Problem on utility-maximizing bundle

Jane consumes only apples and chocolate. She is always willing to trade 1piece of chocolate for exactly 3 apples. Her income is $200. She can buy apples for $1 each and chocolate for $2 per piece.

a. To Jane, apples and chocolate are (circle 1):

Perfect complements
Perfect substitutes
Neither perfect complements nor perfect substitutes
Not enough information to tell

b. On the graph below, draw Jane’s budget constraint and several of her indifference curves. Illustrate her utility-maximizing bundle.

c. Jane’s local apple orchard has had a huge harvest. To try to sell more apples, they offer Jane a quantity discount. She still pays $1 per apple for the first 100 apples, but she can buy any additional apples beyond that for only $0.40 each.

Illustrate Jane’s new budget constraint and her new utility-maximizing bundle.

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