Answer :
Answer:
The rate of change with respect to monthly sales is 4000 - 200t.
Step-by-step explanation:
The sales per month (monthly sales) of the new sound system being sold by Sunny Electronics is given by q(t) = 4000t - 100[tex]t^2[/tex] units per month, where t is number of months from the introduction of the sound system.
The price of each unit of the sound system charged by Sunny Electronics is given by p(t) = 2000 - [tex]t^2[/tex].
The rate of change with respect to monthly sales will be given by the equation
[tex]\frac{dq(t)}{dt} = \frac{d(4000t - 100t^2)}{dt} = 4000 - 200t[/tex].