Lorena likes to play golf. The number of times per year that she plays depends on both the price of playing a round of golf as well as Lorenas income and the cost of other types of entertainmentin particular, how much it costs to go see a movie instead of playing golf. The three demand schedules in the table below show how many rounds of golf per year Lorena will demand at each price under three different scenarios. In scenario D1, Lorenas income is $80,000 per year and movies cost $15 each. In scenario D2, Lorenas income is also $80,000 per year, but the price of seeing a movie rises to $17. And in scenario D3, Lorenas income goes up to $100,000 per year, while movies cost $17. D1 D2Scenario D1 80,000 $ 15 $ 80,000 $ 17 $ 100,000 17 ncome per vear Price of movie ticket Price of Golf $55 $40 $25 15 25 40 Quantity Demanded 10 15 20 15 30 50 a. Using the data under D1 and D2, calculate the cross elasticity of Lorenas demand for golf at all three prices. (To do this, apply the midpoints approach to the cross elasticity of demand.) At $55, cross elasticity = . At $40, cross elasticity = . At $25, cross elasticity = . Is the cross elasticity the same at all three prices (Yes or No)? Are movies and golf substitute goods, complementary goods, or independent goods? b. Using the data under D2 and D3, calculate the income elasticity of Lorenas demand for golf at all three prices. (To do this, apply the midpoints approach to the income elasticity of demand.) At $55, income elasticity of demand = . At $40, income elasticity of demand = . At $25, income elasticity of demand = . Is the income elasticity the same at all three prices (Yes or No)? Is golf an inferior good (Yes or No), it is a (normal good or an inferior good).