Consider a production line with three single-machine stations in series. Each has processing times with mean 2 hours and standard deviation of 2 hours. Required:
a. Suppose we run this line as a push system and release jobs into it at a rate of 0.40 per hour with arrival variability given by Ca=1.What is the average WIP in the line?
b. Compute the throughput of this line if it is run as a CONWIP line with a WIP level equal to your answer in (a). Is the throughput higher or lower than 0.4? Explain this result.
c. Suppose the marginal profit is $100 per piece and the cost of WIP is $0.50 per piece per hour. Find the profits for the above push and pull systems.

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.

Ryan terlecki organized a new internet company, capuniverse, inc. the company specializes in baseball-type caps with logos printed on them. ryan, who is never without a cap, believes that his target market is college and high school students. you have been hired to record the transactions occurring in the first two weeks of operations. issued 2,900 shares of $0.01 par value common stock to investors for cash at $29 per share. borrowed $68,000 from the bank to provide additional funding to begin operations; the note is due in two years. paid $1,000 for the current month's rent of a warehouse and another $1,000 for next month's rent. paid $1,440 for a one-year fire insurance policy on the warehouse (recorded as a prepaid expense). purchased furniture and fixtures for the warehouse for $16,000, paying $3,200 cash and the rest on account. the amount is due within 30 days. purchased for $2,800 cash the university of pennsylvania, notre dame, the university of texas at austin, and michigan state university baseball caps as inventory to sell online. placed advertisements on google for a total of $340 cash. sold caps totaling $1,900, half of which was charged on account. the cost of the caps sold was $1,100. (hint: make two entries.) made full payment for the furniture and fixtures purchased on account in (e). received $280 from a customer on account.

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)