Suppose that
x
units of one input and
y
units of a second input result in
P=60x+45y-x^(2)-y^(2)-xy
units of a product. You know from experience that such a function is maximized at its critical point. Determine the inputs
x
and
y
that will maximize
P
.
x=
x
units
y=
units What is the maximum production? units