A firm produces red and blue bobbleheads. It can sell red bobbleheads for

$20 - Q_r/2000 a piece

And blue bobbleheads for

$17 - Q_b/2000 a piece

Where Q_r = red bobbleheads per week

Q_b = ble bobbleheads per week

The total cost of producing Q = Q_r + Q_b bobbleheads is

4Q + Q^2/4000.

What are the profit maximizing quantities of red and blue bobbleheads for this firm to make and sell?

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