If average household income increases by 10%, from $50,000 to $55,000 per year, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Therefore, the income elasticity of demand is , meaning that hotel rooms at the Triple Sevens are . If the price of a room at the Exhilaration were to decrease by 10%, from $250 to $225, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Because the cross-price elasticity of demand is , hotel rooms at the Triple Sevens and hotel rooms at the Exhilaration are . Triple Sevens is debating decreasing the price of its rooms to $175 per night. Under the initial demand conditions, you can see that this would cause its total revenue to . Decreasing the price will always have this effect on revenue when Triple Sevens is operating on the portion of its demand curve.

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If average household income increases by 10%, from $50,000 to $55,000 per year, the quantity of rooms demanded at the Triple Sevens from 300 rooms per night to 350 rooms per night. Therefore, the income elasticity of demand is             , meaning that hotel rooms at the Triple Sevens are      .

income elasticity of demand = % change in quantity demanded / % change in income

income elasticity of demand = 16.7% / 10% = 1.67, since it is positive, then they are normal goods, and since their IED ≥ 1, they can also be considered luxury goods.

If IED is negative, that means that a good is an inferior good, since the more you earn, the less you consume.

If the price of a room at the Exhilaration were to decrease by 10%, from $250 to $225, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Triple Sevens from 300 rooms per night to 200 rooms per night. Because the cross-price elasticity of demand is      , hotel rooms at the Triple Sevens and hotel rooms at the Exhilaration are        .

Cross price elasticity of demand = % change in quantity demanded of Triple Sevens hotel rooms / % change in price of Exhilaration hotel rooms

Cross price elasticity of demand = -33.33 / -10% = 3.33

Triple Sevens hotel and Exhilaration hotel are substitutes since their cross price elasticity is positive.

Triple Sevens is debating decreasing the price of its rooms to $175 per night (from $200). Under the initial demand conditions, you can see that this would cause its total revenue to        . Decreasing the price will always have this effect on revenue when Triple Sevens is operating on the        portion of its demand curve.

original revenue before change in price = $200 x 150 rooms = $30,000

revenue after decreasing price = $175 x (150 x 1.1667) = $175 x 175 rooms = $30,625

total revenues will increase by $625, this happens because Triple Sevens hotel is operating on the elastic portion of the demand curve.

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