08 with dg p07(100 – x)02 * %3D dx 4.1 What is the domain of the function if O> 0? 4.2 How much should the company spend on equipment and on labour to maximise production?
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