Suppose that a worker has 112 hours per week of time that can be allocated to any combination of leisure (L) and market work (N). The worker's preferences are described by the utility function: U(C, L) = C + L where C is his consumption. The price of the consumption good is $1. The worker has a non-earned income $100 per week and an hourly wage w. (30 points)

a. What is the slope of the worker's indifference curve? (5 points)

b. What is the slope of the worker's budget line? (5 points)

c. What is the worker's reservation wage? (5 points)

d. How much leisure time would the worker choose if the wage rate is below his reservation wage? (5 points)

e. How much leisure time would the worker choose if the wage rate is above his reservation wage?(5 points)

f. Draw the worker's labour supply curve, explicitly labeling every relevant point. (5 points)