Jim's Camera shop sells two high$-$end cameras, the Sky Eagle and Horizon. The demands and selling prices for these two cameras are as follows.

DS $=$ demand for the Sky Eagle

PS $=$ selling price of the Sky Eagle

DH $=$ demand for the Horizon

PH $=$ selling price of the Horizon

DS $=2280\mathrm{.}60$PS $+0\mathrm{.}35$PH

DH $=275+0\mathrm{.}10$PS $0\mathrm{.}64$PH

The store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenue function R $($in terms of

PS

and

PH

only$)$ for these two models, and find the revenue maximizing prices $($in dollars$).($Round your answers to two decimal places.$)$

Revenue

R

$=$

Price for Sky Eagle

PS

$=$ $

Price for Horizon

PH

$=$ $

Optimal revenue

R

$=$ $