The following questions refer to a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. (a) Write a constraint modeling a situation in which exactly three of the projects 1, 3, 5, and 6 must be undertaken. (b) Write a constraint modeling a situation in which, if projects 3 or 5 must be undertaken, then they must be undertaken simultaneously. (c) Write a constraint modeling a situation in which project 1 or 4 must be undertaken, but not both. (d) Write constraints modeling a situation where project 4 cannot be undertaken unless projects 1 and 3 also are undertaken. (Enter your answer as a comma-separated list of equations and/or inequalities.) (e) In addition to the requirement in part (d), assume that when projects 1 and 3 are undertaken, project 4 also must be undertaken. (Enter your answer as a comma-separated list of equations and/or inequalities.)

Identifying transactions national park tours co. is a travel agency. the nine transactions recorded by national park tours during may 2019, its first month of operations, are indicated in the following t accounts: cash (1) 75,000 (2) 900 (7) 8,150 (3) 1,600 (4) 6,280 (6) 2,700 (9) 2,500 accounts receivable (5) 12,300 (7) 8,150 supplies (2) 900 (8) 660 equipment (3) 8,000 accounts payable (6) 2,700 (3) 6,400 beth worley, capital (1) 75,000 beth worley, drawing (9) 2,500 fees earned (5) 12,300 operating expenses (4) 6,280 (8) 660 indicate for each debit and each credit (a) whether an asset, liability, owner's equity, drawing, revenue, or expense account was affected and (b) whether the account was increased (+) or decreased account debited account credited transaction type effect type effect (1) (2) (3) (4) (5) (6) (7) (8) (9)

The amberssen specialty company is a chain of twelve retail stores that sell a variety of imported gift items, gourmet chocolates, cheeses, and wines in the toronto area. amberssen has an is staff of three people who have created a simple but effective information system of networked point-of-sale registers at the stores and a centralized accounting system at the company head- quarters. harry hilman, the head of amberssens is group, has just received the following memo from bill amberssen, sales director (and son of amberssen’s founder). harry—it’s time amberssen specialty launched itself on the internet. many of our competitors are already there, selling to customers without the expense of a retail storefront, and we should be there too. i project that we could double or triple our annual revenues by selling our products on the internet. i’d like to have this ready by - giving, in time for the prime holiday gift-shopping season. bill after pondering this memo for several days, harry scheduled a meeting with bill so that he could clarify bill’s vision of this venture. using the standard con- tent of a system request as your guide, prepare a list of questions that harry needs to have answered about this project.

Four students are at an extracurricular activity fair at their high school and are trying to decide which clubs to join. some information about the students is listed in this chart: which describes which ctso each student should join?