You're trying to decide how much time to spend working, h. You like earning money from work, but you don't like working -- it is so boring! Your utility from hours worked can be expressed by the following function:

()= a . ln h³ - b.h

a and b are constant numbers.

(8) (i) How many hours worked would maximize your utility?

(4) (ii) Based on your answer in part i, if b increased, would you work more hours or fewer hours? What if a increased? Explain in words - no calculus is necessary for full marks. Or you may use calculus if you wish to demonstrate your skill