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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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