Question

Just the answer please, I don't need the work

1. If we graph Mary Granola’s indifference curves with avocados on the horizontal axis and grapefruits on the vertical axis, then whenever she has more grapefruits than avocados, the slope of her indifference curve is -2. Whenever she has more avocados than grapefruits, the slope is -1/2. Mary would be indifferent between a bundle with 12 avocados and 17 grapefruits and another bundle that has 37 avocados and

   		22 grapefruits.
   		12 grapefruits.
   		17 grapefruits.
   		2 grapefruits.

Answer 1

We know that, when she has more grapefruits than avocados, the slope of her indifference curve is -2. Thus, 2 grapefruit = 1 avocado until their numbers are equal.

So, increasing avocado by x will have to come with 2x fall in grapefruit.

Thus 12+x=17-2x

x=5/3

So,  12 avocados and 17 grapefruits = 13.67 avocados and 13.67 grapefruits

Now, whenever she has more avocados than grapefruits, the slope is -1/2. So, 1 grapefruit = 2 avocado after that.

37-2x=13.67

x=23.33/2=11.665

So, 13.67-11.665=2 grapefruits.

So, the correct answer is 2 grapefruits.