You wish to estimate the utility to you of earning the annual salaries in the left column of Table 3.1.

You fix the utility of $10,000 arbitrarily at 15, and the utility of $40,000 arbitrarily at 25.

You decide that you are indifferent between

(a) receiving a sure salary of Q between $10,000 and

$40,000 and

(b) taking a chance of receiving $40,000 with probability p and $10,000 with probability 1 - p, where Q and p are shown in the table. Calculate the utility of salaries $15,000,

$20,000, and $30,000.