An espresso stand finds that its weekly profit is a function of the price, a, it charges per cup. If z is in dollars, the weekly profit is P(z)-2900x² + 8700x-4815.75 dollars. (a) The espresso stand's current price is $1.8 for each cup of espresso. This means their current weekly profit is $ (round to the nearest cent). (b) The maximum possible weekly profit is $ -5511.75 (round to the nearest cent and do not include any commas in your answer). (c) What is the price per cup that will produce the maximum profit? The espresso stand should reduce their price by cents and choose a price of $ for each cup in order to maximize profit.
An espresso stand finds that its weekly profit is a function of the price, a, it charges per cup. If z is in dollars, the weekly profit is P(z)-2900x² + 8700x-4815.75 dollars. (a) The espresso stand's current price is $1.8 for each cup of espresso. This means their current weekly profit is $ (round to the nearest cent). (b) The maximum possible weekly profit is $ -5511.75 (round to the nearest cent and do not include any commas in your answer). (c) What is the price per cup that will produce the maximum profit? The espresso stand should reduce their price by cents and choose a price of $ for each cup in order to maximize profit.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An espresso stand finds that its weekly profit is a function of the price, z, it charges per cup. If z is in dollars, the weekly profit is
P(x)= -2900z²+8700z-4815.75 dollars.
=
(a) The espresso stand's current price is $1.8 for each cup of espresso. This means their current weekly profit is $ (round to the
nearest cent).
(b) The maximum possible weekly profit is $-5511.75 (round to the nearest cent and do not include any commas in your answer).
(c) What is the price per cup that will produce the maximum profit?
The espresso stand should reduce their price by
$01
cents and choose a price of $
for each cup in order to maximize profit.
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