Zac consumes only pizza and chianti. He consumes these goods in fixed proportions: 2 slices of pizza for one glass of chianti. His income is $100 per week.

a. Derive demand functions forpizza and chianti. Are the goods normal or inferior, substitutes or complements?

b. If pizza costs $1 per slice and chianti $3 per glass, how much of each good will he consume?

c. If the price of pizza falls to $0.5 per slice and, chianti stays at $3 per glass, how much of each good will Zac consume?

d. Using a suitably labelled diagram with pizza on the horizontal axis, illustrate the impact of the change in price of pizza from $1 to $0.5 per slice. Show the level of utility before and after the price change and show the decomposition line.