Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 3 projects. Projects 1 and 2 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution. Project Cost Net Present Value 1 $275,000 $750,000 2 $235,000 $730,000 3 $230,000 $760,000 4 $225,000 $460,000 5 $240,000 $600,000 Which projects should be selected

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a.anne is a qualifying child of catherine.b.anne is not a qualifying child of catherine because she fails the gross income test.c.anne is not a qualifying child of catherine because she fails the residence test.d.anne is not a qualifying child of catherine because she fails the support test.

Nell and kirby are in the process of negotiating their divorce agreement. what should be the tax consequences to nell and kirby if the following, considered individually, became part of the agreement? a. in consideration for her one-half interest in their personal residence, kirby will transfer to nell stock with a value of $200,000 and $50,000 of cash. kirby's cost of the stock was $150,000, and the value of the personal residence is $500,000. they purchased the residence three years ago for $300,000.nell's basis for the stock is $ xkirby's basis in the house is $ xb. nell will receive $1,000 per month for 120 months. if she dies before receiving all 120 payments, the remaining payments will be made to her estate.the payments (qualify, do not qualify) as alimony and are (included in, excluded from) nell's gross income as they are received.c. nell is to have custody of their 12-year-old son, bobby. she is to receive $1,200 per month until bobby (1) dies or (2) attains age 21 (whichever occurs first). after either of these events occurs, nell will receive only $300 per month for the remainder of her life.$ x per month is alimony that is (included in, excluded from) nell's gross income, and the remaining $ x per month is considered (child support, property settlement) and is (nontaxable, taxable) to nell.

Three pounds of material a are required for each unit produced. the company has a policy of maintaining a stock of material a on hand at the end of each quarter equal to 30% of the next quarter's production needs for material a. a total of 35,000 pounds of material a are on hand to start the year. budgeted purchases of material a for the second quarter would be: