Question 2 (1.5 points) Suppose that the surfboard company (from a previous Knowledge Check question) has developed the yearly profit equation

P(x, y)=−22x2+22xy−11y2+110x−44y−23
P
(
x
,
y
)
=
−
22
x
2
+
22
x
y
−
11
y
2
+
110
x
−
44
y
−
23

where x
x
is the number (in thousands) of standard boards produced per year, y
y
is the number (in thousands) of competition boards produced per year, and P
P
is profit (in thousands of dollars).

How many of each type of board should be produced per year to realize a maximum profit?
What is the maximum profit?
Hint: Use the Second Derivative Test for Functions of Two Variables.