Question

The willingness of sports equipment manufacturers to produce tennis rackets depends on the price for which the tennis rackets can be sold. This relationship can be modeled by:

S(p) = 0.09p2 − 4.2p + 51

where S(p) represents the supply of tennis rackets in millions when p is the price in dollars, and the price is greater than $25.

Please check out image!

Answer 1

1.)

\[s(p)=0.09(40)^2-4.2(40)+51\]

Answer 2

revenue = price x quantity

Answer 3

\[R(p) = p * S(p) \]

Answer 4

\[R(P)=70[0.09(70)^2-4.2(70)+51]\]