The total revenue and total cost (both in dollars) for selling q Objects are given by TR(q) 800g – q² and TC (q) = 400 + 173q. %3D -

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is question 5 from my homework, please help me!

The total revenue and total cost (both in dollars) for selling q
Objects are given by
TR(q) = 800q – ď and TC (q) = 400 + 173q.
%3|
TR
TC
quantity (in Objects)
Find the longest interval on which total revenue is increasing
and profit is decreasing.
There is no such interval.
O from q=0 to q=6.45
O from q=0 to q=313.5
O from q=6.45 to q=620.55
O from q=6.45 to q=400
O from q=173 to q=400
O from q=313.5 to q=400
O Such an interval exists but it is not one of those listed here.
O from q=0 to q=86.5
Transcribed Image Text:The total revenue and total cost (both in dollars) for selling q Objects are given by TR(q) = 800q – ď and TC (q) = 400 + 173q. %3| TR TC quantity (in Objects) Find the longest interval on which total revenue is increasing and profit is decreasing. There is no such interval. O from q=0 to q=6.45 O from q=0 to q=313.5 O from q=6.45 to q=620.55 O from q=6.45 to q=400 O from q=173 to q=400 O from q=313.5 to q=400 O Such an interval exists but it is not one of those listed here. O from q=0 to q=86.5
Expert Solution
Step 1

when a function is increasing its derivate is >0

but when its decreasing its <0

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