Hart manufacturing makes three products. each product requires manufacturing operations in three departments: a, b and c. the labor-hour requirements, by department, are:

department product 1 product 2 product 3
a 1.50 3.00 2.00
b 2.00 1.00 2.50
c 0.25 0.25 0.25

during the next production period, the labor-hours available are 450 in department a, 350 in department b, and 50 in department c. the profit contributions per unit are $25 for product 1, $28 for product 2, and $30 for product 3.
a. formulate a linear programming model for maximizing total profit
b. solve the linear program formulated in part (a) by using excel. include the computer output. how much of each product should be produced and what is the projected total profit contribution?
c. after evaluating the solution obtained in part (a), one of the production supervisors noted that production setup costs had not been taken into account. she noted that setup costs are $400 for product 1, $550 for product 2, and $600 for product 3. if the solution developed in part (b) is to be used, what is the total profit after taking into account the setup costs?
d. management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). formulate a mixed integer linear program that takes setup cost into account. management has also stated that we should not consider making more than 175 units of product 1, 150 of product 2, or 140 units of product 3. provide the formulation.
e. solve the mixed integer linear program formulated in part (d) by using excel. include the computer output. how much of each product should be produced and what is the projected profit? compare this profit to that obtained in part (c)

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.

Sally is buying a home and the closing date is set for april 20th. the annual property taxes are $1,234.00 and have not been paid yet. using actual days, how much will the buyer be credited and the seller be debited

The following pertains to smoke, inc.’s investment in debt securities: on december 31, year 3, smoke reclassified a security acquired during the year for $70,000. it had a $50,000 fair value when it was reclassified from trading to available-for-sale. an available-for-sale security costing $75,000, written down to $30,000 in year 2 because of an other-than-temporary impairment of fair value, had a $60,000 fair value on december 31, year 3. what is the net effect of the above items on smoke’s net income for the year ended december 31, year 3?