Hi, I am a bit confused about how to solve the question posted below. In particular, I am not sure how to determine the optimal amount of consumption and leisure that a worker chooses without a utility function, as there is no utility function provided in the question. I would appreciate any help, thank you!

Question 3.1 Consider a worker with time endowment T = 16, and non-labor income V = 32. He lives in a country with a progressing tax system where workers with higher earnings have to pay higher wages. In particular, there is a tax on labor earnings of T1 = 0.2 if labor earnings (only labor earnings!) is below 150, and a high tax rate 72 = 0.4 on every additional earnings above 150. Plot the budget constraint for a worker with wage to = 5 and for a worker with wage w = 15