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#### 1) Ernie likes to consume two commodities: rubber duckies and saxophones

1) Ernie likes to consume two commodities: rubber duckies and saxophones.(a) The slope of Ernie's indifference curve (rubber duckies on the y-axis and saxophones on the x-axis) is -2 whenever Ernie has more rubber duckies than saxophones. When Ernie has more rubber duckies than saxophones, this means that he is willing to give up how many rubber duckies to get one additional saxophone?

(b) The slope of Ernie's indifference curve (rubber duckies on the y-axis and saxophones on the x-axis) is -1/2 whenever Ernie has more saxophones than rubber duckies. When Ernie has more saxophones than rubber duckies, this means that he is willing to give up how many rubber duckies to get one additional saxophone?

(c) Sketch Ernie's indifference curve that goes through the point (10 rubber duckies, 10 saxophones).

(d) Sketch Ernie's indifference curve that goes through the point (20 rubber duckies, 20 saxophones). (e) Are Ernie's preferences convex?