A record store is deciding on what price to sell its basic used cds and lps for. The profit model is P(x, y) = e e9x+10y-x²-y²-33 dollars per month where x is the price per cd (in dollars) and y is price per lp (in dollars). To maximize profit the store store should charge: dollars dollars per cd, per lp. The maximum profit earned in a month is: dollars.

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 record store is deciding on what price to sell its basic used CDs and LPs for. The profit model is

\[ P(x, y) = e^{9x + 10y - x^2 - y^2 - 33} \]

dollars per month

where \( x \) is the price per CD (in dollars) and \( y \) is price per LP (in dollars).

To maximize profit, the store should charge:

\[ \text{[ ]} \] dollars per CD,

\[ \text{[ ]} \] dollars per LP.

The maximum profit earned in a month is:

\[ \text{[ ]} \] dollars.
Transcribed Image Text:A record store is deciding on what price to sell its basic used CDs and LPs for. The profit model is \[ P(x, y) = e^{9x + 10y - x^2 - y^2 - 33} \] dollars per month where \( x \) is the price per CD (in dollars) and \( y \) is price per LP (in dollars). To maximize profit, the store should charge: \[ \text{[ ]} \] dollars per CD, \[ \text{[ ]} \] dollars per LP. The maximum profit earned in a month is: \[ \text{[ ]} \] dollars.
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