John has $30 to spend on a game of billiards. Show John's total utility derived from billiards and bowling games.
a) Utilize the marginal utility formula to calculate total utility for billiards and bowling.
b) Apply the principle of diminishing marginal utility to assess John's spending efficiency.
c) Determine the equilibrium point where John maximizes utility within his budget.
d) Use the concept of indifference curves to illustrate John's preferences between billiards and bowling.
