Samantha loves to consume two goods, apples and oranges. a) Her preference for these two goods is such that the slope of an indifference curve, where the quantity of apples is shown on the vertical axis, through any point where she has more apples than oranges is - 2. How many apples is she willing to give up to get one orange when she has more apples than oranges? b) Her preference for these two goods is such that the slope of an indifference curve, where the quantity of apples is shown on the vertical axis, through any point where she has fewer apples than oranges is - 1/2. How many apples is she willing to give up to get one orange when she has fewer apples than oranges? c) Draw an indifference curve for Samantha, where the quantity of apples is shown on the vertical axis, for Samantha through bundle (10 apples, 10 oranges). Draw another indifference curve, where the quantity of apples is shown on the vertical axis, for Samantha through bundle (20 apples, 20 oranges) on the same graph. d) Does Samantha have convex preferences? Explain