(Bounds on returns) Consider a universe of just three securities. They have expected rates of return of 10%, 20%, and 10%, respectively. Two portfolios are known to lie on the minimum-variance set. They are defined by the portfolio weights w = .60 .20 .20 ⎤ ⎦, v= − .80 .20 .40 ⎤ ⎦ It is also known that the market portfolio is efficient. (a) Given this information, what are the minimum and maximum possible values for the expected rate of return on the market portfolio? (b) Now suppose you are told that w represents the minimum-variance portfolio. Does this change your answers to part (a)?

The law firm of furlan and benson accumulates costs associated with individual cases, using a job order cost system. the following transactions occurred during july: jul. 3 charged 175 hours of professional (lawyer) time to the obsidian co. breech of contract suit to prepare for the trial, at a rate of $150 per hour. 10 reimbursed travel costs to employees for depositions related to the obsidian case, $12,500. 14 charged 260 hours of professional time for the obsidian trial at a rate of $185 per hour. 18 received invoice from consultants wadsley and harden for $30,000 for expert testimony related to the obsidian trial. 27 applied office overhead at a rate of $62 per professional hour charged to the obsidian case. 31 paid administrative and support salaries of $28,500 for the month. 31 used office supplies for the month, $4,000. 31 paid professional salaries of $74,350 for the month. 31 billed obsidian $172,500 for successful defense of the case. required: a. provide the journal entries for each of these transactions. refer to the chart of accounts for exact wording of account titles. b. how much office overhead is over- or underapplied? c. determine the gross profit on the obsidian case, assuming that over- or underapplied office overhead is closed monthly to cost of services.