A given merchandise must be transported at a minimum total cost between two origins (supply) and two destinations (demand). Destination 1 and 2 demand 500 and 700 units of merchandise, respectively. At the origins, the available amounts of merchandise are 600 and 800 units. USPS charges $5 per unit from origin 1 to demand 1, and $7 per unit from origin 1 to demand 2. From origin 2 to demand 1 and 2, USPS charges the same unit cost, $10 per unit, however, after 200 units, the unit cost of transportation increases by 50% (only from origin 2 to demand 1 and 2). Required:
a. Formulate this as a network-flow problem in terms of objective function and constraint(s.
b. How many units of merchandise should be shipped on each route and what is total cost?

Depreciation on the company's equipment for 2017 is computed to be $18,000.the prepaid insurance account had a $6,000 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of the company's insurance policies showed that $1,100 of unexpired insurance coverage remains. the office supplies account had a $700 debit balance on december 31, 2016; and $3,480 of office supplies were purchased during the year. the december 31, 2017, physical count showed $300 of supplies available. two-thirds of the work related to $15,000 of cash received in advance was performed this period. the prepaid insurance account had a $6,800 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of insurance policies showed that $5,800 of coverage had expired. wage expenses of $3,200 have been incurred but are not paid as of december 31, 2017.

Match the given situations to the type of risks that a business may face while taking credit. 1. beta ltd. had taken a loan from a bank for a period of 15 years, but its sales are gradually showing a decline. 2. alpha ltd. has taken a loan for increasing its production and sales, but it has not conducted any research before making this decision. 3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession. 4. delphi ltd. has taken a short-term loan from the bank, but its supply chain logistics are not in place. a. foreign exchange risk b. operational risk c. term of loan risk d. revenue projections risk

Which of the following statements is true regarding the reporting of outside interests and the management of conflicts? investigators are responsible for developing their own management plans for significant financial interests. the institution must report identified financial conflicts of interest to the u. s. office of research integrity. investigators must disclose their significant financial interests related to their institutional responsibilities and not just those related to a particular project. investigators must disclose all of their financial interests regardless of whether they are related to a research project.