Profit A manufacturer of microcomputers estimates that t months from now it will sell x thousand units of its main line of microcomputers per month, where x = .05 t 2 + 2 t + 5 . Because of economics of scale, the profit P from manufacturing and selling x thousand units is estimated to be P = .001 x 2 + .1 x − .25 million dollars. Calculate the rate at which the profit will be increasing 5 months from now.
Profit A manufacturer of microcomputers estimates that t months from now it will sell x thousand units of its main line of microcomputers per month, where x = .05 t 2 + 2 t + 5 . Because of economics of scale, the profit P from manufacturing and selling x thousand units is estimated to be P = .001 x 2 + .1 x − .25 million dollars. Calculate the rate at which the profit will be increasing 5 months from now.
Solution Summary: The author calculates the rate at which the profit will be increasing in 5 months from now.
Profit A manufacturer of microcomputers estimates that
t
months from now it will sell
x
thousand units of its main line of microcomputers per month, where
x
=
.05
t
2
+
2
t
+
5
. Because of economics of scale, the profit
P
from manufacturing and selling
x
thousand units is estimated to be
P
=
.001
x
2
+
.1
x
−
.25
million dollars. Calculate the rate at which the profit will be increasing
5
months from now.
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