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

Eagle, $P_S$ is the selling price of the Sky Eagle, $D_H$ is the demand for the Horizon, and $P_H$ is the selling price of the Horizon$)$:

$D_S=220-0\mathrm{.}5P_S+0\mathrm{.}15P_H$

$D_H=275+0\mathrm{.}2P_S-0\mathrm{.}52P_H$

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$)P_S{D}_S+P_H{D}_H=P_H(275-0\mathrm{.}2P_S-0\mathrm{.}52P_H)+P_S(220-0\mathrm{.}5P_S+0\mathrm{.}15P_H)$

$($ii$)P_S{D}_S-P_H{D}_H=P_S(220-0\mathrm{.}5P_S+0\mathrm{.}15P_H)-P_H(275-0\mathrm{.}2P_S-0\mathrm{.}52P_H)$

$($iii$)P_S{D}_S+P_H{D}_H=P_S(220-0\mathrm{.}5P_S+0\mathrm{.}15P_H)+P_H(275+0\mathrm{.}2P_S-0\mathrm{.}52P_H)$

$($iv$)P_S{D}_S-P_H{D}_H=P_S(220+0\mathrm{.}5P_S+0\mathrm{.}15P_H)-P_H(275-0\mathrm{.}2P_S-0\mathrm{.}52P_H)$

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 $(\{$:$P_S)$:$$

Selling price of the Horizon $(P_H)$:$

Total Revenue: $Steps for Posting a question