The Acme Machine Shop has five machines that periodically break down and require service. The average time between breakdowns is 4 days, distributed according to an exponential distribution. The average time to repair a machine is 1 day, distributed according to an exponential distribution. One mechanic repairs the machines in the order in which they break down. Required:
a. Determine the probability that the mechanic is idle.
b. Determine the mean number of machines waiting to be repaired.
c. Determine the mean time machines wait to be repaired.
d. Determine the probability that three machines are not operating (are being repaired or waiting to be repaired).

Each of the following scenarios is based on facts in anactual fraud. categorize each scenario as primarily indicating (1) anincentive to commit fraud, (2) an opportunity to commit fraud, or(3) a rationalization for committing fraud. also state your reasoningfor each scenario.a. there was intense pressure to keep the corporation ' stock from declining further. this pressure came from investors, analysts,and the ceo, whose financial well-being was significantly dependent on the corporation ' s stock price.b. a group of top-level management was compensated (mostly in the form of stock-options) well in excess of what would be considered normal for their positions in this industry.c. top management of the company closely guards internal financial information, to the extent that even some employees on a “need-to-know basis” are denied full access.d. managing specific financial ratios is very important to the company, and both management and analysts are keenly observant of variability in key ratios. key ratios for the company changed very little even though the ratios for the overall industry were quite volatile during the time period.e. in an effort to reduce certain accrued expenses to meet budget targets, the cfo directs the general accounting department to reallocate a division’s expenses by a significant amount. the general accounting department refuses to acquiesce to the request, but the journal entry is made trough the corporate office. an accountant in the general accounting department is uncomfortable with the journal entries required to reallocate divisional expenses. he brings his concerns to the cfo, who assures him that everything will be fine and that the entries are necessary. the accountant considers resigning, but he does not have another job lined up and is worried about supporting his family. therefore, he never voices his concerns to either the internal or external auditors.f. accounting records were either nonexistent or in a state of such disorganization that significant effort was required to locate or compile them.

The following balance sheet for the los gatos corporation was prepared by a recently hired accountant. in reviewing the statement you notice several errors. los gatos corporation balance sheet at december 31, 2018 assets cash $ 44,000 accounts receivable 86,000 inventories 57,000 machinery (net) 122,000 franchise (net) 32,000 total assets $ 341,000 liabilities and shareholders' equity accounts payable $ 54,000 allowance for uncollectible accounts 7,000 note payable 59,000 bonds payable 112,000 shareholders' equity 109,000 total liabilities and shareholders' equity $ 341,000 additional information: cash includes a $22,000 restricted amount to be used for repayment of the bonds payable in 2022. the cost of the machinery is $194,000. accounts receivable includes a $22,000 note receivable from a customer due in 2021. the note payable includes accrued interest of $7,000. principal and interest are both due on february 1, 2019. the company began operations in 2013. income less dividends since inception of the company totals $37,000. 52,000 shares of no par common stock were issued in 2013. 200,000 shares are authorized. required: prepare a corrected, classified balance sheet. (amounts to be deducted should be indicated by a minus sign.)

Actual usage for the year by the marketing department was 70,000 copies and by the operations department was 330,000 copies. if a dual-rate cost-allocation method is used, what amount of copying facility costs will be budgeted for the operations department?