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9. Application: Elasticity and hotel rooms The following graph input tool shows the daily demand for hotel rooms at the Big Winner Hotel and Casino

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9. Application: Elasticity and hotel rooms The following graph input tool shows the daily demand for hotel rooms at the Big Winner Hotel and Casino in Las Vegas, Nevada. To help the hotel management better understand the market, an economist Identied three primary factors that affect the demand for rooms each night. These demand factors, along WIth the values corresponding to the In al demand curve, are shown In the following table and alongside the graph input tool. Demand Factor Initial Value Average American household income $50,000 per year Roundtrip airfare from San Francisco (sro) to Las Vegas (us) $250 per roundtrlp Room rate at tile Lucky Hotel and Casino, which is near the Big Winner $200 per night Use the graph Input tool to help you answer the following questions. You Will not be graded on any changes you make to this graph. Note: Once you enter a value in a whlte eld, the graph and any corresponding amounts in each grey eld WIII change accordingly. Graph Input Tool (? Market for Big Winner's Hotel Rooms 500 450 Price 350 (Dollars per room) 400 Quantity 150 350 Demanded (Hotel rooms per 300 night) 250 PRICE (Dollars per room) 200 Demand Factors 150 Demand Average Income 50 (Thousands of 100 dollars) 50 Airfare from SFO to 250 LAS 0 (Dollars per 0 100 150 200 250 300 350 400 450 500 roundtrip) QUANTITY (Hotel rooms) Room Rate at Lucky 200 "Dollars per nightFor each of the following scenarios, begin by assuming that all demand factors are set to their original values and Big Winner is charging $350 per room per night. Falls / Rises vvVV If average household income increases by 20%, from $50,000 to $60,000 per year, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Therefore, the income elasticity of demand is , meaning that hotel rooms at the Big Winner are Negative / Positive A normal good / An inferior good Falls / RisesvvVV If the price of an airline ticket from SFO to LAS were to increase by 20%, from $250 to $300 roundtrip, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Big Winner from rooms per night to rooms per night. Because the cross- price elasticity of demand is , hotel rooms at the Big Winner and airline trips between SFO and LAS are Negative / Positive Substitutes / Complements Increases / Decreases vvVv Big Winner is debating decreasing the price of its rooms to $325 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 Big Winner is operating on the portion of its demand curve. Elastic / Inelastic

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