A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x,y) = 6x + 8y C(x,y) = x² − 3xy + 6y² + 3x + 5y − 9 Determine how many of each type of solar panel should be produced per year to maximize profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A company produces two types of solar panels per year: \( x \) thousand of type A and \( y \) thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows.

\[
R(x,y) = 6x + 8y
\]

\[
C(x,y) = x^2 - 3xy + 6y^2 + 3x + 5y - 9
\]

Determine how many of each type of solar panel should be produced per year to maximize profit.
Transcribed Image Text:A company produces two types of solar panels per year: \( x \) thousand of type A and \( y \) thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. \[ R(x,y) = 6x + 8y \] \[ C(x,y) = x^2 - 3xy + 6y^2 + 3x + 5y - 9 \] Determine how many of each type of solar panel should be produced per year to maximize profit.
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