Rafael sold an asset to Jamal. What is Rafael's amount realized on the sale in each of the following alternative scenarios?
A. Rafael receives $80,000 of cash and a vehicle worth $10,000. Rafael also pays $5,000 in selling expense.
B. Rafael received $80,000 of cash and was relieved of a $30,000 mortgage on the asset he sold to Jamal. Rafael also paid a commission of $5,000 on the transaction.
C. Rafael received $20,000 of cash, a parcel land worth $50,000, and marketable securities of $10,000. Rafael also paid a commission of $8,000 on the transaction.

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

Select the word from the list that best fits the definition sometimes

Cynthia is a hospitality worker in the lodging industry who prefers to cater to small groups of people. she might want to open a