Consider the following game. you pay me an entry fee of x dollars, then i roll a fair die. if the die shows a number less than 3, i pay you nothing; if the die shows a 3 or 4, i give you back your entry fee of x dollars; if the die shows a 5, i will pay you $1; and if the die shows a 6, i pay you $3. what value of x makes the game fair (in terms of expected value) for both of us

What is the difference between total utility and marginal utility? a. marginal utility is subject to the law of diminishing marginal utility while total utility is not. b. total utility represents the consumer optimum while marginal utility gives the total utility per dollar spent on the last unit. c. total utility is the total amount of satisfaction derived from consuming a certain amount of a good while marginal utility is the additional satisfaction gained from consuming an additional unit of the good. d. marginal utility represents the consumer optimum while total utility gives the total utility per dollar spent on the last unit.