Brenda, the consumer in Problem 3, now has to make a decision about how many bagels and how much coffee to have for breakfast. She has $8 of income to spend on bagels and coffee. Use the information given in the table in Problem 3 to answer the following questions.
a. Bagels cost $2 each, and coffee costs $2 per cup. Which bundles are on Brenda's budget line? For each of these bundles, calculate the level of utility (in utils) that Brenda enjoys. Which bundle is her optimal bundle?
b. The price of bagels increases to $4, but the price of coffee remains at $2 per cup. Which bundles are now on Brenda's budget line? For each bundle, calculate Brenda's level of utility (in utils). Which bundle is her optimal bundle?
c. What do your answers to parts a and b imply about the slope of Brenda's demand curve for bagels? Describe the substitution effect and the income effect of this increase in the price of bagels, assuming that bagels are a normal good.