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.

$D_S=$ demand for the Sky Eagle

$P_S=$ selling price of the Sky Eagle

$D_H=$ demand for the Horizon

$P_H=$ selling price of the Horizon

$D_S=225-0\mathrm{.}60P_S+0\mathrm{.}35P_H$

$D_H=260+0\mathrm{.}10P_S-0\mathrm{.}64P_H$

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

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

Revenue

Price for Sky Eagle

Price for Horizon

Optimal revenue

$R=$

$P_S=$$

$P_H=$$

$R=$$