?

Single Variable Calculus

Free Version

Upgrade subject to access all content

Moderate

Rate of Profit Change

SVCALC-XEUUX1

The quantity sold $t$ months from now is $x(t)=.07t^2+5t+2$ items per month. The profit from selling $x$ in a month is $P(x)=.003 x^2+.5x-.95$. At what rate do we predict the profit will be changing $6$ months from now?​

A

$3.1302$ dollars/month

B

$4.0422$ dollars/month

C

$5.84$ dollars/month

D

$32.0252$ dollars/month