A student must complete at least two math courses, at least two OR courses, and at least two computer courses to graduate with a major in operations research. Some courses can be used to fulfill more than one requirement: Calculus can fulfill the math requirement; operations research can fulfill math and OR requirements; data structures can fulfill computer and math requirements; business statistics can fulfill math and OR requirements; computer simulation can fulfill OR and computer requirements; introduction to computer programming can fulfill computer requirement; and forecasting can fulfill OR and math requirements. Some courses are prerequisites for others: Calculus is a prerequisite for business statistics; introduction to computer programming is a prerequisite for computer simulation and for data structures; and business statistics is a prerequisite for forecasting. Formulate an IP that minimizes the number of courses needed to satisfy the major requirements.

Transactions on april 1 of the current year, andrea byrd established a business to manage rental property. she completed the following transactions during april: opened a business bank account with a deposit of $45,000 from personal funds. purchased office supplies on account, $2,000. received cash from fees earned for managing rental property, $8,500. paid rent on office and equipment for the month, $5,000. paid creditors on account, $1,375. billed customers for fees earned for managing rental property, $11,250. paid automobile expenses for month, $840, and miscellaneous expenses, $900. paid office salaries, $3,600. determined that the cost of supplies on hand was $550; therefore, the cost of supplies used was $1,450. withdrew cash for personal use, $2,000. required: 1. indicate the effect of each transaction and the balances after each transaction: for those boxes in which no entry is required, leave the box blank. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)

If the findings and the results are not presented properly, the research completed was a waste of time and money. true false

On january 1, vermont corporation had 40,000 shares of $10 par value common stock issued and outstanding. all 40,000 shares has been issued in a prior period at $20.00 per share. on february 1, vermont purchased 3,750 shares of treasury stock for $24 per share and later sold the treasury shares for $21 per share on march 1. the journal entry to record the purchase of the treasury shares on february 1 would include a credit to treasury stock for $90,000 debit to treasury stock for $90,000 credit to a gain account for $112,500 debit to a loss account for $112,500