2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open a store at location (x, y). If the search is restricted to the region D = {(x, y) E R² : x² < y < 4} as shown below, determine which location yields the maximum profit and which location yields the minimum profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. A cafe estimates a monthly profit (in thousand pesos) of
P(x, y) = 27 – x² – y? + 6y
if they open a store at location (x, y). If the search is restricted to the region
= {(x, y) € R² : a² < y <4}
as shown below, determine which location yields the maximum profit and which location
yields the minimum profit.
Transcribed Image Text:2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x² – y? + 6y if they open a store at location (x, y). If the search is restricted to the region = {(x, y) € R² : a² < y <4} as shown below, determine which location yields the maximum profit and which location yields the minimum profit.
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