The monthly sales of Sunny Electronics' new sound system are given by

q(t) = 2,000t − 90t2 units per month,

t months after its introduction. The price Sunny charges is

p(t) = 1,000 − t2 dollars

per sound system, t months after introduction. Find the rate of change of monthly sales.

q'(t) =?

Find the rate of change of the price.

p'(t) =?

Find the rate of change of monthly revenue 5 months after the introduction of the sound system.

$ ? per month

Interpret your answer.

When t = ? , the revenue is increasing at a rate of $ ?per month.

q(t) = 2,000t − 90t2 units per month,

t months after its introduction. The price Sunny charges is

p(t) = 1,000 − t2 dollars

per sound system, t months after introduction. Find the rate of change of monthly sales.

q'(t) =?

Find the rate of change of the price.

p'(t) =?

Find the rate of change of monthly revenue 5 months after the introduction of the sound system.

$ ? per month

Interpret your answer.

When t = ? , the revenue is increasing at a rate of $ ?per month.