Ray ray made the following contributions this year
charity property cost fmv
athens academy school cash $ 7,650 $ 7,650
united way cash 5,450 5,450
american heart association antique painting 15,250 76,250
first methodist church coca-cola stock 12,250 18,375
determine the maximum amount of charitable deduction for each of these contributions ignoring the agi ceiling on charitable contributions and assuming that the american heart association plans to sell the antique painting to fund its operations. ray ray has owned the painting and coca-cola stock since 1990.

cash contributions maximum

property donations maximum amount?

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Peppy knows a lot about marketing, but not much about the legal or financial aspects of starting a new business. he wants to consult with a lawyer and accountant, but his budget is tight with all of the expenses involved in getting peppy's pizzazzeria up and running. peppy should: trust his basic instincts and try to put it together without the advice of lawyers and accountants. delay talking with a lawyer and accountant until the business has established a positive cash flow for at least one year. immediately hire full-time lawyers and accountants for his staff. consult with a lawyer and accountant even though the budget is tight.

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i.e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?