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

$D_S=228-0\mathrm{.}60P_S+0\mathrm{.}35P_H$

$D_H=265+0\mathrm{.}10P_S-0\mathrm{.}64P_H$

The store wishes $to$ determine the selling price that maximizes revenue for these two products. Develop the revenue function $R{P}_S$ and $P_H$ onlyR$=$

Price for $Sky$ Eagle

$P_S=$$

$P_H=$$

$R=$$

Price for Horizon $,P_H=$$

Optimal revenue