Mathematics

Problem

The weekly production cost

C

(in dollars) for a product is modeled by

C(q)=40q+0.05q^{2}

, where

q

is the weekly demand in units. Demand depends on the selling price

p

(in dollars) through

q(p)=1500-25p

. At the moment when the price is \

20 and is falling at a rate of

0.80 per week, what is

\dfrac{dC}{dt}

? a)

-2.8\times10^{3}\;\text{dollars per week}

2.8\times10^{3}\;\text{dollars per week}

3.5\times10^{3}\;\text{dollars per week}

1.8\times10^{3}\;\text{dollars per week}