The Perfect House company produces two types of bathtub, the Hydro Deluxe model and the Singing Bird model. The company noticed that demand and prices are related. In particular, for Hydro Deluxe: demand = 1300 - price of Hydro Deluxe + price of Singing Bird for Singing Bird: demand = 1150 + price of Hydro Deluxe -2(price of Singing Bird}. The costs of manufacturing the Hydro Deluxe and Singing Bird are $500 and $300 per unit respectively. Determine the price of each model that gives the maximum prot. Hydro Deluxe: SE n Singing Bird:$ n