A vintner is deciding when to release a vintage of sauvignon blanc. If it is bottled and released now, the wine will be worth $ 2.6 million. If it is barrel aged for a further year, it will be worth 25% more, though there will be additional costs of $ 975 comma 000 incurred at the end of the year. If the interest rate is 7%, what is the present value of the difference in the benefit the vintner will realize if he releases the wine after barrel aging it for one year or if he releases the wine now?

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

Tina is applying for the position of a daycare assistant at a local childcare center. which document should tina send with a résumé to her potential employer? a. educational certificate b. work experience certificate c. cover letter d. follow-up letter

During which of the following phases of the business cycle does the real gdp fall? a. trough b. expansion c. contraction d. peak