Jim's Camera shop sells two high$-$end cameras, the Sky Eagle and Horizon. The demand for these two cameras are as follows $($DS $=$ demand for the Sky Eagle, Ps is the selling price of the Sky Eagle, DH is the demand for the Horizon and PH is the selling price of the Horizon$)$:

Ds $=215-0\mathrm{.}6$ Ps $+0\mathrm{.}25$ PH

DH $=270+0\mathrm{.}1$ Ps $-0\mathrm{.}55$ PH

The store wishes to determine the selling price that maximizes revenue for these two products. Select the revenue function for these two models. Choose the correct answer below.

$($i$)$ Ps Ds $+$ PHDH $=$ PH$(270-0\mathrm{.}1$ Ps $-0\mathrm{.}55$ PH$)+$ Ps$(215-0\mathrm{.}6$ Ps $+0\mathrm{.}25$ PH$)$

$($ii$)$ Ps Ds $-$ PH DH $=$ Ps$(215-0\mathrm{.}6$ Ps $+0\mathrm{.}25$ PH$)-$ PH$(270-0\mathrm{.}1$ Ps $-0\mathrm{.}55$ PH$)$

$($iii$)$ Ps Ds $+$ PH DH $=$ Ps$(215-0\mathrm{.}6$ Ps $+0\mathrm{.}25$ PH$)+$ PH$(270+0\mathrm{.}1$ Ps $-0\mathrm{.}55$ PH$)$

$($iv$)$ Ps Ds $-$ PH DH $=$ Ps$(215+0\mathrm{.}6$ Ps $+0\mathrm{.}25$ PH$)-$ PH$(270-0\mathrm{.}1$ Ps $-0\mathrm{.}55$ PH$)$

Option $($iii$)$

Find the prices that maximize revenue.

Do not round intermediate calculations. If required, round your answers to two decimal places.

Optimal Solution:

Selling price of the Sky Eagle $($Ps$)$: $?$

Selling price of the Horizon $($PH$)$: $?$

Total Revenue: $?$